Asher and Julian started jogging from the same point. Julian started jogging 8 minutes earlier than Asher. Asher's jogging speed was 450 m/min and Julian'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 Asher to catch up with Julian?
- What distance would Julian have jogged when Asher caught up with him? Express your answer in meters.
|
Asher |
Julian |
Speed |
450 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Julian covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Asher covered more than Julian per min
= 450 - 350
= 100 m
Time that Asher needed to take to cover the additional 2800 m
= 2800 ÷ 100
= 28 min
(b)
Time that Julian would had jogged when Asher caught up with him
= 28 + 8
= 36 min
Distance that Julian would have jogged when Asher caught up with him
= 36 x 350
= 12600 m
Answer(s): (a) 28 min; (b) 12600 m