At 06 10, Lynn left Town Y and cycled towards Town Z. Gwen left Town Y and cycled towards Town Z at 06 40. Gwen's cycling speed was 4 km/h faster than Lynn. At 11 10, Gwen caught up with Lynn. Find the cycling speed of each cyclist.
- Lynn
- Gwen
(a)
Duration that Gwen cycled from 06 40 to 11 10
= 4
3060 = 4
12 h
Distance that Gwen cycled more than Lynn
= 4
12 x 4
= 18 km
However, since Lynn left 30 minutes earlier than Gwen and Gwen caught up with Lynn, it means that Lynn has cycled 18 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Lynn's cycling speed
= 18 ÷
12 = 18 x
21 = 36 km/h
(b)
Gwen's cycling speed
= 36 + 4
= 40 km/h
Answer(s): (a) 36 km/h ; (b) 40 km/h
