This is my last problem and I don't get it?
A snowmaking machine at a ski resort can produce enough snow for a beginning ski trail in 18 hours. With a typical natural snowfall, it takes 24 hours to deposit enough snow to open the beginning ski trail. If the snowmaking machine is run during a natural snowfall, how long will it take to deposit enough snow to open the beginning trail?
A snowmaking machine at a ski resort can produce enough snow for a beginning ski trail in 18 hours. With a typical natural snowfall, it takes 24 hours to deposit enough snow to open the beginning ski trail. If the snowmaking machine is run during a natural snowfall, how long will it take to deposit enough snow to open the beginning trail?
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No. of hours—x:
x(1/18 + 1/24) = 1
1/18 + 1/24 = 1/x
4x + 3x = 72
7x = 72
x = 72/7 or 10 2/7
Answer: 10 2/7 hrs OR 10 hrs 17 min 8 4/7 sec
x(1/18 + 1/24) = 1
1/18 + 1/24 = 1/x
4x + 3x = 72
7x = 72
x = 72/7 or 10 2/7
Answer: 10 2/7 hrs OR 10 hrs 17 min 8 4/7 sec
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x is the amount of snow deposited by the machine per hour
y is the amount of snow deposited by snowfall per hour
therefore, 18x=t and 24y=t, where t is the amount of snow required.
therefore, x=t/18 and y=t/24
therefore, ax+ay=t, where a is the amount of time taken
therefore a(t/18)+a(t/24)=t
solve for a by eliminating t
y is the amount of snow deposited by snowfall per hour
therefore, 18x=t and 24y=t, where t is the amount of snow required.
therefore, x=t/18 and y=t/24
therefore, ax+ay=t, where a is the amount of time taken
therefore a(t/18)+a(t/24)=t
solve for a by eliminating t
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21 hours
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i have the answer but im not gonna tell you >:)