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rates gmat prep ques

This topic has 4 member replies
yvonne12 Master | Next Rank: 500 Posts Default Avatar
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rates gmat prep ques

Post Sun Mar 04, 2007 12:31 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    at a speed of 50mph a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full tank of 12 gallon tank of gasoline and travels for 5 hours at 50 mph the amount of gas used would be what fraction of a full tank??

    ans. 25/36

    please explain

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    jayhawk2001 Community Manager
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    Post Sun Mar 04, 2007 6:19 pm
    The missing piece here is the gallon consumption per hour

    30 miles -> 1 gallon
    50 miles -> 5/3 gallons

    So, in 5 hours the car would have consumed 25/3 gallons.

    Fraction with respect to the full tank is (25/3) / 12 = 25/36

    yvonne12 Master | Next Rank: 500 Posts Default Avatar
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    Post Mon Mar 05, 2007 8:39 am
    sorry didnt understand how you came to

    25/36 from (25/3)/12 =25/36

    the way I look at it is, in order for us to how much gas he used we need to know the distance.

    5 hours * 50 mph = 250 miles

    also,

    the amount that can be used by a 12 gallon tank is

    30*12=360 miles

    so the fraction used to the total is 250/360 - Thats my logic but it doesnt give me that. Can someone please help me understand this better.

    ssiva Junior | Next Rank: 30 Posts Default Avatar
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    Post Mon Mar 05, 2007 10:35 am
    The problem asks "the amount of gas used would be what fraction of a full tank??"

    You have to find the fraction here:
    Numerator = to be calculated
    Denominator = 12 ( full tank of gas )


    As jayhawlk mentions: one has to find out how much gallons is used for 5 hours.

    From the problem
    1 gallon = 30 miles @ 50 miles per hour
    So to travel 50 miles in one hour, car consumes 50/30 = 5/3 gallons.

    We need to find out what is the consumption for 5 hours = 5 * consumtioon for 1 hours = 5 * (50/30) = 25/3

    So the final solution is (25/3)/12 = 25/36

    yvonne12 Master | Next Rank: 500 Posts Default Avatar
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    Post Mon Mar 05, 2007 5:03 pm
    thanks again for making it clear for me. I understand now.

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