Zane and Valen started jogging from the same point. Valen started jogging 9 minutes earlier than Zane. Zane's jogging speed was 400 m/min and Valen's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Zane to catch up with Valen?
- What distance would Valen have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Valen |
Speed |
400 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Valen covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Zane covered more than Valen per min
= 400 - 250
= 150 m
Time that Zane needed to take to cover the additional 2250 m
= 2250 ÷ 150
= 15 min
(b)
Time that Valen would had jogged when Zane caught up with him
= 15 + 9
= 24 min
Distance that Valen would have jogged when Zane caught up with him
= 24 x 250
= 6000 m
Answer(s): (a) 15 min; (b) 6000 m