At 09 10, Abi left Town X and cycled towards Town Y. Emily left Town X and cycled towards Town Y at 09 40. Emily's cycling speed was 8 km/h faster than Abi. At 11 10, Emily caught up with Abi. Find the cycling speed of each cyclist.
- Abi
- Emily
(a)
Duration that Emily cycled from 09 40 to 11 10
= 1
3060 = 1
12 h
Distance that Emily cycled more than Abi
= 1
12 x 8
= 12 km
However, since Abi left 30 minutes earlier than Emily and Emily caught up with Abi, it means that Abi has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Abi's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Emily's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
