Perry and Ben started jogging from the same point. Ben started jogging 4 minutes earlier than Perry. Perry's jogging speed was 400 m/min and Ben'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 Perry to catch up with Ben?
- What distance would Ben have jogged when Perry caught up with him? Express your answer in meters.
|
Perry |
Ben |
Speed |
400 m/min |
200 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Ben covered when he jogged 4 minutes earlier
= 4 x 200
= 800 m
Distance that Perry covered more than Ben per min
= 400 - 200
= 200 m
Time that Perry needed to take to cover the additional 800 m
= 800 ÷ 200
= 4 min
(b)
Time that Ben would had jogged when Perry caught up with him
= 4 + 4
= 8 min
Distance that Ben would have jogged when Perry caught up with him
= 8 x 200
= 1600 m
Answer(s): (a) 4 min; (b) 1600 m