At 08 10, Fanny left Town R and cycled towards Town S. Irene left Town R and cycled towards Town S at 08 40. Irene's cycling speed was 10 km/h faster than Fanny. At 10 10, Irene caught up with Fanny. Find the cycling speed of each cyclist.
- Fanny
- Irene
(a)
Duration that Irene cycled from 08 40 to 10 10
= 1
3060 = 1
12 h
Distance that Irene cycled more than Fanny
= 1
12 x 10
= 15 km
However, since Fanny left 30 minutes earlier than Irene and Irene caught up with Fanny, it means that Fanny has cycled 15 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Fanny's cycling speed
= 15 ÷
12 = 15 x
21 = 30 km/h
(b)
Irene's cycling speed
= 30 + 10
= 40 km/h
Answer(s): (a) 30 km/h ; (b) 40 km/h
