David and Cole started jogging from the same point. Cole started jogging 5 minutes earlier than David. David's jogging speed was 400 m/min and Cole's jogging speed was 300 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 Cole?
- What distance would Cole have jogged when David caught up with him? Express your answer in meters.
|
David |
Cole |
Speed |
400 m/min |
300 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Cole covered when he jogged 5 minutes earlier
= 5 x 300
= 1500 m
Distance that David covered more than Cole per min
= 400 - 300
= 100 m
Time that David needed to take to cover the additional 1500 m
= 1500 ÷ 100
= 15 min
(b)
Time that Cole would had jogged when David caught up with him
= 15 + 5
= 20 min
Distance that Cole would have jogged when David caught up with him
= 20 x 300
= 6000 m
Answer(s): (a) 15 min; (b) 6000 m