The ratio of the speed of a bus to that of a train is 15 : 27. Also, a car covers a distance of 720 km in 9 hours. The speed of the bus is tree-fourths of the speed of the car. How much distance will the train cover in 7 hours?
Answer & explanation
Correct answer: option 2
Distance = Speed × Time
Speed = \(\frac{DIstance}{Time}\)
Speed of car = \(\frac{720}{9}\) = 80 km/h
According to question ,
Speed of bus = \(\frac{3}{4}\) × Speed of car
= \(\frac{3}{4}\) × 80 = 60 km/h
Now ,
Ratio of Speed of bus to that of train = 15 : 27
15R = 60
1R = 4
So , 27R = 27 × 4 = 108 km/h
i.e Speed of train = 108 km/h
Time taken = 7 hours
So distance = 108 × 7 = 756 km