Perry and Fred started jogging from the same point. Fred started jogging 10 minutes earlier than Perry. Perry's jogging speed was 300 m/min and Fred's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Perry to catch up with Fred?
- What distance would Fred have jogged when Perry caught up with him? Express your answer in meters.
|
Perry |
Fred |
Speed |
300 m/min |
100 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Fred covered when he jogged 10 minutes earlier
= 10 x 100
= 1000 m
Distance that Perry covered more than Fred per min
= 300 - 100
= 200 m
Time that Perry needed to take to cover the additional 1000 m
= 1000 ÷ 200
= 5 min
(b)
Time that Fred would had jogged when Perry caught up with him
= 5 + 10
= 15 min
Distance that Fred would have jogged when Perry caught up with him
= 15 x 100
= 1500 m
Answer(s): (a) 5 min; (b) 1500 m