Warren and Neave started jogging from the same point. Neave started jogging 8 minutes earlier than Warren. Warren's jogging speed was 500 m/min and Neave's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Warren to catch up with Neave?
- What distance would Neave have jogged when Warren caught up with him? Express your answer in meters.
|
Warren |
Neave |
Speed |
500 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Neave covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Warren covered more than Neave per min
= 500 - 100
= 400 m
Time that Warren needed to take to cover the additional 800 m
= 800 ÷ 400
= 2 min
(b)
Time that Neave would had jogged when Warren caught up with him
= 2 + 8
= 10 min
Distance that Neave would have jogged when Warren caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 2 min; (b) 1000 m