At 05 20, Cathy left Town Q and cycled towards Town R. Emma left Town Q and cycled towards Town R at 05 50. Emma's cycling speed was 2 km/h faster than Cathy. At 11 20, Emma caught up with Cathy. Find the cycling speed of each cyclist.
- Cathy
- Emma
(a)
Duration that Emma cycled from 05 50 to 11 20
= 5
3060 = 5
12 h
Distance that Emma cycled more than Cathy
= 5
12 x 2
= 11 km
However, since Cathy left 30 minutes earlier than Emma and Emma caught up with Cathy, it means that Cathy has cycled 11 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Cathy's cycling speed
= 11 ÷
12 = 11 x
21 = 22 km/h
(b)
Emma's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h
