Vincent and Ivan started jogging from the same point. Ivan started jogging 8 minutes earlier than Vincent. Vincent's jogging speed was 400 m/min and Ivan'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 Vincent to catch up with Ivan?
- What distance would Ivan have jogged when Vincent caught up with him? Express your answer in meters.
|
Vincent |
Ivan |
Speed |
400 m/min |
200 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1600 m |
(a)
Distance that Ivan covered when he jogged 8 minutes earlier
= 8 x 200
= 1600 m
Distance that Vincent covered more than Ivan per min
= 400 - 200
= 200 m
Time that Vincent needed to take to cover the additional 1600 m
= 1600 ÷ 200
= 8 min
(b)
Time that Ivan would had jogged when Vincent caught up with him
= 8 + 8
= 16 min
Distance that Ivan would have jogged when Vincent caught up with him
= 16 x 200
= 3200 m
Answer(s): (a) 8 min; (b) 3200 m