Out of 555 km, Vishal travelled certain distance by bus and
remaining distance by car. Bus travels with an average speed
of 60 km/hr and the average speed of car is 75 km/hr. He
takes total 8 hours to complete the journey. Find the distance
that Vishal travelled by bus.
Answers
The total distance travelled by the bus is 180 Kilometres.
• 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
(5x+ 2220 - 4x)/300 = 8
x + 2220 = 2400
x = 180
So,the bus travelled a distance of 180 kilometres. (Answer)