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A motor of power 13.6 hp to be operated 15 hours/day. How much will it cost at the rate 354 paise/kWh in 11 days

Question

A motor of power 13.6 hp to be operated 15 hours/day. How much will it cost at the rate 354 paise/kWh in 11 days

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Solution

Sure, here are the steps to calculate the cost:

  1. Convert the power from horsepower to kilowatts. 1 horsepower is approximately 0.746 kilowatts. So, 13.6 hp is 13.6 * 0.746 = 10.13 kW.

  2. Calculate the total energy consumed in a day. The motor is operated for 15 hours a day. So, the energy consumed in a day is 10.13 kW * 15 hours = 151.95 kWh.

  3. Calculate the total energy consumed in 11 days. The energy consumed in 11 days is 151.95 kWh/day * 11 days = 1671.45 kWh.

  4. Calculate the cost. The rate is 354 paise/kWh. So, the cost is 1671.45 kWh * 354 paise/kWh = 591,953.3 paise.

  5. Convert the cost from paise to rupees. 1 rupee is 100 paise. So, the cost is 591,953.3 paise / 100 = 5,919.53 rupees.

So, it will cost 5,919.53 rupees to operate the motor for 11 days.

This problem has been solved

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