At 09 25, Emma left Town W and cycled towards Town X. Mary left Town W and cycled towards Town X at 09 55. Mary's cycling speed was 2 km/h faster than Emma. At 12 25, Mary caught up with Emma. Find the cycling speed of each cyclist.
- Emma
- Mary
(a)
Duration that Mary cycled from 09 55 to 12 25
= 2
3060 = 2
12 h
Distance that Mary cycled more than Emma
= 2
12 x 2
= 5 km
However, since Emma left 30 minutes earlier than Mary and Mary caught up with Emma, it means that Emma has cycled 5 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Emma's cycling speed
= 5 ÷
12 = 5 x
21 = 10 km/h
(b)
Mary's cycling speed
= 10 + 2
= 12 km/h
Answer(s): (a) 10 km/h ; (b) 12 km/h
