Ian and Asher started jogging from the same point. Asher started jogging 9 minutes earlier than Ian. Ian's jogging speed was 300 m/min and Asher'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 Ian to catch up with Asher?
- What distance would Asher have jogged when Ian caught up with him? Express your answer in meters.
|
Ian |
Asher |
Speed |
300 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Asher covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Ian covered more than Asher per min
= 300 - 250
= 50 m
Time that Ian needed to take to cover the additional 2250 m
= 2250 ÷ 50
= 45 min
(b)
Time that Asher would had jogged when Ian caught up with him
= 45 + 9
= 54 min
Distance that Asher would have jogged when Ian caught up with him
= 54 x 250
= 13500 m
Answer(s): (a) 45 min; (b) 13500 m