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
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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
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
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.
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.
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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
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