Will and Paul started jogging from the same point. Paul started jogging 6 minutes earlier than Will. Will's jogging speed was 350 m/min and Paul's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Will to catch up with Paul?
- What distance would Paul have jogged when Will caught up with him? Express your answer in meters.
|
Will |
Paul |
Speed |
350 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Paul covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Will covered more than Paul per min
= 350 - 250
= 100 m
Time that Will needed to take to cover the additional 1500 m
= 1500 ÷ 100
= 15 min
(b)
Time that Paul would had jogged when Will caught up with him
= 15 + 6
= 21 min
Distance that Paul would have jogged when Will caught up with him
= 21 x 250
= 5250 m
Answer(s): (a) 15 min; (b) 5250 m