Perry left City V for City U at 09 20. Ivory left City V for City C at the same time. At 13 20, they were 792 km apart. Both maintained a constant speed and reached their destination at the same time at 16 10.
- Find the distance between Cities A and C.
- If Ivory was 45 the speed of Perry, find Perry's speed.
(a)
Time taken for Perry and Ivory to travel 09 20 to 13 20 = 4 h
Time taken for Perry and Ivory to travel 09 20 to 16 10 = 6 h 50 min = 6
5060 h = 6
56 h
Distance travelled by Perry and Ivory in 1 hour
= 792 ÷ 4
= 198 km
Total distance
= 6
56 x 198
= 1353 km
(b)
Ivory's distance : Perry's distance
4 : 5
Ivory's speed : Perry's speed
4 : 5
9 u = 198 km
1 u = 198 ÷ 9 = 22 km
Perry's speed
= 5 u
= 5 x 22
= 110 km/h
Answer(s): (a) 1353 km; (b) 110km/h