At 06 20, Emma left Town Y and cycled towards Town Z. Marion left Town Y and cycled towards Town Z at 06 50. Marion's cycling speed was 2 km/h faster than Emma. At 12 20, Marion caught up with Emma. Find the cycling speed of each cyclist.
- Emma
- Marion
(a)
Duration that Marion cycled from 06 50 to 12 20
= 5
3060 = 5
12 h
Distance that Marion cycled more than Emma
= 5
12 x 2
= 11 km
However, since Emma left 30 minutes earlier than Marion and Marion caught up with Emma, it means that Emma has cycled 11 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Emma's cycling speed
= 11 ÷
12 = 11 x
21 = 22 km/h
(b)
Marion's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h
