At 08 10, Winnie left Town R and cycled towards Town S. Fanny left Town R and cycled towards Town S at 08 40. Fanny's cycling speed was 8 km/h faster than Winnie. At 10 10, Fanny caught up with Winnie. Find the cycling speed of each cyclist.
- Winnie
- Fanny
(a)
Duration that Fanny cycled from 08 40 to 10 10
= 1
3060 = 1
12 h
Distance that Fanny cycled more than Winnie
= 1
12 x 8
= 12 km
However, since Winnie left 30 minutes earlier than Fanny and Fanny caught up with Winnie, it means that Winnie has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Winnie's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Fanny's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h