At 08 15, Julie left Town C and cycled towards Town D. Irene left Town C and cycled towards Town D at 08 55. Irene's cycling speed was 6 km/h faster than Julie. At 11 15, Irene caught up with Julie. Find the cycling speed of each cyclist.
- Julie
- Irene
(a)
Duration that Irene cycled from 08 55 to 11 15
= 2
2060 = 2
13 h
Distance that Irene cycled more than Julie
= 2
13 x 6
= 14 km
However, since Julie left 40 minutes earlier than Irene and Irene caught up with Julie, it means that Julie has cycled 14 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Julie's cycling speed
= 14 ÷
23 = 14 x
32 = 21 km/h
(b)
Irene's cycling speed
= 21 + 6
= 27 km/h
Answer(s): (a) 21 km/h ; (b) 27 km/h