At 09 30, Xuan left Town P and cycled towards Town Q. Emily left Town P and cycled towards Town Q at 09 50. Emily's cycling speed was 3 km/h faster than Xuan. At 12 30, Emily caught up with Xuan. Find the cycling speed of each cyclist.
- Xuan
- Emily
(a)
Duration that Emily cycled from 09 50 to 12 30
= 2
4060 = 2
23 h
Distance that Emily cycled more than Xuan
= 2
23 x 3
= 8 km
However, since Xuan left 20 minutes earlier than Emily and Emily caught up with Xuan, it means that Xuan has cycled 8 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Xuan's cycling speed
= 8 ÷
13 = 8 x
31 = 24 km/h
(b)
Emily's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
