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?

756

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