Asher and Tommy started jogging from the same point. Tommy started jogging 4 minutes earlier than Asher. Asher's jogging speed was 500 m/min and Tommy'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 Asher to catch up with Tommy?
- What distance would Tommy have jogged when Asher caught up with him? Express your answer in meters.
|
Asher |
Tommy |
Speed |
500 m/min |
100 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Tommy covered when he jogged 4 minutes earlier
= 4 x 100
= 400 m
Distance that Asher covered more than Tommy per min
= 500 - 100
= 400 m
Time that Asher needed to take to cover the additional 400 m
= 400 ÷ 400
= 1 min
(b)
Time that Tommy would had jogged when Asher caught up with him
= 1 + 4
= 5 min
Distance that Tommy would have jogged when Asher caught up with him
= 5 x 100
= 500 m
Answer(s): (a) 1 min; (b) 500 m