Zeph and Bobby started jogging from the same point. Bobby started jogging 5 minutes earlier than Zeph. Zeph's jogging speed was 300 m/min and Bobby'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 Zeph to catch up with Bobby?
- What distance would Bobby have jogged when Zeph caught up with him? Express your answer in meters.
|
Zeph |
Bobby |
Speed |
300 m/min |
200 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Bobby covered when he jogged 5 minutes earlier
= 5 x 200
= 1000 m
Distance that Zeph covered more than Bobby per min
= 300 - 200
= 100 m
Time that Zeph needed to take to cover the additional 1000 m
= 1000 ÷ 100
= 10 min
(b)
Time that Bobby would had jogged when Zeph caught up with him
= 10 + 5
= 15 min
Distance that Bobby would have jogged when Zeph caught up with him
= 15 x 200
= 3000 m
Answer(s): (a) 10 min; (b) 3000 m