document.write( "Question 985095: Two buckets are used to fill a large bathtub with water. Bucket A is larger and by itself it can fill the bathtub in 20 minutes. Bucket B is smaller and by itself it can fill the bathtub in 50 minutes. If the two buckets are used together how much time(minutes) does it take to fill the bathtub? \n" ); document.write( "

Algebra.Com's Answer #605936 by ikleyn(52781) $\"\"$ $\"About$

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First bucket fills the bathtub in 20 minutes. Hence, it fills $\"1%2F20\"$ of the bathtub volume per minute. \r
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\n" ); document.write( "\n" ); document.write( "The second bucket fills the bathtub in 50 minutes. Hence, it fills $\"1%2F50\"$ of the bathtub volume per minute. \r
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\n" ); document.write( "\n" ); document.write( "If two buckets are used, they fill $\"1%2F20\"$ + $\"1%2F50\"$ = $\"+5%2F100+%2B+2%2F100\"$ = $\"7%2F100\"$ of the bathtub volume each minute.\r
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\n" ); document.write( "\n" ); document.write( "Hence, it will take $\"100%2F7\"$ = $\"14\"$ $\"2%2F7\"$ minutes to fill the bathtub using two buckets. \r
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\n" ); document.write( "\n" ); document.write( "This problem is the \"rate-of-work\" problem on joint work.\r
\n" ); document.write( "\n" ); document.write( "For more of these problems see my lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Using quadratic equations to solve word problems on joint work,\r
\n" ); document.write( "\n" ); document.write( "    - Solving rate of work problem by reducing to a system of linear equations.\r
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