Japheth and Daniel started jogging from the same point. Daniel started jogging 10 minutes earlier than Japheth. Japheth's jogging speed was 200 m/min and Daniel'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 Japheth to catch up with Daniel?
- What distance would Daniel have jogged when Japheth caught up with him? Express your answer in meters.
|
Japheth |
Daniel |
Speed |
200 m/min |
100 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Daniel covered when he jogged 10 minutes earlier
= 10 x 100
= 1000 m
Distance that Japheth covered more than Daniel per min
= 200 - 100
= 100 m
Time that Japheth needed to take to cover the additional 1000 m
= 1000 ÷ 100
= 10 min
(b)
Time that Daniel would had jogged when Japheth caught up with him
= 10 + 10
= 20 min
Distance that Daniel would have jogged when Japheth caught up with him
= 20 x 100
= 2000 m
Answer(s): (a) 10 min; (b) 2000 m