Bobby and Tom started jogging from the same point. Tom started jogging 7 minutes earlier than Bobby. Bobby's jogging speed was 500 m/min and Tom'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 Tom?
- What distance would Tom have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Tom |
Speed |
500 m/min |
150 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Tom covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m
Distance that Bobby covered more than Tom per min
= 500 - 150
= 350 m
Time that Bobby needed to take to cover the additional 1050 m
= 1050 ÷ 350
= 3 min
(b)
Time that Tom would had jogged when Bobby caught up with him
= 3 + 7
= 10 min
Distance that Tom would have jogged when Bobby caught up with him
= 10 x 150
= 1500 m
Answer(s): (a) 3 min; (b) 1500 m