At 09 25, Gwen left Town P and cycled towards Town Q. Olivia left Town P and cycled towards Town Q at 09 45. Olivia's cycling speed was 3 km/h faster than Gwen. At 12 25, Olivia caught up with Gwen. Find the cycling speed of each cyclist.
- Gwen
- Olivia
(a)
Duration that Olivia cycled from 09 45 to 12 25
= 2
4060 = 2
23 h
Distance that Olivia cycled more than Gwen
= 2
23 x 3
= 8 km
However, since Gwen left 20 minutes earlier than Olivia and Olivia caught up with Gwen, it means that Gwen has cycled 8 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Gwen's cycling speed
= 8 ÷
13 = 8 x
31 = 24 km/h
(b)
Olivia's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
