Question

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 km/h , then what will be time taken by the car?

Answer 1

Answer:

◆ 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.

Explanation: