Howard and George started jogging from the same point. George started jogging 8 minutes earlier than Howard. Howard's jogging speed was 250 m/min and George's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Howard to catch up with George?
- What distance would George have jogged when Howard caught up with him? Express your answer in meters.
|
Howard |
George |
Speed |
250 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that George covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Howard covered more than George per min
= 250 - 150
= 100 m
Time that Howard needed to take to cover the additional 1200 m
= 1200 ÷ 100
= 12 min
(b)
Time that George would had jogged when Howard caught up with him
= 12 + 8
= 20 min
Distance that George would have jogged when Howard caught up with him
= 20 x 150
= 3000 m
Answer(s): (a) 12 min; (b) 3000 m