If car travels one fourth of the distance at a speed of 10 metre per s...
Problem Statement:
A car travels one fourth of the distance at a speed of 10 metres per second and the remaining distance at a speed of 15 metres per second. What is the average speed of the car?
Solution:
Let's assume that the total distance travelled by the car is 'd'.
According to the problem statement, the car travels one fourth of the distance at a speed of 10 metres per second.
Let's calculate the time taken by the car to travel this distance.
Distance travelled = d/4
Speed of the car = 10 metres per second
Time taken = Distance/Speed = (d/4) / 10 = d/40 seconds
Now, the car has to travel the remaining 3/4th of the distance at a speed of 15 metres per second.
Let's calculate the time taken by the car to travel this distance.
Distance travelled = 3d/4
Speed of the car = 15 metres per second
Time taken = Distance/Speed = (3d/4) / 15 = d/20 seconds
Therefore, the total time taken by the car to travel the entire distance is:
Total time taken = (d/40) + (d/20) = 3d/40 seconds
Now, let's calculate the average speed of the car.
Average speed of the car = Total distance travelled / Total time taken
Average speed of the car = d / (3d/40) = 40/3 metres per second
Answer:
Therefore, the average speed of the car is 40/3 metres per second.