Justin and Jeremy started jogging from the same point. Jeremy started jogging 10 minutes earlier than Justin. Justin's jogging speed was 450 m/min and Jeremy'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 Justin to catch up with Jeremy?
- What distance would Jeremy have jogged when Justin caught up with him? Express your answer in meters.
|
Justin |
Jeremy |
Speed |
450 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Jeremy covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Justin covered more than Jeremy per min
= 450 - 150
= 300 m
Time that Justin needed to take to cover the additional 1500 m
= 1500 ÷ 300
= 5 min
(b)
Time that Jeremy would had jogged when Justin caught up with him
= 5 + 10
= 15 min
Distance that Jeremy would have jogged when Justin caught up with him
= 15 x 150
= 2250 m
Answer(s): (a) 5 min; (b) 2250 m