Zane and Bobby started jogging from the same point. Bobby started jogging 10 minutes earlier than Zane. Zane's jogging speed was 350 m/min and Bobby'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 Bobby?
- What distance would Bobby have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Bobby |
Speed |
350 m/min |
250 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
2500 m |
(a)
Distance that Bobby covered when he jogged 10 minutes earlier
= 10 x 250
= 2500 m
Distance that Zane covered more than Bobby per min
= 350 - 250
= 100 m
Time that Zane needed to take to cover the additional 2500 m
= 2500 ÷ 100
= 25 min
(b)
Time that Bobby would had jogged when Zane caught up with him
= 25 + 10
= 35 min
Distance that Bobby would have jogged when Zane caught up with him
= 35 x 250
= 8750 m
Answer(s): (a) 25 min; (b) 8750 m