Warren and Michael started jogging from the same point. Michael started jogging 5 minutes earlier than Warren. Warren's jogging speed was 400 m/min and Michael's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Warren to catch up with Michael?
- What distance would Michael have jogged when Warren caught up with him? Express your answer in meters.
|
Warren |
Michael |
Speed |
400 m/min |
200 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Michael covered when he jogged 5 minutes earlier
= 5 x 200
= 1000 m
Distance that Warren covered more than Michael per min
= 400 - 200
= 200 m
Time that Warren needed to take to cover the additional 1000 m
= 1000 ÷ 200
= 5 min
(b)
Time that Michael would had jogged when Warren caught up with him
= 5 + 5
= 10 min
Distance that Michael would have jogged when Warren caught up with him
= 10 x 200
= 2000 m
Answer(s): (a) 5 min; (b) 2000 m