At 07 10, Eva left Town M and cycled towards Town N. Lynn left Town M and cycled towards Town N at 07 40. Lynn's cycling speed was 2 km/h faster than Eva. At 10 10, Lynn caught up with Eva. Find the cycling speed of each cyclist.
- Eva
- Lynn
(a)
Duration that Lynn cycled from 07 40 to 10 10
= 2
3060 = 2
12 h
Distance that Lynn cycled more than Eva
= 2
12 x 2
= 5 km
However, since Eva left 30 minutes earlier than Lynn and Lynn caught up with Eva, it means that Eva has cycled 5 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Eva's cycling speed
= 5 ÷
12 = 5 x
21 = 10 km/h
(b)
Lynn's cycling speed
= 10 + 2
= 12 km/h
Answer(s): (a) 10 km/h ; (b) 12 km/h