Gabriel and Neave started jogging from the same point. Neave started jogging 8 minutes earlier than Gabriel. Gabriel's jogging speed was 500 m/min and Neave's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Gabriel to catch up with Neave?
- What distance would Neave have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Neave |
Speed |
500 m/min |
250 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2000 m |
(a)
Distance that Neave covered when he jogged 8 minutes earlier
= 8 x 250
= 2000 m
Distance that Gabriel covered more than Neave per min
= 500 - 250
= 250 m
Time that Gabriel needed to take to cover the additional 2000 m
= 2000 ÷ 250
= 8 min
(b)
Time that Neave would had jogged when Gabriel caught up with him
= 8 + 8
= 16 min
Distance that Neave would have jogged when Gabriel caught up with him
= 16 x 250
= 4000 m
Answer(s): (a) 8 min; (b) 4000 m