Peter and Valen started jogging from the same point. Valen started jogging 5 minutes earlier than Peter. Peter's jogging speed was 450 m/min and Valen'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 Peter to catch up with Valen?
- What distance would Valen have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
Valen |
Speed |
450 m/min |
200 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Valen covered when he jogged 5 minutes earlier
= 5 x 200
= 1000 m
Distance that Peter covered more than Valen per min
= 450 - 200
= 250 m
Time that Peter needed to take to cover the additional 1000 m
= 1000 ÷ 250
= 4 min
(b)
Time that Valen would had jogged when Peter caught up with him
= 4 + 5
= 9 min
Distance that Valen would have jogged when Peter caught up with him
= 9 x 200
= 1800 m
Answer(s): (a) 4 min; (b) 1800 m