Rael left City T for City S at 07 38. Hilda left City T for City C at the same time. At 12 38, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 28.
- Find the distance between Cities A and C.
- If Hilda was 57 the speed of Rael, find Rael's speed.
(a)
Time taken for Rael and Hilda to travel 07 38 to 12 38 = 5 h
Time taken for Rael and Hilda to travel 07 38 to 14 28 = 6 h 50 min = 6
5060 h = 6
56 h
Distance travelled by Rael and Hilda in 1 hour
= 720 ÷ 5
= 144 km
Total distance
= 6
56 x 144
= 984 km
(b)
Hilda's distance : Rael's distance
5 : 7
Hilda's speed : Rael's speed
5 : 7
12 u = 144 km
1 u = 144 ÷ 12 = 12 km
Rael's speed
= 7 u
= 7 x 12
= 84 km/h
Answer(s): (a) 984 km; (b) 84km/h