Zeph and Harry started jogging from the same point. Harry started jogging 3 minutes earlier than Zeph. Zeph's jogging speed was 300 m/min and Harry'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 Zeph to catch up with Harry?
- What distance would Harry have jogged when Zeph caught up with him? Express your answer in meters.
|
Zeph |
Harry |
Speed |
300 m/min |
250 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
750 m |
(a)
Distance that Harry covered when he jogged 3 minutes earlier
= 3 x 250
= 750 m
Distance that Zeph covered more than Harry per min
= 300 - 250
= 50 m
Time that Zeph needed to take to cover the additional 750 m
= 750 ÷ 50
= 15 min
(b)
Time that Harry would had jogged when Zeph caught up with him
= 15 + 3
= 18 min
Distance that Harry would have jogged when Zeph caught up with him
= 18 x 250
= 4500 m
Answer(s): (a) 15 min; (b) 4500 m