Jenson and Ivan started jogging from the same point. Ivan started jogging 8 minutes earlier than Jenson. Jenson's jogging speed was 200 m/min and Ivan'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 Jenson to catch up with Ivan?
- What distance would Ivan have jogged when Jenson caught up with him? Express your answer in meters.
|
Jenson |
Ivan |
Speed |
200 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Ivan covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Jenson covered more than Ivan per min
= 200 - 100
= 100 m
Time that Jenson needed to take to cover the additional 800 m
= 800 ÷ 100
= 8 min
(b)
Time that Ivan would had jogged when Jenson caught up with him
= 8 + 8
= 16 min
Distance that Ivan would have jogged when Jenson caught up with him
= 16 x 100
= 1600 m
Answer(s): (a) 8 min; (b) 1600 m