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