Fabian and Julian started jogging from the same point. Julian started jogging 5 minutes earlier than Fabian. Fabian'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 Fabian to catch up with Julian?
- What distance would Julian have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Julian |
Speed |
500 m/min |
250 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1250 m |
(a)
Distance that Julian covered when he jogged 5 minutes earlier
= 5 x 250
= 1250 m
Distance that Fabian covered more than Julian per min
= 500 - 250
= 250 m
Time that Fabian needed to take to cover the additional 1250 m
= 1250 ÷ 250
= 5 min
(b)
Time that Julian would had jogged when Fabian caught up with him
= 5 + 5
= 10 min
Distance that Julian would have jogged when Fabian caught up with him
= 10 x 250
= 2500 m
Answer(s): (a) 5 min; (b) 2500 m