At 08 15, Abi left Town U and cycled towards Town V. Kathy left Town U and cycled towards Town V at 08 45. Kathy's cycling speed was 6 km/h faster than Abi. At 10 15, Kathy caught up with Abi. Find the cycling speed of each cyclist.
- Abi
- Kathy
(a)
Duration that Kathy cycled from 08 45 to 10 15
= 1
3060 = 1
12 h
Distance that Kathy cycled more than Abi
= 1
12 x 6
= 9 km
However, since Abi left 30 minutes earlier than Kathy and Kathy caught up with Abi, it means that Abi has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Abi's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Kathy's cycling speed
= 18 + 6
= 24 km/h
Answer(s): (a) 18 km/h ; (b) 24 km/h
