Zane and Rael started jogging from the same point. Rael started jogging 7 minutes earlier than Zane. Zane's jogging speed was 300 m/min and Rael'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 Zane to catch up with Rael?
- What distance would Rael have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Rael |
Speed |
300 m/min |
150 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Rael covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m
Distance that Zane covered more than Rael per min
= 300 - 150
= 150 m
Time that Zane needed to take to cover the additional 1050 m
= 1050 ÷ 150
= 7 min
(b)
Time that Rael would had jogged when Zane caught up with him
= 7 + 7
= 14 min
Distance that Rael would have jogged when Zane caught up with him
= 14 x 150
= 2100 m
Answer(s): (a) 7 min; (b) 2100 m