Gabriel and Sam started jogging from the same point. Sam started jogging 5 minutes earlier than Gabriel. Gabriel's jogging speed was 500 m/min and Sam'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 Sam?
- What distance would Sam have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Sam |
Speed |
500 m/min |
250 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1250 m |
(a)
Distance that Sam covered when he jogged 5 minutes earlier
= 5 x 250
= 1250 m
Distance that Gabriel covered more than Sam per min
= 500 - 250
= 250 m
Time that Gabriel needed to take to cover the additional 1250 m
= 1250 ÷ 250
= 5 min
(b)
Time that Sam would had jogged when Gabriel caught up with him
= 5 + 5
= 10 min
Distance that Sam would have jogged when Gabriel caught up with him
= 10 x 250
= 2500 m
Answer(s): (a) 5 min; (b) 2500 m