Vincent left City Z for City Y at 07 48. Risa left City Z for City C at the same time. At 10 48, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 12 26.
- Find the distance between Cities A and C.
- If Risa was 57 the speed of Vincent, find Vincent's speed.
(a)
Time taken for Vincent and Risa to travel 07 48 to 10 48 = 3 h
Time taken for Vincent and Risa to travel 07 48 to 12 26 = 4 h 38 min = 4
3860 h = 4
1930 h
Distance travelled by Vincent and Risa in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 4
1930 x 180
= 834 km
(b)
Risa's distance : Vincent's distance
5 : 7
Risa's speed : Vincent's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Vincent's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 834 km; (b) 105km/h