Billy and Glen started jogging from the same point. Glen started jogging 4 minutes earlier than Billy. Billy's jogging speed was 300 m/min and Glen'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 Billy to catch up with Glen?
- What distance would Glen have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Glen |
Speed |
300 m/min |
250 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Glen covered when he jogged 4 minutes earlier
= 4 x 250
= 1000 m
Distance that Billy covered more than Glen per min
= 300 - 250
= 50 m
Time that Billy needed to take to cover the additional 1000 m
= 1000 ÷ 50
= 20 min
(b)
Time that Glen would had jogged when Billy caught up with him
= 20 + 4
= 24 min
Distance that Glen would have jogged when Billy caught up with him
= 24 x 250
= 6000 m
Answer(s): (a) 20 min; (b) 6000 m