Billy and Nick started jogging from the same point. Nick started jogging 7 minutes earlier than Billy. Billy's jogging speed was 450 m/min and Nick'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 Billy to catch up with Nick?
- What distance would Nick have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Nick |
Speed |
450 m/min |
100 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
700 m |
(a)
Distance that Nick covered when he jogged 7 minutes earlier
= 7 x 100
= 700 m
Distance that Billy covered more than Nick per min
= 450 - 100
= 350 m
Time that Billy needed to take to cover the additional 700 m
= 700 ÷ 350
= 2 min
(b)
Time that Nick would had jogged when Billy caught up with him
= 2 + 7
= 9 min
Distance that Nick would have jogged when Billy caught up with him
= 9 x 100
= 900 m
Answer(s): (a) 2 min; (b) 900 m