Billy and Dylan started jogging from the same point. Dylan started jogging 6 minutes earlier than Billy. Billy's jogging speed was 500 m/min and Dylan's jogging speed was 350 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 Dylan?
- What distance would Dylan have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Dylan |
Speed |
500 m/min |
350 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Dylan covered when he jogged 6 minutes earlier
= 6 x 350
= 2100 m
Distance that Billy covered more than Dylan per min
= 500 - 350
= 150 m
Time that Billy needed to take to cover the additional 2100 m
= 2100 ÷ 150
= 14 min
(b)
Time that Dylan would had jogged when Billy caught up with him
= 14 + 6
= 20 min
Distance that Dylan would have jogged when Billy caught up with him
= 20 x 350
= 7000 m
Answer(s): (a) 14 min; (b) 7000 m