Perry and Dylan started jogging from the same point. Dylan started jogging 8 minutes earlier than Perry. Perry's jogging speed was 400 m/min and Dylan'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 Perry to catch up with Dylan?
- What distance would Dylan have jogged when Perry caught up with him? Express your answer in meters.
|
Perry |
Dylan |
Speed |
400 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Dylan covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Perry covered more than Dylan per min
= 400 - 350
= 50 m
Time that Perry needed to take to cover the additional 2800 m
= 2800 ÷ 50
= 56 min
(b)
Time that Dylan would had jogged when Perry caught up with him
= 56 + 8
= 64 min
Distance that Dylan would have jogged when Perry caught up with him
= 64 x 350
= 22400 m
Answer(s): (a) 56 min; (b) 22400 m