Fabian and Sam started jogging from the same point. Sam started jogging 9 minutes earlier than Fabian. Fabian's jogging speed was 300 m/min and Sam's jogging speed was 200 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 Sam?
- What distance would Sam have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Sam |
Speed |
300 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Sam covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that Fabian covered more than Sam per min
= 300 - 200
= 100 m
Time that Fabian needed to take to cover the additional 1800 m
= 1800 ÷ 100
= 18 min
(b)
Time that Sam would had jogged when Fabian caught up with him
= 18 + 9
= 27 min
Distance that Sam would have jogged when Fabian caught up with him
= 27 x 200
= 5400 m
Answer(s): (a) 18 min; (b) 5400 m