At 05 10, Sabrina left Town T and cycled towards Town U. Victoria left Town T and cycled towards Town U at 05 55. Victoria's cycling speed was 4 km/h faster than Sabrina. At 11 10, Victoria caught up with Sabrina. Find the cycling speed of each cyclist.
- Sabrina
- Victoria
(a)
Duration that Victoria cycled from 05 55 to 11 10
= 5
1560 = 5
14 h
Distance that Victoria cycled more than Sabrina
= 5
14 x 4
= 21 km
However, since Sabrina left 45 minutes earlier than Victoria and Victoria caught up with Sabrina, it means that Sabrina has cycled 21 km in 45 min.
1 h = 60 min
45 min = 45 ÷ 60 =
34 h
Sabrina's cycling speed
= 21 ÷
34 = 21 x
43 = 28 km/h
(b)
Victoria's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h