At 08 10, Julie left Town E and cycled towards Town F. Opal left Town E and cycled towards Town F at 08 55. Opal's cycling speed was 8 km/h faster than Julie. At 11 10, Opal caught up with Julie. Find the cycling speed of each cyclist.
- Julie
- Opal
(a)
Duration that Opal cycled from 08 55 to 11 10
= 2
1560 = 2
14 h
Distance that Opal cycled more than Julie
= 2
14 x 8
= 18 km
However, since Julie left 45 minutes earlier than Opal and Opal caught up with Julie, it means that Julie has cycled 18 km in 45 min.
1 h = 60 min
45 min = 45 ÷ 60 =
34 h
Julie's cycling speed
= 18 ÷
34 = 18 x
43 = 24 km/h
(b)
Opal's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
