At 08 30, Zara left Town Z and cycled towards Town A. Jane left Town Z and cycled towards Town A at 08 50. Jane's cycling speed was 3 km/h faster than Zara. At 10 30, Jane caught up with Zara. Find the cycling speed of each cyclist.
- Zara
- Jane
(a)
Duration that Jane cycled from 08 50 to 10 30
= 1
4060 = 1
23 h
Distance that Jane cycled more than Zara
= 1
23 x 3
= 5 km
However, since Zara left 20 minutes earlier than Jane and Jane caught up with Zara, it means that Zara has cycled 5 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Zara's cycling speed
= 5 ÷
13 = 5 x
31 = 15 km/h
(b)
Jane's cycling speed
= 15 + 3
= 18 km/h
Answer(s): (a) 15 km/h ; (b) 18 km/h
