Bobby and Eric started jogging from the same point. Eric started jogging 6 minutes earlier than Bobby. Bobby's jogging speed was 450 m/min and Eric's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Bobby to catch up with Eric?
- What distance would Eric have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Eric |
Speed |
450 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Eric covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that Bobby covered more than Eric per min
= 450 - 150
= 300 m
Time that Bobby needed to take to cover the additional 900 m
= 900 ÷ 300
= 3 min
(b)
Time that Eric would had jogged when Bobby caught up with him
= 3 + 6
= 9 min
Distance that Eric would have jogged when Bobby caught up with him
= 9 x 150
= 1350 m
Answer(s): (a) 3 min; (b) 1350 m