Andy and David started jogging from the same point. David started jogging 2 minutes earlier than Andy. Andy's jogging speed was 500 m/min and David's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Andy to catch up with David?
- What distance would David have jogged when Andy caught up with him? Express your answer in meters.
|
Andy |
David |
Speed |
500 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that David covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Andy covered more than David per min
= 500 - 300
= 200 m
Time that Andy needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that David would had jogged when Andy caught up with him
= 3 + 2
= 5 min
Distance that David would have jogged when Andy caught up with him
= 5 x 300
= 1500 m
Answer(s): (a) 3 min; (b) 1500 m