Ben and Ian started jogging from the same point. Ian started jogging 9 minutes earlier than Ben. Ben's jogging speed was 300 m/min and Ian's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Ben to catch up with Ian?
- What distance would Ian have jogged when Ben caught up with him? Express your answer in meters.
|
Ben |
Ian |
Speed |
300 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Ian covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Ben covered more than Ian per min
= 300 - 250
= 50 m
Time that Ben needed to take to cover the additional 2250 m
= 2250 ÷ 50
= 45 min
(b)
Time that Ian would had jogged when Ben caught up with him
= 45 + 9
= 54 min
Distance that Ian would have jogged when Ben caught up with him
= 54 x 250
= 13500 m
Answer(s): (a) 45 min; (b) 13500 m