Bobby and Sean started jogging from the same point. Sean started jogging 9 minutes earlier than Bobby. Bobby's jogging speed was 200 m/min and Sean'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 Bobby to catch up with Sean?
- What distance would Sean have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Sean |
Speed |
200 m/min |
100 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Sean covered when he jogged 9 minutes earlier
= 9 x 100
= 900 m
Distance that Bobby covered more than Sean per min
= 200 - 100
= 100 m
Time that Bobby needed to take to cover the additional 900 m
= 900 ÷ 100
= 9 min
(b)
Time that Sean would had jogged when Bobby caught up with him
= 9 + 9
= 18 min
Distance that Sean would have jogged when Bobby caught up with him
= 18 x 100
= 1800 m
Answer(s): (a) 9 min; (b) 1800 m