At 08 25, Hilda left Town U and cycled towards Town V. Jane left Town U and cycled towards Town V at 08 55. Jane's cycling speed was 6 km/h faster than Hilda. At 11 25, Jane caught up with Hilda. Find the cycling speed of each cyclist.
- Hilda
- Jane
(a)
Duration that Jane cycled from 08 55 to 11 25
= 2
3060 = 2
12 h
Distance that Jane cycled more than Hilda
= 2
12 x 6
= 15 km
However, since Hilda left 30 minutes earlier than Jane and Jane caught up with Hilda, it means that Hilda has cycled 15 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Hilda's cycling speed
= 15 ÷
12 = 15 x
21 = 30 km/h
(b)
Jane's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h