At 09 25, Emma left Town D and cycled towards Town E. Gwen left Town D and cycled towards Town E at 09 40. Gwen's cycling speed was 4 km/h faster than Emma. At 11 25, Gwen caught up with Emma. Find the cycling speed of each cyclist.
- Emma
- Gwen
(a)
Duration that Gwen cycled from 09 40 to 11 25
= 1
4560 = 1
34 h
Distance that Gwen cycled more than Emma
= 1
34 x 4
= 7 km
However, since Emma left 15 minutes earlier than Gwen and Gwen caught up with Emma, it means that Emma has cycled 7 km in 15 min.
1 h = 60 min
15 min = 15 ÷ 60 =
14 h
Emma's cycling speed
= 7 ÷
14 = 7 x
41 = 28 km/h
(b)
Gwen's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h
