Eric and Sam started jogging from the same point. Sam started jogging 3 minutes earlier than Eric. Eric's jogging speed was 500 m/min and Sam'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 Eric to catch up with Sam?
- What distance would Sam have jogged when Eric caught up with him? Express your answer in meters.
|
Eric |
Sam |
Speed |
500 m/min |
350 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Sam covered when he jogged 3 minutes earlier
= 3 x 350
= 1050 m
Distance that Eric covered more than Sam per min
= 500 - 350
= 150 m
Time that Eric needed to take to cover the additional 1050 m
= 1050 ÷ 150
= 7 min
(b)
Time that Sam would had jogged when Eric caught up with him
= 7 + 3
= 10 min
Distance that Sam would have jogged when Eric caught up with him
= 10 x 350
= 3500 m
Answer(s): (a) 7 min; (b) 3500 m