Dylan and Vincent started jogging from the same point. Vincent started jogging 6 minutes earlier than Dylan. Dylan's jogging speed was 250 m/min and Vincent's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Dylan to catch up with Vincent?
- What distance would Vincent have jogged when Dylan caught up with him? Express your answer in meters.
|
Dylan |
Vincent |
Speed |
250 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Vincent covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that Dylan covered more than Vincent per min
= 250 - 100
= 150 m
Time that Dylan needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that Vincent would had jogged when Dylan caught up with him
= 4 + 6
= 10 min
Distance that Vincent would have jogged when Dylan caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 4 min; (b) 1000 m