Question

Out of 555 km, Vishal travelled certain distance by bus and
remaining distance by car. A bus travels with an average speed of 60 km/hr and the average speed of a car is 75 km/hr. He takes total 8 hours to complete the journey. Find the distance that Vishal travelled by bus.​ 

Answer 1

Given data :

Total distance of the trip is 555 kilometres.

Speed of the bus is 60 kilometres per hour.

Speed of the car is 75 kilometres per hour.

Total time taken is 8 hours.

Let, the total distance covered by the bus x kilometres (assume x as a variable to calculate the total distance covered by the bus)

So, the total distance covered by the car

= Total distance - distance covered by the bus

= (555 - x) km

Now,

The bus covers 60 km in = 1 hour

The bus covers 1 km in = `1/60` hour

The bus covers x km in = `"x"/60` hours

And,

The car covers 75 km in = 1 hour

The car covers 1 km in = `1/75` hour

The car covers 555-x km in = `(555 - "x")/75` hours

So,the total time of the journey

`= "x"/60 + (555 - "x")/75` hours

Now, if we compare the total time of the journey that we calculated and the total time of the journey given in the question, then we will get the following equation

`"x"/60 + (555 - "x")/75 = 8`

`(5"x" + 2220 - 4"x")/300 = 8`

`"x" + 2220 = 2400`

X = 180

So,the bus travelled a distance of 180 kilometres.