Simon and Vaidev started jogging from the same point. Vaidev started jogging 8 minutes earlier than Simon. Simon's jogging speed was 500 m/min and Vaidev'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 Simon to catch up with Vaidev?
- What distance would Vaidev have jogged when Simon caught up with him? Express your answer in meters.
|
Simon |
Vaidev |
Speed |
500 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Vaidev covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Simon covered more than Vaidev per min
= 500 - 100
= 400 m
Time that Simon needed to take to cover the additional 800 m
= 800 ÷ 400
= 2 min
(b)
Time that Vaidev would had jogged when Simon caught up with him
= 2 + 8
= 10 min
Distance that Vaidev would have jogged when Simon caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 2 min; (b) 1000 m