Perry left City A for City Z at 09 49. Diana left City A for City C at the same time. At 12 49, they were 546 km apart. Both maintained a constant speed and reached their destination at the same time at 16 19.
- Find the distance between Cities A and C.
- If Diana was 59 the speed of Perry, find Perry's speed.
(a)
Time taken for Perry and Diana to travel 09 49 to 12 49 = 3 h
Time taken for Perry and Diana to travel 09 49 to 16 19 = 6 h 30 min = 6
3060 h = 6
12 h
Distance travelled by Perry and Diana in 1 hour
= 546 ÷ 3
= 182 km
Total distance
= 6
12 x 182
= 1183 km
(b)
Diana's distance : Perry's distance
5 : 9
Diana's speed : Perry's speed
5 : 9
14 u = 182 km
1 u = 182 ÷ 14 = 13 km
Perry's speed
= 9 u
= 9 x 13
= 117 km/h
Answer(s): (a) 1183 km; (b) 117km/h