A car is moving on a circular road the initial reading of the odometer is 1500 km when it completes half circle its reading is 1750 km if average velocity of car is 200/pie kilometre per hour then what will be the time taken by this car
Answers
Hey Dear,
◆ Answer -
Time taken = 2.5 hrs
● Explanation -
# Given -
Initial odometer reading = 1500 km
Final odometer reading = 1750 km
Average velocity = 200/π km/h
# Solution -
Total distance covered by the car is given as -
Distance = final reading - initial reading
Distance = 1750 - 1500
Distance = 250 km
This distance is equal to half circumference of circle, thus -
Distance = π × radius
250 = π × radius
Radius = 250/π km
Displacement in semicircle is just the diameter of the circle, thus
Displacement = 2 × radius
Displacement = 2 × 250/π
Displacement = 500/π km
Time taken by the car to travel this distance -
Time = displacement / velocity
Time = (500/π) / (200/π)
Time = 500/200
Time = 2.5 hrs
Therefore, 2.5 hrs will be taken by the car to cover this distance.
Thanks dear...
Answer:
2.5 hr
Explanation:
A car is moving on a circular road the initial reading of the odometer is 1500 km when it completes half circle its reading is 1750 km if average velocity of car is 200/pie kilometre per hour then what will be the time taken by this car
initial reading of the odometer is 1500 km
Final Reading is 1750 km
Distance covered = 1750 - 1500 = 250 km
250 km is half circle
=> π * Radius of circle = 250 km
=> Radius of circle = 250/π km
=> Diameter of circle = 2 * 250/π = 500/π km
Displacement = Diameter = 500/π km
Time taken = Displacement / Velocity
=> Time taken = (500/π)/(200/π) = 2.5 hr
the time taken by the car = 2.5 hr