At 09 15, Nora left Town M and cycled towards Town N. Gwen left Town M and cycled towards Town N at 09 55. Gwen's cycling speed was 6 km/h faster than Nora. At 11 15, Gwen caught up with Nora. Find the cycling speed of each cyclist.
- Nora
- Gwen
(a)
Duration that Gwen cycled from 09 55 to 11 15
= 1
2060 = 1
13 h
Distance that Gwen cycled more than Nora
= 1
13 x 6
= 8 km
However, since Nora left 40 minutes earlier than Gwen and Gwen caught up with Nora, it means that Nora has cycled 8 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Nora's cycling speed
= 8 ÷
23 = 8 x
32 = 12 km/h
(b)
Gwen's cycling speed
= 12 + 6
= 18 km/h
Answer(s): (a) 12 km/h ; (b) 18 km/h
