At 08 25, Pamela left Town M and cycled towards Town N. Fiona left Town M and cycled towards Town N at 08 55. Fiona's cycling speed was 2 km/h faster than Pamela. At 10 25, Fiona caught up with Pamela. Find the cycling speed of each cyclist.
- Pamela
- Fiona
(a)
Duration that Fiona cycled from 08 55 to 10 25
= 1
3060 = 1
12 h
Distance that Fiona cycled more than Pamela
= 1
12 x 2
= 3 km
However, since Pamela left 30 minutes earlier than Fiona and Fiona caught up with Pamela, it means that Pamela has cycled 3 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Pamela's cycling speed
= 3 ÷
12 = 3 x
21 = 6 km/h
(b)
Fiona's cycling speed
= 6 + 2
= 8 km/h
Answer(s): (a) 6 km/h ; (b) 8 km/h