Neave and Pierre started jogging from the same point. Pierre started jogging 5 minutes earlier than Neave. Neave's jogging speed was 400 m/min and Pierre'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 Neave to catch up with Pierre?
- What distance would Pierre have jogged when Neave caught up with him? Express your answer in meters.
|
Neave |
Pierre |
Speed |
400 m/min |
350 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1750 m |
(a)
Distance that Pierre covered when he jogged 5 minutes earlier
= 5 x 350
= 1750 m
Distance that Neave covered more than Pierre per min
= 400 - 350
= 50 m
Time that Neave needed to take to cover the additional 1750 m
= 1750 ÷ 50
= 35 min
(b)
Time that Pierre would had jogged when Neave caught up with him
= 35 + 5
= 40 min
Distance that Pierre would have jogged when Neave caught up with him
= 40 x 350
= 14000 m
Answer(s): (a) 35 min; (b) 14000 m