At 09 20, Emma left Town P and cycled towards Town Q. Fanny left Town P and cycled towards Town Q at 09 40. Fanny's cycling speed was 3 km/h faster than Emma. At 13 20, Fanny caught up with Emma. Find the cycling speed of each cyclist.
- Emma
- Fanny
(a)
Duration that Fanny cycled from 09 40 to 13 20
= 3
4060 = 3
23 h
Distance that Fanny cycled more than Emma
= 3
23 x 3
= 11 km
However, since Emma left 20 minutes earlier than Fanny and Fanny caught up with Emma, it means that Emma has cycled 11 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Emma's cycling speed
= 11 ÷
13 = 11 x
31 = 33 km/h
(b)
Fanny's cycling speed
= 33 + 3
= 36 km/h
Answer(s): (a) 33 km/h ; (b) 36 km/h
