The ratio between the speeds of two trains is 5 : 6. If the second train runs 270 km in 3 hours, then the speed of the first train is:

Question: The ratio between the speeds of two trains is 5 : 6. If the second train runs 270 km in 3 hours, then the speed of the first train is:

Solution:
Let,
the speed of first train be 5x
the speed of second train be 6x

ATQ,
6x = 270/3
Or, 6x = 90
Or, x = 90/6
Or, x = 15

∴ Speed of first train = 5x = 5 × 15 = 75 km/hr.