At 08 25, Elyse left Town H and cycled towards Town J. Cathy left Town H and cycled towards Town J at 08 55. Cathy's cycling speed was 6 km/h faster than Elyse. At 11 25, Cathy caught up with Elyse. Find the cycling speed of each cyclist.
- Elyse
- Cathy
(a)
Duration that Cathy cycled from 08 55 to 11 25
= 2
3060 = 2
12 h
Distance that Cathy cycled more than Elyse
= 2
12 x 6
= 15 km
However, since Elyse left 30 minutes earlier than Cathy and Cathy caught up with Elyse, it means that Elyse has cycled 15 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Elyse's cycling speed
= 15 ÷
12 = 15 x
21 = 30 km/h
(b)
Cathy's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h
