Fred and Liam started jogging from the same point. Liam started jogging 6 minutes earlier than Fred. Fred's jogging speed was 500 m/min and Liam'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 Fred to catch up with Liam?
- What distance would Liam have jogged when Fred caught up with him? Express your answer in meters.
|
Fred |
Liam |
Speed |
500 m/min |
350 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Liam covered when he jogged 6 minutes earlier
= 6 x 350
= 2100 m
Distance that Fred covered more than Liam per min
= 500 - 350
= 150 m
Time that Fred needed to take to cover the additional 2100 m
= 2100 ÷ 150
= 14 min
(b)
Time that Liam would had jogged when Fred caught up with him
= 14 + 6
= 20 min
Distance that Liam would have jogged when Fred caught up with him
= 20 x 350
= 7000 m
Answer(s): (a) 14 min; (b) 7000 m