Howard and Zane started jogging from the same point. Zane started jogging 7 minutes earlier than Howard. Howard's jogging speed was 450 m/min and Zane'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 Howard to catch up with Zane?
- What distance would Zane have jogged when Howard caught up with him? Express your answer in meters.
|
Howard |
Zane |
Speed |
450 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Zane covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Howard covered more than Zane per min
= 450 - 300
= 150 m
Time that Howard needed to take to cover the additional 2100 m
= 2100 ÷ 150
= 14 min
(b)
Time that Zane would had jogged when Howard caught up with him
= 14 + 7
= 21 min
Distance that Zane would have jogged when Howard caught up with him
= 21 x 300
= 6300 m
Answer(s): (a) 14 min; (b) 6300 m