Glen and Vincent started jogging from the same point. Vincent started jogging 5 minutes earlier than Glen. Glen's jogging speed was 400 m/min and Vincent'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 Glen to catch up with Vincent?
- What distance would Vincent have jogged when Glen caught up with him? Express your answer in meters.
|
Glen |
Vincent |
Speed |
400 m/min |
350 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1750 m |
(a)
Distance that Vincent covered when he jogged 5 minutes earlier
= 5 x 350
= 1750 m
Distance that Glen covered more than Vincent per min
= 400 - 350
= 50 m
Time that Glen needed to take to cover the additional 1750 m
= 1750 ÷ 50
= 35 min
(b)
Time that Vincent would had jogged when Glen caught up with him
= 35 + 5
= 40 min
Distance that Vincent would have jogged when Glen caught up with him
= 40 x 350
= 14000 m
Answer(s): (a) 35 min; (b) 14000 m