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    QR Tutorial 15 edition

    QR Tutorial 15 edition

    Your score:

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    Let’s do the questions from Tutorial 15

    1. What is Niall’s average speed as he runs a 9-kilometre cross-country race in 45 minutes?
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    Explanation

    The correct answer is E.

    Speed = Distance / Time = 9 km / 0.75 h = 12 km/h

    Post Comment

    2. How long does it take a glacier to retreat by 3,927 metres if it retreats 11 metres each month?
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    Explanation

    The correct answer is B.

    3,927 metres / 11 metres/month = 357 months

    357 months / 12 months/year = 29.75 years

    i.e. 29 years, 9 months

    Post Comment

    3. How far is it from Doug’s house to the post box, given that he manages to walk there at 2 metres per second and completes the return journey in five-and-a-half minutes?
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    Explanation

    The correct answer is A.

    Distance = Speed x Time

    but the distance to the post box gets covered in half the time:

    (5.5 minutes / 2) x 60 seconds/minute = 165 seconds

    2 m/s x 165s = 330 metres

    Post Comment

    4. If Eve completes the 69 questions of the UKCAT Situational Judgement test at an average rate of 112 seconds per 5 questions, how long does she take to finish the entire section?
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    Explanation

    The correct answer is C.

    112 seconds / 5 questions = 22.4 seconds/question

    22.4 seconds / question x 69 questions = 1545.6 seconds

    1546 seconds / 60 seconds/minute = 25.76 minutes

    Post Comment

    5. During breaktime at school, Mirka runs back home to pick up her football boots from outside the front door. If she lives 1.5 km from school and is back with her friends within 24 minutes, how fast does she run?
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    Explanation

    The correct answer is B.

    Speed = Distance / Time = 3 km / (24 / 60 hours) = 7.5 km/h

    Post Comment

    6. George repairs a tear in his grandma’s priceless watercolour by finely applying glue to both sides in turn. If the tear is 9.1 cm long and he glues a side at 1.3 cm/minute, how long will the job take him in total?
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    Explanation

    The correct answer is B.

    Time = Distance / Speed = 2 x 9.1 cm / 1.3 cm/minute = 14 minutes

    Post Comment

    7. Paula Radcliffe’s world record over marathon distance stands at 2 hours, 15 minutes and 25 seconds. Assuming that the marathon in question was 42 kilometres long, what was her average speed, to the nearest 0.1 m’s?
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    Explanation

    The correct answer is E.

    2 hours x 60 x 60 = 7,200 seconds; 15 minutes x 60 = 900 seconds

    Speed = Distance / Time = 42,000 m / 8,125 s = 5.2 m/s (1dp)

    Post Comment

    8. Theseus took 1 hour and 16 minutes to enter and escape his famed labyrinth, killing the Minotaur in negligible time in its centre. Assuming that he strode at an average speed of 6 km/h and took the most direct path throughout his journey, how far is it to the centre of the labyrinth?
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    Explanation

    The correct answer is B.

    Remember, the distance to the centre of the labyrinth only represents half his journey. 6 km/h = 0.1 km/min

    51 minutes x 0.1 km/min = 5.1 kilometres

    Post Comment
    Z Medicmind Tutor

    Thu, 23 Sep 2021 17:20:42

    where do they get the 51 minutes from?

    f Medicmind Tutor

    Sun, 22 May 2022 09:24:24

    this is wrong.

    H.D Medicmind Tutor

    Thu, 02 Jun 2022 15:52:26

    This is incorrect correct answer should be 3.8 KM

    CB Medicmind Tutor

    Mon, 10 Jul 2023 14:19:55

    Please explain where the 51 minutes comes from, rather than ignoring the comments

    9. From a stationary position, Rihanna’s car reaches a speed of 60 km/h in 3.5 seconds. What is its average acceleration over this time period?
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    Explanation

    The correct answer is D.

    A = (60 – 0) m/s / 3.5 s = 17.14 m/s2 i.e. 17 m/s2 (2sf)

    Post Comment
    Tanishka Medicmind Tutor

    Thu, 23 Jun 2022 13:18:19

    In the question, it was given that the speed is 60 kmph, how come it can be 60 m/s? It should be converted into m/s by multiplying 60 with 5/18. It will provide 16.66 m/s. now, while dividing with 3.5 sec, answer will be 4.762 m/s s.

    Jack Medicmind Tutor

    Mon, 08 Aug 2022 08:53:08

    I agree this question is wrong, it gives 60km/h not 60m/s

    10. To the nearest second, how long does a bobsleigh take to reach its peak velocity of 41 metres/second assuming a constant rate of acceleration from rest of 2.6 m/s2?
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    Explanation

    The correct answer is C.

    Time taken = 41 m/s / 2.6 m/s2 = 16 s (2sf)

    Post Comment

    11. During an 18-second sprint finish at the end of a long-distance running race, Naomi speeds up at a constant rate from 9 km/h to 15 km/h. What level of acceleration does this represent?
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    Explanation

    The correct answer is D.

    Change in speed = 6 km/h = 6000m/3600s = 1.66666 m/s

    Acceleration = 1.66666 m/s / 18s = 0.0926 m/s2

    Post Comment
    Sanandrath Medicmind Tutor

    Fri, 08 Jul 2022 15:31:20

    Where is 10.8 from ?

    12. In the 3.5 seconds after she crosses the finish line, Naomi’s velocity decreases from a sprint speed of 19.8 km/h to zero. To the nearest 0.1 m/s2, what is her average deceleration over this period?
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    Explanation

    The correct answer is B.

    19.8 km/h = 5.5 m/s

    5.5 m/s / 3.5s = 1.57 m/s2 = 1.6 m/s2 (1dp)

    Post Comment

    Route

    Distance

    Time taken

    Penzance to St. Ives

    11.5 miles

    1 h 8 min

    St. Ives to Truro

    27.9 miles

    3 h 12 min

    Bude to Saltash

    42.7 miles

    3 h 45 min

    Newquay to St Austell

    13.9 miles

    1 h 58 min

    Garth is a keen cyclist. The table shows how long Garth took to cycle a number of routes throughout the English county of Cornwall.

    13. To the nearest mile per hour, what was Garth’s average speed over the journey from St. Ives to Truro?
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    Explanation

    The correct answer is C.

    27.9 miles / 3.2 hours = 8.72 mph (3sf) = 9 mph (1sf)

    Post Comment

    Route

    Distance

    Time taken

    Penzance to St. Ives

    11.5 miles

    1 h 8 min

    St. Ives to Truro

    27.9 miles

    3 h 12 min

    Bude to Saltash

    42.7 miles

    3 h 45 min

    Newquay to St Austell

    13.9 miles

    1 h 58 min

    Garth is a keen cyclist. The table shows how long Garth took to cycle a number of routes throughout the English county of Cornwall.

    14. To the nearest hundredth of a mile per hour, how much faster did Garth cycle from Bude to Saltash than he did from St. Ives to Truro?
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    Explanation

    The correct answer is B.

    42.7 miles / 3.75 hours – 27.9 miles / 3.2 hours = 2.67 mph (2dp)

    Post Comment

    Route

    Distance

    Time taken

    Penzance to St. Ives

    11.5 miles

    1 h 8 min

    St. Ives to Truro

    27.9 miles

    3 h 12 min

    Bude to Saltash

    42.7 miles

    3 h 45 min

    Newquay to St Austell

    13.9 miles

    1 h 58 min

    Garth is a keen cyclist. The table shows how long Garth took to cycle a number of routes throughout the English county of Cornwall.

    15. If Garth had cycled from Penzance to St. Ives in the time he took to cycle from Newquay to St. Austell, what, to the nearest mph, would his average speed have been?
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    Explanation

    The correct answer is A.

    (11.5 miles / 118 minutes) x 60 minutes/hour = 5.85 mph (3sf)

    i.e. 6 mph, to the nearest mph

    Post Comment
    CB Medicmind Tutor

    Mon, 10 Jul 2023 14:23:51

    Where do you get 118 mins from? The time taken from N to St A was 1h58

    Route

    Distance

    Time taken

    Penzance to St. Ives

    11.5 miles

    1 h 8 min

    St. Ives to Truro

    27.9 miles

    3 h 12 min

    Bude to Saltash

    42.7 miles

    3 h 45 min

    Newquay to St Austell

    13.9 miles

    1 h 58 min

    Garth is a keen cyclist. The table shows how long Garth took to cycle a number of routes throughout the English county of Cornwall.

    16. To the nearest minute, how long would Garth have taken to cycle from Newquay to St. Austell if he rode at his average speed between St. Ives and Truro?
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    Explanation

    The correct answer is D.

    Speed = 27.9 miles / 3.2 h = 8.72 mph (3sf)

    Thus: 13.9 miles / 8.72 mph = 1.59 h (3sf),

    x 60 = 95.7 minutes, roughly 1 hour and 36 minutes

    Post Comment

    Section

    Distance

    Time

    Swim

    744 m

    11 min 3 s

    Bike

    19 km

    36 min 37 s

    Run

    4,850 m

    17 min 12 s

    The table shows times taken by Janet to complete different race stages during a regional triathlon competition.

    17. How fast did Janet swim, to the nearest 0.01m/s?
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    Explanation

    The correct answer is C.

    744 m / (11 x 60 + 3) s = 1.12 m/s (2dp)

    Post Comment

    Section

    Distance

    Time

    Swim

    744 m

    11 min 3 s

    Bike

    19 km

    36 min 37 s

    Run

    4,850 m

    17 min 12 s

    The table shows times taken by Janet to complete different race stages during a regional triathlon competition.

    18. To the nearest second, how long would Janet have taken over the Swim section if she could swim as fast as she managed to run?
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    Explanation

    The correct answer is A.

    Running speed = 4850 m / (17 x 60 + 12) s = 4.70 m/s (3sf)

    744 m / 4.70 m/s = 158 s (3sf), i.e. 2 minutes 38 seconds

    Post Comment

    Section

    		 Distance Time
    Swim 744 m

    11 min 3 s

    Bike

    		 19 km 36 min 37 s

    Run

    		 4,850 m

    17 min 12 s

    The table shows times taken by Janet to complete different race stages during a regional triathlon competition.

    19. Roughly how much faster did Janet cycle than she swam?
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    Explanation

    The correct answer is C.

    Swim speed = 744 m / 663 s = 1.12 m/s (3sf)

    Bike speed = 19,000 m / (36 x 60 + 37 s) = 8.65 m/s (3sf)

    8.65 – 1.12 = 7.53 m/s (3sf)

    Post Comment

    Section

    Distance

    Time

    Swim

    744 m

    11 min 3 s

    Bike

    19 km

    36 min 37 s

    Run

    4,850 m

    17 min 12 s

    The table shows times taken by Janet to complete different race stages during a regional triathlon competition.

    20. Assuming that Janet took no time at all to transition between the sections, what was her average speed throughout the triathlon, to the nearest m/s?
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    Explanation

    The correct answer is C.

    Distance = 19,000 + 4,850 + 744 = 24,594 m

    Time = (36 + 17 + 11) min (37 + 12 + 3) s = 64 min 52 s

    = 3,892 seconds

    Average speed = 24,594 m / 3,892 s = 6.32 m/s, hence C

    Post Comment

    QR Tutorial 15 edition Review Screen

    Instructions

    Below is a summary of your answers. You can review your questions in three (3) different ways.

    The buttons in the lower right-hand corner correspond to these choices:

    1. Review all of your questions and answers.
    2. Review questions that are incomplete.
    3. Review questions that are flagged for review. (Click the 'flag' icon to change the flag for review status.)

    You may also click on a question number to link directly to its location in the exam.

    QR Tutorial 15 edition Section

    Final Answer Review Screen

    Instructions

    This review section allows you to view the answers you made and see whether they were correct or not. Each question accessed from this screen has an 'Explain Answer' button in the top left hand side. By clicking on this you will obtain an explanation as to the correct answer.

    At the bottom of this screen you can choose to 'Review All' answers, 'Review Incorrect' answers or 'Review Flagged' answers. Alternatively you can go to specific questions by opening up any of the sub-tests below.

    QR Tutorial 15 edition Section

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