At 09 10, Usha left Town N and cycled towards Town P. Fiona left Town N and cycled towards Town P at 09 40. Fiona's cycling speed was 4 km/h faster than Usha. At 14 10, Fiona caught up with Usha. Find the cycling speed of each cyclist.
- Usha
- Fiona
(a)
Duration that Fiona cycled from 09 40 to 14 10
= 4
3060 = 4
12 h
Distance that Fiona cycled more than Usha
= 4
12 x 4
= 18 km
However, since Usha left 30 minutes earlier than Fiona and Fiona caught up with Usha, it means that Usha has cycled 18 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Usha's cycling speed
= 18 ÷
12 = 18 x
21 = 36 km/h
(b)
Fiona's cycling speed
= 36 + 4
= 40 km/h
Answer(s): (a) 36 km/h ; (b) 40 km/h