Billy and Ryan started jogging from the same point. Ryan started jogging 4 minutes earlier than Billy. Billy's jogging speed was 300 m/min and Ryan'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 Billy to catch up with Ryan?
- What distance would Ryan have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Ryan |
Speed |
300 m/min |
100 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Ryan covered when he jogged 4 minutes earlier
= 4 x 100
= 400 m
Distance that Billy covered more than Ryan per min
= 300 - 100
= 200 m
Time that Billy needed to take to cover the additional 400 m
= 400 ÷ 200
= 2 min
(b)
Time that Ryan would had jogged when Billy caught up with him
= 2 + 4
= 6 min
Distance that Ryan would have jogged when Billy caught up with him
= 6 x 100
= 600 m
Answer(s): (a) 2 min; (b) 600 m