The ratio between the speeds of two buses is 5 : 6. If the second bus runs 450 km in 5 hours, then the speed of the first bus is:

Question: The ratio between the speeds of two buses is 5 : 6. If the second bus runs 450 km in 5 hours, then the speed of the first bus is:

Solution:
Given that,
Ratio of speeds of first bus : second bus = 5 : 6
Second bus covers 450 km in 5 hours

Now, Speed of second bus = distance/time
= 450/5
= 90 km/h

Let speed of first bus = 5x km/h
Speed of second bus = 6x km/h
We know speed of second bus = 90 km/h
So, 6x = 90
⇒ x = 90/6
∴ x = 15

∴ Speed of first bus = 5x = 5 × 15 = 75 km/h

So the speed of the first bus is 75 km/h.