Jenson and Perry started jogging from the same point. Perry started jogging 3 minutes earlier than Jenson. Jenson's jogging speed was 450 m/min and Perry'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 Jenson to catch up with Perry?
- What distance would Perry have jogged when Jenson caught up with him? Express your answer in meters.
|
Jenson |
Perry |
Speed |
450 m/min |
300 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Perry covered when he jogged 3 minutes earlier
= 3 x 300
= 900 m
Distance that Jenson covered more than Perry per min
= 450 - 300
= 150 m
Time that Jenson needed to take to cover the additional 900 m
= 900 ÷ 150
= 6 min
(b)
Time that Perry would had jogged when Jenson caught up with him
= 6 + 3
= 9 min
Distance that Perry would have jogged when Jenson caught up with him
= 9 x 300
= 2700 m
Answer(s): (a) 6 min; (b) 2700 m