Pierre and Bryan started jogging from the same point. Bryan started jogging 6 minutes earlier than Pierre. Pierre's jogging speed was 500 m/min and Bryan'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 Pierre to catch up with Bryan?
- What distance would Bryan have jogged when Pierre caught up with him? Express your answer in meters.
|
Pierre |
Bryan |
Speed |
500 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Bryan covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Pierre covered more than Bryan per min
= 500 - 200
= 300 m
Time that Pierre needed to take to cover the additional 1200 m
= 1200 ÷ 300
= 4 min
(b)
Time that Bryan would had jogged when Pierre caught up with him
= 4 + 6
= 10 min
Distance that Bryan would have jogged when Pierre caught up with him
= 10 x 200
= 2000 m
Answer(s): (a) 4 min; (b) 2000 m