At 09 15, Gwen left Town V and cycled towards Town W. Gabby left Town V and cycled towards Town W at 09 45. Gabby's cycling speed was 4 km/h faster than Gwen. At 13 15, Gabby caught up with Gwen. Find the cycling speed of each cyclist.
- Gwen
- Gabby
(a)
Duration that Gabby cycled from 09 45 to 13 15
= 3
3060 = 3
12 h
Distance that Gabby cycled more than Gwen
= 3
12 x 4
= 14 km
However, since Gwen left 30 minutes earlier than Gabby and Gabby caught up with Gwen, it means that Gwen has cycled 14 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Gwen's cycling speed
= 14 ÷
12 = 14 x
21 = 28 km/h
(b)
Gabby's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h
