Glen and Xavier started jogging from the same point. Xavier started jogging 6 minutes earlier than Glen. Glen's jogging speed was 200 m/min and Xavier'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 Glen to catch up with Xavier?
- What distance would Xavier have jogged when Glen caught up with him? Express your answer in meters.
|
Glen |
Xavier |
Speed |
200 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Xavier covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that Glen covered more than Xavier per min
= 200 - 100
= 100 m
Time that Glen needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that Xavier would had jogged when Glen caught up with him
= 6 + 6
= 12 min
Distance that Xavier would have jogged when Glen caught up with him
= 12 x 100
= 1200 m
Answer(s): (a) 6 min; (b) 1200 m