Dylan and Fabian started jogging from the same point. Fabian started jogging 9 minutes earlier than Dylan. Dylan's jogging speed was 300 m/min and Fabian'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 Dylan to catch up with Fabian?
- What distance would Fabian have jogged when Dylan caught up with him? Express your answer in meters.
|
Dylan |
Fabian |
Speed |
300 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Fabian covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Dylan covered more than Fabian per min
= 300 - 250
= 50 m
Time that Dylan needed to take to cover the additional 2250 m
= 2250 ÷ 50
= 45 min
(b)
Time that Fabian would had jogged when Dylan caught up with him
= 45 + 9
= 54 min
Distance that Fabian would have jogged when Dylan caught up with him
= 54 x 250
= 13500 m
Answer(s): (a) 45 min; (b) 13500 m