At 06 15, Winnie left Town J and cycled towards Town K. Gwen left Town J and cycled towards Town K at 06 45. Gwen's cycling speed was 2 km/h faster than Winnie. At 15 15, Gwen caught up with Winnie. Find the cycling speed of each cyclist.
- Winnie
- Gwen
(a)
Duration that Gwen cycled from 06 45 to 15 15
= 8
3060 = 8
12 h
Distance that Gwen cycled more than Winnie
= 8
12 x 2
= 17 km
However, since Winnie left 30 minutes earlier than Gwen and Gwen caught up with Winnie, it means that Winnie has cycled 17 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Winnie's cycling speed
= 17 ÷
12 = 17 x
21 = 34 km/h
(b)
Gwen's cycling speed
= 34 + 2
= 36 km/h
Answer(s): (a) 34 km/h ; (b) 36 km/h
