Glen and Vaidev started jogging from the same point. Vaidev started jogging 10 minutes earlier than Glen. Glen's jogging speed was 500 m/min and Vaidev's jogging speed was 300 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 Vaidev?
- What distance would Vaidev have jogged when Glen caught up with him? Express your answer in meters.
|
Glen |
Vaidev |
Speed |
500 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that Vaidev covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Glen covered more than Vaidev per min
= 500 - 300
= 200 m
Time that Glen needed to take to cover the additional 3000 m
= 3000 ÷ 200
= 15 min
(b)
Time that Vaidev would had jogged when Glen caught up with him
= 15 + 10
= 25 min
Distance that Vaidev would have jogged when Glen caught up with him
= 25 x 300
= 7500 m
Answer(s): (a) 15 min; (b) 7500 m