Distance-time graphs
3 marks · EasyA runner jogs at an average speed of 2.4 m/s for 45 seconds.
Calculate the distance run by the runner.
How long (in minutes and seconds) would it take the runner to complete a 600 m run at the same average speed? Show your working.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 108 m
(b) 4 min 10 s
Also accept: seconds only for part b
Common mistakes: Not converting units; Mixing up time and distance formulae
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Substitutes into s = v × t using 2.4 and 45.
A1 (a) · 1 mark · Correct calculation: 2.4 × 45 = 108 m.
M1 (b) · 1 mark · Uses t = s / v for part b; arrives at 250 s or correctly converts to 4 min 10 s.
Worked solution
a) distance = speed × time = 2.4 × 45 = 108 m
b) time = distance / speed = 600 / 2.4 = 250 s, which is 4 minutes 10 seconds.