The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720 km in 9 hours. The speed of the Bus is three-fourths the speed of the car. How much distance will the train cover in 7 hours?

Question: The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720 km in 9 hours. The speed of the Bus is three-fourths the speed of the car. How much distance will the train cover in 7 hours?

Solution:
Ratio of speed of Bus and Train = 15 : 27
Let speed of the bus is 15x and Speed of the Train is 27x.
Car Covered 720 km in 9 hours.
So, Speed of the Car = 720/9 = 80 kmph

Given, Speed of the bus is 3/4 of Car,
So speed of the Bus = (80 × 3)/4 = 60 kmph

Thus, 15x = 60
∴ x = 4

So, Speed of the train = 27x = 27 × 4 = 108 kmph.
Hence, Train will cover distance in 7 hours,
= 108 × 7
= 756 km