Justin and Albert started jogging from the same point. Albert started jogging 4 minutes earlier than Justin. Justin's jogging speed was 300 m/min and Albert's jogging speed was 200 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 Albert?
- What distance would Albert have jogged when Justin caught up with him? Express your answer in meters.
|
Justin |
Albert |
Speed |
300 m/min |
200 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Albert covered when he jogged 4 minutes earlier
= 4 x 200
= 800 m
Distance that Justin covered more than Albert per min
= 300 - 200
= 100 m
Time that Justin needed to take to cover the additional 800 m
= 800 ÷ 100
= 8 min
(b)
Time that Albert would had jogged when Justin caught up with him
= 8 + 4
= 12 min
Distance that Albert would have jogged when Justin caught up with him
= 12 x 200
= 2400 m
Answer(s): (a) 8 min; (b) 2400 m