At 05 10, Zara left Town X and cycled towards Town Y. Kathy left Town X and cycled towards Town Y at 05 40. Kathy's cycling speed was 2 km/h faster than Zara. At 14 10, Kathy caught up with Zara. Find the cycling speed of each cyclist.
- Zara
- Kathy
(a)
Duration that Kathy cycled from 05 40 to 14 10
= 8
3060 = 8
12 h
Distance that Kathy cycled more than Zara
= 8
12 x 2
= 17 km
However, since Zara left 30 minutes earlier than Kathy and Kathy caught up with Zara, it means that Zara has cycled 17 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Zara's cycling speed
= 17 ÷
12 = 17 x
21 = 34 km/h
(b)
Kathy's cycling speed
= 34 + 2
= 36 km/h
Answer(s): (a) 34 km/h ; (b) 36 km/h
