At 09 20, Lucy left Town F and cycled towards Town G. Hazel left Town F and cycled towards Town G at 09 50. Hazel's cycling speed was 4 km/h faster than Lucy. At 11 20, Hazel caught up with Lucy. Find the cycling speed of each cyclist.
- Lucy
- Hazel
(a)
Duration that Hazel cycled from 09 50 to 11 20
= 1
3060 = 1
12 h
Distance that Hazel cycled more than Lucy
= 1
12 x 4
= 6 km
However, since Lucy left 30 minutes earlier than Hazel and Hazel caught up with Lucy, it means that Lucy has cycled 6 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Lucy's cycling speed
= 6 ÷
12 = 6 x
21 = 12 km/h
(b)
Hazel's cycling speed
= 12 + 4
= 16 km/h
Answer(s): (a) 12 km/h ; (b) 16 km/h
