Zane left City A for City Z at 06 42. Opal left City A for City C at the same time. At 10 42, they were 704 km apart. Both maintained a constant speed and reached their destination at the same time at 13 12.
- Find the distance between Cities A and C.
- If Opal was 35 the speed of Zane, find Zane's speed.
(a)
Time taken for Zane and Opal to travel 06 42 to 10 42 = 4 h
Time taken for Zane and Opal to travel 06 42 to 13 12 = 6 h 30 min = 6
3060 h = 6
12 h
Distance travelled by Zane and Opal in 1 hour
= 704 ÷ 4
= 176 km
Total distance
= 6
12 x 176
= 1144 km
(b)
Opal's distance : Zane's distance
3 : 5
Opal's speed : Zane's speed
3 : 5
8 u = 176 km
1 u = 176 ÷ 8 = 22 km
Zane's speed
= 5 u
= 5 x 22
= 110 km/h
Answer(s): (a) 1144 km; (b) 110km/h