A car moves for half of its time at 80km/hr and for rest half of time at 40km/hr.The total distance covered is 60km.What is the average speed of the car?
time t at 80
time t at 40
80 t + 40 t = 60
120 t = 60
t = (1/2) hour at each speed
distance = 80(1/2) + 40(1/2) = 60km
av speed = 60 km/1 hour
To find the average speed of the car, we need to calculate the total time taken by the car and the total distance traveled.
Let's assume the car travels at a speed of 80 km/hr for 't' hours and at a speed of 40 km/hr for 't' hours as well.
Distance covered at a speed of 80 km/hr = (80 km/hr) * t hours
Distance covered at a speed of 40 km/hr = (40 km/hr) * t hours
According to the given condition, the total distance covered is 60 km. So we have:
(80 km/hr) * t hours + (40 km/hr) * t hours = 60 km
Now, let's solve the equation to find the value of 't'.
(80t + 40t) km/hr = 60 km
120t km/hr = 60 km
t = 0.5 hours
Now that we know the value of 't', we can calculate the total time taken by the car, which is 0.5 hours.
To find the average speed, we divide the total distance covered by the total time taken:
Average Speed = Total Distance / Total Time
Average Speed = 60 km / 0.5 hours
Average Speed = 120 km/hr
Therefore, the average speed of the car is 120 km/hr.