At 08 15, Kathy left Town E and cycled towards Town F. Zara left Town E and cycled towards Town F at 08 35. Zara's cycling speed was 6 km/h faster than Kathy. At 10 15, Zara caught up with Kathy. Find the cycling speed of each cyclist.
- Kathy
- Zara
(a)
Duration that Zara cycled from 08 35 to 10 15
= 1
4060 = 1
23 h
Distance that Zara cycled more than Kathy
= 1
23 x 6
= 10 km
However, since Kathy left 20 minutes earlier than Zara and Zara caught up with Kathy, it means that Kathy has cycled 10 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Kathy's cycling speed
= 10 ÷
13 = 10 x
31 = 30 km/h
(b)
Zara's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h
