At 09 25, Abi left Town J and cycled towards Town K. Nicole left Town J and cycled towards Town K at 09 55. Nicole's cycling speed was 4 km/h faster than Abi. At 11 25, Nicole caught up with Abi. Find the cycling speed of each cyclist.
- Abi
- Nicole
(a)
Duration that Nicole cycled from 09 55 to 11 25
= 1
3060 = 1
12 h
Distance that Nicole cycled more than Abi
= 1
12 x 4
= 6 km
However, since Abi left 30 minutes earlier than Nicole and Nicole caught up with Abi, it means that Abi has cycled 6 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Abi's cycling speed
= 6 ÷
12 = 6 x
21 = 12 km/h
(b)
Nicole's cycling speed
= 12 + 4
= 16 km/h
Answer(s): (a) 12 km/h ; (b) 16 km/h
