Japheth and Peter started jogging from the same point. Peter started jogging 5 minutes earlier than Japheth. Japheth's jogging speed was 200 m/min and Peter'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 Japheth to catch up with Peter?
- What distance would Peter have jogged when Japheth caught up with him? Express your answer in meters.
|
Japheth |
Peter |
Speed |
200 m/min |
150 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
750 m |
(a)
Distance that Peter covered when he jogged 5 minutes earlier
= 5 x 150
= 750 m
Distance that Japheth covered more than Peter per min
= 200 - 150
= 50 m
Time that Japheth needed to take to cover the additional 750 m
= 750 ÷ 50
= 15 min
(b)
Time that Peter would had jogged when Japheth caught up with him
= 15 + 5
= 20 min
Distance that Peter would have jogged when Japheth caught up with him
= 20 x 150
= 3000 m
Answer(s): (a) 15 min; (b) 3000 m