Dylan and Eric started jogging from the same point. Eric started jogging 4 minutes earlier than Dylan. Dylan's jogging speed was 450 m/min and Eric's jogging speed was 350 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 Eric?
- What distance would Eric have jogged when Dylan caught up with him? Express your answer in meters.
|
Dylan |
Eric |
Speed |
450 m/min |
350 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Eric covered when he jogged 4 minutes earlier
= 4 x 350
= 1400 m
Distance that Dylan covered more than Eric per min
= 450 - 350
= 100 m
Time that Dylan needed to take to cover the additional 1400 m
= 1400 ÷ 100
= 14 min
(b)
Time that Eric would had jogged when Dylan caught up with him
= 14 + 4
= 18 min
Distance that Eric would have jogged when Dylan caught up with him
= 18 x 350
= 6300 m
Answer(s): (a) 14 min; (b) 6300 m