At 06 25, Marion left Town P and cycled towards Town Q. Barbara left Town P and cycled towards Town Q at 06 55. Barbara's cycling speed was 2 km/h faster than Marion. At 12 25, Barbara caught up with Marion. Find the cycling speed of each cyclist.
- Marion
- Barbara
(a)
Duration that Barbara cycled from 06 55 to 12 25
= 5
3060 = 5
12 h
Distance that Barbara cycled more than Marion
= 5
12 x 2
= 11 km
However, since Marion left 30 minutes earlier than Barbara and Barbara caught up with Marion, it means that Marion has cycled 11 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Marion's cycling speed
= 11 ÷
12 = 11 x
21 = 22 km/h
(b)
Barbara's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h