Rael left City V for City U at 07 35. Marion left City V for City C at the same time. At 10 35, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 30.
- Find the distance between Cities A and C.
- If Marion was 45 the speed of Rael, find Rael's speed.
(a)
Time taken for Rael and Marion to travel 07 35 to 10 35 = 3 h
Time taken for Rael and Marion to travel 07 35 to 14 30 = 6 h 55 min = 6
5560 h = 6
1112 h
Distance travelled by Rael and Marion in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
1112 x 180
= 1245 km
(b)
Marion's distance : Rael's distance
4 : 5
Marion's speed : Rael's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Rael's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1245 km; (b) 100km/h