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