At 06 15, Joelle left Town B and cycled towards Town C. Gwen left Town B and cycled towards Town C at 06 55. Gwen's cycling speed was 3 km/h faster than Joelle. At 10 15, Gwen caught up with Joelle. Find the cycling speed of each cyclist.
- Joelle
- Gwen
(a)
Duration that Gwen cycled from 06 55 to 10 15
= 3
2060 = 3
13 h
Distance that Gwen cycled more than Joelle
= 3
13 x 3
= 10 km
However, since Joelle left 40 minutes earlier than Gwen and Gwen caught up with Joelle, it means that Joelle has cycled 10 km in 40 min.
1 h = 60 min
40 min = 40 ÷ 60 =
23 h
Joelle's cycling speed
= 10 ÷
23 = 10 x
32 = 15 km/h
(b)
Gwen's cycling speed
= 15 + 3
= 18 km/h
Answer(s): (a) 15 km/h ; (b) 18 km/h
