David and Rael started jogging from the same point. Rael started jogging 9 minutes earlier than David. David's jogging speed was 400 m/min and Rael's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for David to catch up with Rael?
- What distance would Rael have jogged when David caught up with him? Express your answer in meters.
|
David |
Rael |
Speed |
400 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Rael covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that David covered more than Rael per min
= 400 - 200
= 200 m
Time that David needed to take to cover the additional 1800 m
= 1800 ÷ 200
= 9 min
(b)
Time that Rael would had jogged when David caught up with him
= 9 + 9
= 18 min
Distance that Rael would have jogged when David caught up with him
= 18 x 200
= 3600 m
Answer(s): (a) 9 min; (b) 3600 m