At 09 10, Fiona left Town Z and cycled towards Town A. Risa left Town Z and cycled towards Town A at 09 40. Risa's cycling speed was 4 km/h faster than Fiona. At 13 10, Risa caught up with Fiona. Find the cycling speed of each cyclist.
- Fiona
- Risa
(a)
Duration that Risa cycled from 09 40 to 13 10
= 3
3060 = 3
12 h
Distance that Risa cycled more than Fiona
= 3
12 x 4
= 14 km
However, since Fiona left 30 minutes earlier than Risa and Risa caught up with Fiona, it means that Fiona has cycled 14 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Fiona's cycling speed
= 14 ÷
12 = 14 x
21 = 28 km/h
(b)
Risa's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h
