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◆ 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.
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Answer -
Time taken = 2.5 hrs
Explanation -
Initial odometer reading = 1500 km
Final odometer reading = 1750 km
Average velocity = 200/π km/h
Total distance covered by the car is given as -
Distance = final reading - initial reading
= 1750 - 1500
= 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
= 2 × 250/π
= 500/π km
Time taken by the car to travel this distance -
Time = displacement / velocity
= (500/π) / (200/π)
= 500/200
= 2.5 hrs
Therefore, 2.5 hrs will be taken by the car to cover this distance.
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