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29 April, 05:56

g you are shopping for a new refrigerator and the salesperson tells you get a better deal with the energy efficient model (because of more efficient compressor) even though it costs $1200 versus the standard model which costs $1005. Looking at the specifications, the energy efficient model uses 195 W whereas the standard uses 335 W. Also, because of better insulation. the energy efficient model runs 10% of the time versus the standard which runs 25% of the time. if electricity costs $0.12 per kWh, how long will it take to make up the difference in the cost?

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  1. 29 April, 06:14
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    It will take 1996 hours (83 days) to make up the difference in price.

    Explanation:

    Giving the following information:

    Efficient model = 1200

    Standard model = 1005

    Price difference = $195

    Efficient model = 195 Wh = 0.195Kwh (runs 10% of the time)

    Standard model = 335Wh = 0.335Kwh (runs 25% of the time)

    Electricity costs 0.12 an hour

    Cost per hour:

    Efficient model = (0.195Kwh*0.10) * 0.12 = 0.00234

    Standard model = (0.335*0.25) * 0.12 = 0.10

    Cost per hour difference = 0.10 - 0.00234 = 0.0977

    cost difference = cost per hour * number of hours

    195 = 0.0977*X

    1996 = X

    It will take 1996 hours (83 days) to make up the difference in price.
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