Question

A bus travels at a certain average speed for a distance of 75 km and then travels a distance of 90
.km at an average speed of 10 km/h mmore than the first speed. If it takes 3 hours to complete
the total journey, find its first speed.

Answer 1

Answer:

A bus travels at a certain average speed for a distance of 75 km and then travels a distance of 90

.km at an average speed of 10 km/h mmore than the first speed. If it takes 3 hours to complete

the total journey, find its first speed.

Answer 2

Answer:

The first speed of the bus is 50 km/h

Step-by-step explanation:

Time taken=Distance travelled/Speed

Given,total time taken=3 hours

Let the initial speed of bus be 'x'.

and the final speed of bus will be x+10.

As the bus moved with two different speeds,

t=(75/x)+(90/x+10)

the final quadratic equation we will be getting is

x²-45x-250=0;

by finding its roots we get

x=50..

The Formula for finding the roots is (-b±√b²-4ac)/2a.