At 05 25, Usha left Town H and cycled towards Town J. Nicole left Town H and cycled towards Town J at 05 55. Nicole's cycling speed was 2 km/h faster than Usha. At 15 25, Nicole caught up with Usha. Find the cycling speed of each cyclist.
- Usha
- Nicole
(a)
Duration that Nicole cycled from 05 55 to 15 25
= 9
3060 = 9
12 h
Distance that Nicole cycled more than Usha
= 9
12 x 2
= 19 km
However, since Usha left 30 minutes earlier than Nicole and Nicole caught up with Usha, it means that Usha has cycled 19 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Usha's cycling speed
= 19 ÷
12 = 19 x
21 = 38 km/h
(b)
Nicole's cycling speed
= 38 + 2
= 40 km/h
Answer(s): (a) 38 km/h ; (b) 40 km/h