At 09 15, Joelle left Town F and cycled towards Town G. Abi left Town F and cycled towards Town G at 09 45. Abi's cycling speed was 6 km/h faster than Joelle. At 11 15, Abi caught up with Joelle. Find the cycling speed of each cyclist.
- Joelle
- Abi
(a)
Duration that Abi cycled from 09 45 to 11 15
= 1
3060 = 1
12 h
Distance that Abi cycled more than Joelle
= 1
12 x 6
= 9 km
However, since Joelle left 30 minutes earlier than Abi and Abi caught up with Joelle, it means that Joelle has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Joelle's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Abi's cycling speed
= 18 + 6
= 24 km/h
Answer(s): (a) 18 km/h ; (b) 24 km/h
