At 09 10, Kylie left Town V and cycled towards Town W. Cathy left Town V and cycled towards Town W at 09 55. Cathy's cycling speed was 8 km/h faster than Kylie. At 12 10, Cathy caught up with Kylie. Find the cycling speed of each cyclist.
- Kylie
- Cathy
(a)
Duration that Cathy cycled from 09 55 to 12 10
= 2
1560 = 2
14 h
Distance that Cathy cycled more than Kylie
= 2
14 x 8
= 18 km
However, since Kylie left 45 minutes earlier than Cathy and Cathy caught up with Kylie, it means that Kylie has cycled 18 km in 45 min.
1 h = 60 min
45 min = 45 ÷ 60 =
34 h
Kylie's cycling speed
= 18 ÷
34 = 18 x
43 = 24 km/h
(b)
Cathy's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
