At 09 20, Eva left Town Y and cycled towards Town Z. Anna left Town Y and cycled towards Town Z at 09 50. Anna's cycling speed was 8 km/h faster than Eva. At 11 20, Anna caught up with Eva. Find the cycling speed of each cyclist.
- Eva
- Anna
(a)
Duration that Anna cycled from 09 50 to 11 20
= 1
3060 = 1
12 h
Distance that Anna cycled more than Eva
= 1
12 x 8
= 12 km
However, since Eva left 30 minutes earlier than Anna and Anna caught up with Eva, it means that Eva has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Eva's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Anna's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
