At 08 10, Kylie left Town H and cycled towards Town J. Opal left Town H and cycled towards Town J at 08 40. Opal's cycling speed was 8 km/h faster than Kylie. At 10 10, Opal caught up with Kylie. Find the cycling speed of each cyclist.
- Kylie
- Opal
(a)
Duration that Opal cycled from 08 40 to 10 10
= 1
3060 = 1
12 h
Distance that Opal cycled more than Kylie
= 1
12 x 8
= 12 km
However, since Kylie left 30 minutes earlier than Opal and Opal caught up with Kylie, it means that Kylie has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Kylie's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Opal's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
