A car moves for half of its time at 80km/hr and for rest half of timeat 40km/hr. Total distance covered is 60km.What is the average speed of car
d = r * t
(80 * t/2) + (40 * t/2) = 60
120 t = 120 ... t = 1
r = d / t = 60 km / 1 hr = 60 km/hr
To find the average speed of the car, we need to consider the total distance covered and the total time taken.
Let's break down the problem step by step:
1. First, let's find the time taken for each speed. We know that the car moves at 80 km/hr for half of the time, and at 40 km/hr for the remaining half of the time.
Let's assume the total time taken is 't' hours. Since the car spends an equal amount of time at each speed, it spends t/2 hours at 80 km/hr and t/2 hours at 40 km/hr.
2. Now, let's find the distance covered at each speed:
Distance covered at 80 km/hr = (80 km/hr) * (t/2) hours
Distance covered at 40 km/hr = (40 km/hr) * (t/2) hours
3. We know that the total distance covered is 60 km. So, we can set up the equation:
Distance covered at 80 km/hr + Distance covered at 40 km/hr = 60 km
Substituting the previously calculated distances:
(80 km/hr) * (t/2) + (40 km/hr) * (t/2) = 60 km
4. Simplifying the equation:
80t/2 + 40t/2 = 60
40t + 20t = 60
60t = 60
t = 1 hour
5. Now that we know the total time taken is 1 hour, we can find the average speed:
Average speed = Total distance covered / Total time taken
Average speed = 60 km / 1 hour
Average speed = 60 km/hr
So, the average speed of the car is 60 km/hr.