Rael left City F for City E at 08 41. Jade left City F for City C at the same time. At 13 41, they were 945 km apart. Both maintained a constant speed and reached their destination at the same time at 15 21.
- Find the distance between Cities A and C.
- If Jade was 45 the speed of Rael, find Rael's speed.
(a)
Time taken for Rael and Jade to travel 08 41 to 13 41 = 5 h
Time taken for Rael and Jade to travel 08 41 to 15 21 = 6 h 40 min = 6
4060 h = 6
23 h
Distance travelled by Rael and Jade in 1 hour
= 945 ÷ 5
= 189 km
Total distance
= 6
23 x 189
= 1260 km
(b)
Jade's distance : Rael's distance
4 : 5
Jade's speed : Rael's speed
4 : 5
9 u = 189 km
1 u = 189 ÷ 9 = 21 km
Rael's speed
= 5 u
= 5 x 21
= 105 km/h
Answer(s): (a) 1260 km; (b) 105km/h