Tommy and Eric started jogging from the same point. Eric started jogging 4 minutes earlier than Tommy. Tommy's jogging speed was 450 m/min and Eric'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 Eric?
- What distance would Eric have jogged when Tommy caught up with him? Express your answer in meters.
|
Tommy |
Eric |
Speed |
450 m/min |
300 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Eric covered when he jogged 4 minutes earlier
= 4 x 300
= 1200 m
Distance that Tommy covered more than Eric per min
= 450 - 300
= 150 m
Time that Tommy needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Eric would had jogged when Tommy caught up with him
= 8 + 4
= 12 min
Distance that Eric would have jogged when Tommy caught up with him
= 12 x 300
= 3600 m
Answer(s): (a) 8 min; (b) 3600 m