Ian and Seth started jogging from the same point. Seth started jogging 10 minutes earlier than Ian. Ian's jogging speed was 400 m/min and Seth's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Ian to catch up with Seth?
- What distance would Seth have jogged when Ian caught up with him? Express your answer in meters.
|
Ian |
Seth |
Speed |
400 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Seth covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Ian covered more than Seth per min
= 400 - 150
= 250 m
Time that Ian needed to take to cover the additional 1500 m
= 1500 ÷ 250
= 6 min
(b)
Time that Seth would had jogged when Ian caught up with him
= 6 + 10
= 16 min
Distance that Seth would have jogged when Ian caught up with him
= 16 x 150
= 2400 m
Answer(s): (a) 6 min; (b) 2400 m