At 08 20, Elyse left Town N and cycled towards Town P. Zara left Town N and cycled towards Town P at 08 50. Zara's cycling speed was 2 km/h faster than Elyse. At 13 20, Zara caught up with Elyse. Find the cycling speed of each cyclist.
- Elyse
- Zara
(a)
Duration that Zara cycled from 08 50 to 13 20
= 4
3060 = 4
12 h
Distance that Zara cycled more than Elyse
= 4
12 x 2
= 9 km
However, since Elyse left 30 minutes earlier than Zara and Zara caught up with Elyse, it means that Elyse has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Elyse's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Zara's cycling speed
= 18 + 2
= 20 km/h
Answer(s): (a) 18 km/h ; (b) 20 km/h
