George and Peter started jogging from the same point. Peter started jogging 10 minutes earlier than George. George's jogging speed was 300 m/min and Peter'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 George to catch up with Peter?
- What distance would Peter have jogged when George caught up with him? Express your answer in meters.
|
George |
Peter |
Speed |
300 m/min |
250 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
2500 m |
(a)
Distance that Peter covered when he jogged 10 minutes earlier
= 10 x 250
= 2500 m
Distance that George covered more than Peter per min
= 300 - 250
= 50 m
Time that George needed to take to cover the additional 2500 m
= 2500 ÷ 50
= 50 min
(b)
Time that Peter would had jogged when George caught up with him
= 50 + 10
= 60 min
Distance that Peter would have jogged when George caught up with him
= 60 x 250
= 15000 m
Answer(s): (a) 50 min; (b) 15000 m