Japheth and David started jogging from the same point. David started jogging 8 minutes earlier than Japheth. Japheth's jogging speed was 300 m/min and David's jogging speed was 150 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 David?
- What distance would David have jogged when Japheth caught up with him? Express your answer in meters.
|
Japheth |
David |
Speed |
300 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that David covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Japheth covered more than David per min
= 300 - 150
= 150 m
Time that Japheth needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that David would had jogged when Japheth caught up with him
= 8 + 8
= 16 min
Distance that David would have jogged when Japheth caught up with him
= 16 x 150
= 2400 m
Answer(s): (a) 8 min; (b) 2400 m