Tommy and Mark started jogging from the same point. Mark started jogging 2 minutes earlier than Tommy. Tommy's jogging speed was 500 m/min and Mark'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 Tommy to catch up with Mark?
- What distance would Mark have jogged when Tommy caught up with him? Express your answer in meters.
|
Tommy |
Mark |
Speed |
500 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Mark covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Tommy covered more than Mark per min
= 500 - 300
= 200 m
Time that Tommy needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Mark would had jogged when Tommy caught up with him
= 3 + 2
= 5 min
Distance that Mark would have jogged when Tommy caught up with him
= 5 x 300
= 1500 m
Answer(s): (a) 3 min; (b) 1500 m