Howard and Ivan started jogging from the same point. Ivan started jogging 10 minutes earlier than Howard. Howard's jogging speed was 400 m/min and Ivan's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Howard to catch up with Ivan?
- What distance would Ivan have jogged when Howard caught up with him? Express your answer in meters.
|
Howard |
Ivan |
Speed |
400 m/min |
350 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3500 m |
(a)
Distance that Ivan covered when he jogged 10 minutes earlier
= 10 x 350
= 3500 m
Distance that Howard covered more than Ivan per min
= 400 - 350
= 50 m
Time that Howard needed to take to cover the additional 3500 m
= 3500 ÷ 50
= 70 min
(b)
Time that Ivan would had jogged when Howard caught up with him
= 70 + 10
= 80 min
Distance that Ivan would have jogged when Howard caught up with him
= 80 x 350
= 28000 m
Answer(s): (a) 70 min; (b) 28000 m