At 06 25, Fiona left Town K and cycled towards Town L. Irene left Town K and cycled towards Town L at 06 45. Irene's cycling speed was 3 km/h faster than Fiona. At 10 25, Irene caught up with Fiona. Find the cycling speed of each cyclist.
- Fiona
- Irene
(a)
Duration that Irene cycled from 06 45 to 10 25
= 3
4060 = 3
23 h
Distance that Irene cycled more than Fiona
= 3
23 x 3
= 11 km
However, since Fiona left 20 minutes earlier than Irene and Irene caught up with Fiona, it means that Fiona has cycled 11 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Fiona's cycling speed
= 11 ÷
13 = 11 x
31 = 33 km/h
(b)
Irene's cycling speed
= 33 + 3
= 36 km/h
Answer(s): (a) 33 km/h ; (b) 36 km/h
