Asher and Tim started jogging from the same point. Tim started jogging 8 minutes earlier than Asher. Asher's jogging speed was 350 m/min and Tim's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Asher to catch up with Tim?
- What distance would Tim have jogged when Asher caught up with him? Express your answer in meters.
|
Asher |
Tim |
Speed |
350 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Tim covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Asher covered more than Tim per min
= 350 - 150
= 200 m
Time that Asher needed to take to cover the additional 1200 m
= 1200 ÷ 200
= 6 min
(b)
Time that Tim would had jogged when Asher caught up with him
= 6 + 8
= 14 min
Distance that Tim would have jogged when Asher caught up with him
= 14 x 150
= 2100 m
Answer(s): (a) 6 min; (b) 2100 m