Fabian and Julian started jogging from the same point. Julian started jogging 7 minutes earlier than Fabian. Fabian's jogging speed was 200 m/min and Julian's jogging speed was 150 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 |
200 m/min |
150 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Julian covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m
Distance that Fabian covered more than Julian per min
= 200 - 150
= 50 m
Time that Fabian needed to take to cover the additional 1050 m
= 1050 ÷ 50
= 21 min
(b)
Time that Julian would had jogged when Fabian caught up with him
= 21 + 7
= 28 min
Distance that Julian would have jogged when Fabian caught up with him
= 28 x 150
= 4200 m
Answer(s): (a) 21 min; (b) 4200 m