Ryan and Fabian started jogging from the same point. Fabian started jogging 6 minutes earlier than Ryan. Ryan's jogging speed was 350 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 Ryan to catch up with Fabian?
- What distance would Fabian have jogged when Ryan caught up with him? Express your answer in meters.
|
Ryan |
Fabian |
Speed |
350 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Fabian covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Ryan covered more than Fabian per min
= 350 - 250
= 100 m
Time that Ryan needed to take to cover the additional 1500 m
= 1500 ÷ 100
= 15 min
(b)
Time that Fabian would had jogged when Ryan caught up with him
= 15 + 6
= 21 min
Distance that Fabian would have jogged when Ryan caught up with him
= 21 x 250
= 5250 m
Answer(s): (a) 15 min; (b) 5250 m