Japheth and Vaidev started jogging from the same point. Vaidev started jogging 4 minutes earlier than Japheth. Japheth's jogging speed was 450 m/min and Vaidev'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 Japheth to catch up with Vaidev?
- What distance would Vaidev have jogged when Japheth caught up with him? Express your answer in meters.
|
Japheth |
Vaidev |
Speed |
450 m/min |
250 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Vaidev covered when he jogged 4 minutes earlier
= 4 x 250
= 1000 m
Distance that Japheth covered more than Vaidev per min
= 450 - 250
= 200 m
Time that Japheth needed to take to cover the additional 1000 m
= 1000 ÷ 200
= 5 min
(b)
Time that Vaidev would had jogged when Japheth caught up with him
= 5 + 4
= 9 min
Distance that Vaidev would have jogged when Japheth caught up with him
= 9 x 250
= 2250 m
Answer(s): (a) 5 min; (b) 2250 m