Oliver left City Y for City X at 08 47. Zara left City Y for City C at the same time. At 10 47, they were 340 km apart. Both maintained a constant speed and reached their destination at the same time at 12 11.
- Find the distance between Cities A and C.
- If Zara was 89 the speed of Oliver, find Oliver's speed.
(a)
Time taken for Oliver and Zara to travel 08 47 to 10 47 = 2 h
Time taken for Oliver and Zara to travel 08 47 to 12 11 = 3 h 24 min = 3
2460 h = 3
25 h
Distance travelled by Oliver and Zara in 1 hour
= 340 ÷ 2
= 170 km
Total distance
= 3
25 x 170
= 578 km
(b)
Zara's distance : Oliver's distance
8 : 9
Zara's speed : Oliver's speed
8 : 9
17 u = 170 km
1 u = 170 ÷ 17 = 10 km
Oliver's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 578 km; (b) 90km/h