At 06 20, Hazel left Town X and cycled towards Town Y. Emily left Town X and cycled towards Town Y at 06 50. Emily's cycling speed was 2 km/h faster than Hazel. At 12 20, Emily caught up with Hazel. Find the cycling speed of each cyclist.
- Hazel
- Emily
(a)
Duration that Emily cycled from 06 50 to 12 20
= 5
3060 = 5
12 h
Distance that Emily cycled more than Hazel
= 5
12 x 2
= 11 km
However, since Hazel left 30 minutes earlier than Emily and Emily caught up with Hazel, it means that Hazel has cycled 11 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Hazel's cycling speed
= 11 ÷
12 = 11 x
21 = 22 km/h
(b)
Emily's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h
