At 05 10, Hilda left Town N and cycled towards Town P. Zara left Town N and cycled towards Town P at 05 40. Zara's cycling speed was 2 km/h faster than Hilda. At 12 10, Zara caught up with Hilda. Find the cycling speed of each cyclist.
- Hilda
- Zara
(a)
Duration that Zara cycled from 05 40 to 12 10
= 6
3060 = 6
12 h
Distance that Zara cycled more than Hilda
= 6
12 x 2
= 13 km
However, since Hilda left 30 minutes earlier than Zara and Zara caught up with Hilda, it means that Hilda has cycled 13 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Hilda's cycling speed
= 13 ÷
12 = 13 x
21 = 26 km/h
(b)
Zara's cycling speed
= 26 + 2
= 28 km/h
Answer(s): (a) 26 km/h ; (b) 28 km/h
