Cody and Michael started jogging from the same point. Michael started jogging 8 minutes earlier than Cody. Cody's jogging speed was 350 m/min and Michael'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 Cody to catch up with Michael?
- What distance would Michael have jogged when Cody caught up with him? Express your answer in meters.
|
Cody |
Michael |
Speed |
350 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Michael covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Cody covered more than Michael per min
= 350 - 150
= 200 m
Time that Cody needed to take to cover the additional 1200 m
= 1200 ÷ 200
= 6 min
(b)
Time that Michael would had jogged when Cody caught up with him
= 6 + 8
= 14 min
Distance that Michael would have jogged when Cody caught up with him
= 14 x 150
= 2100 m
Answer(s): (a) 6 min; (b) 2100 m