Vincent and Pierre started jogging from the same point. Pierre started jogging 9 minutes earlier than Vincent. Vincent's jogging speed was 400 m/min and Pierre'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 Vincent to catch up with Pierre?
- What distance would Pierre have jogged when Vincent caught up with him? Express your answer in meters.
|
Vincent |
Pierre |
Speed |
400 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Pierre covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Vincent covered more than Pierre per min
= 400 - 250
= 150 m
Time that Vincent needed to take to cover the additional 2250 m
= 2250 ÷ 150
= 15 min
(b)
Time that Pierre would had jogged when Vincent caught up with him
= 15 + 9
= 24 min
Distance that Pierre would have jogged when Vincent caught up with him
= 24 x 250
= 6000 m
Answer(s): (a) 15 min; (b) 6000 m