At 06 10, Fiona left Town R and cycled towards Town S. Risa left Town R and cycled towards Town S at 06 40. Risa's cycling speed was 2 km/h faster than Fiona. At 11 10, Risa caught up with Fiona. Find the cycling speed of each cyclist.
- Fiona
- Risa
(a)
Duration that Risa cycled from 06 40 to 11 10
= 4
3060 = 4
12 h
Distance that Risa cycled more than Fiona
= 4
12 x 2
= 9 km
However, since Fiona left 30 minutes earlier than Risa and Risa caught up with Fiona, it means that Fiona has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Fiona's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Risa's cycling speed
= 18 + 2
= 20 km/h
Answer(s): (a) 18 km/h ; (b) 20 km/h