Neave and Tommy started jogging from the same point. Tommy started jogging 4 minutes earlier than Neave. Neave's jogging speed was 250 m/min and Tommy's jogging speed was 200 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 Tommy?
- What distance would Tommy have jogged when Neave caught up with him? Express your answer in meters.
|
Neave |
Tommy |
Speed |
250 m/min |
200 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Tommy covered when he jogged 4 minutes earlier
= 4 x 200
= 800 m
Distance that Neave covered more than Tommy per min
= 250 - 200
= 50 m
Time that Neave needed to take to cover the additional 800 m
= 800 ÷ 50
= 16 min
(b)
Time that Tommy would had jogged when Neave caught up with him
= 16 + 4
= 20 min
Distance that Tommy would have jogged when Neave caught up with him
= 20 x 200
= 4000 m
Answer(s): (a) 16 min; (b) 4000 m