Fabian and Simon started jogging from the same point. Simon started jogging 3 minutes earlier than Fabian. Fabian's jogging speed was 400 m/min and Simon's jogging speed was 300 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 Simon?
- What distance would Simon have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Simon |
Speed |
400 m/min |
300 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Simon covered when he jogged 3 minutes earlier
= 3 x 300
= 900 m
Distance that Fabian covered more than Simon per min
= 400 - 300
= 100 m
Time that Fabian needed to take to cover the additional 900 m
= 900 ÷ 100
= 9 min
(b)
Time that Simon would had jogged when Fabian caught up with him
= 9 + 3
= 12 min
Distance that Simon would have jogged when Fabian caught up with him
= 12 x 300
= 3600 m
Answer(s): (a) 9 min; (b) 3600 m