Jack and Tommy started jogging from the same point. Tommy started jogging 6 minutes earlier than Jack. Jack's jogging speed was 400 m/min and Tommy'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 Jack to catch up with Tommy?
- What distance would Tommy have jogged when Jack caught up with him? Express your answer in meters.
|
Jack |
Tommy |
Speed |
400 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Tommy covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that Jack covered more than Tommy per min
= 400 - 100
= 300 m
Time that Jack needed to take to cover the additional 600 m
= 600 ÷ 300
= 2 min
(b)
Time that Tommy would had jogged when Jack caught up with him
= 2 + 6
= 8 min
Distance that Tommy would have jogged when Jack caught up with him
= 8 x 100
= 800 m
Answer(s): (a) 2 min; (b) 800 m