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 100 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 |
100 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Pierre covered when he jogged 9 minutes earlier
= 9 x 100
= 900 m
Distance that Vincent covered more than Pierre per min
= 400 - 100
= 300 m
Time that Vincent needed to take to cover the additional 900 m
= 900 ÷ 300
= 3 min
(b)
Time that Pierre would had jogged when Vincent caught up with him
= 3 + 9
= 12 min
Distance that Pierre would have jogged when Vincent caught up with him
= 12 x 100
= 1200 m
Answer(s): (a) 3 min; (b) 1200 m