Lee and Julian started jogging from the same point. Julian started jogging 10 minutes earlier than Lee. Lee's jogging speed was 500 m/min and Julian'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 Lee to catch up with Julian?
- What distance would Julian have jogged when Lee caught up with him? Express your answer in meters.
|
Lee |
Julian |
Speed |
500 m/min |
250 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
2500 m |
(a)
Distance that Julian covered when he jogged 10 minutes earlier
= 10 x 250
= 2500 m
Distance that Lee covered more than Julian per min
= 500 - 250
= 250 m
Time that Lee needed to take to cover the additional 2500 m
= 2500 ÷ 250
= 10 min
(b)
Time that Julian would had jogged when Lee caught up with him
= 10 + 10
= 20 min
Distance that Julian would have jogged when Lee caught up with him
= 20 x 250
= 5000 m
Answer(s): (a) 10 min; (b) 5000 m