At 07 10, Betty left Town N and cycled towards Town P. Julie left Town N and cycled towards Town P at 07 50. Julie's cycling speed was 3 km/h faster than Betty. At 11 10, Julie caught up with Betty. Find the cycling speed of each cyclist.
- Betty
- Julie
(a)
Duration that Julie cycled from 07 50 to 11 10
= 3
2060 = 3
13 h
Distance that Julie cycled more than Betty
= 3
13 x 3
= 10 km
However, since Betty left 40 minutes earlier than Julie and Julie caught up with Betty, it means that Betty has cycled 10 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Betty's cycling speed
= 10 ÷
23 = 10 x
32 = 15 km/h
(b)
Julie's cycling speed
= 15 + 3
= 18 km/h
Answer(s): (a) 15 km/h ; (b) 18 km/h