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17 February, 07:02

Supriya has a pre-paid electricity connection at home. On a sultry Sunday afternoon, she checks that she only has ₹9 left in the balance. She wants to use the air conditioner (AC), rated at 1.2 kW. The price of electricity is ₹10 / unit in her area. How long can she run the AC before her balance is over and the power runs out?

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  1. 17 February, 07:20
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    Answer: 0.75 hour (s) or 45 minutes

    Explanation:

    1 unit of electricity = 1kwh

    Amount of energy consumed by 1kw load in one hour

    Price per unit = ₹10

    Air conditioner rating (power) = 1.2Kw

    Given that balance = ₹9

    Therefore, supriya's total energy cost = energy balance = ₹9

    Total energy cost = power in kilowatt * time of operation (in hour) * cost per unit

    ₹9 = 1.2kw * time * ₹10

    ₹9 = 12 * time

    Time = 9 / 12

    Time = 0.75 hours

    0.75 * 60 = 45 minutes
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