Question 625696
<h2>Rate x Time = Amount of Work</h2>
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If Timmy can fill A pool in 15 hours, his rate of work is {{{1/15}}}. Jane's is {{{1/25}}}. Let us use x to represent the amount of time they both have to work together. Since they only have to fill 1 pool, the amount of work is equal to 1. The equation then is this:
{{{(1/15)x+(1/25)x=1}}}
Multiply both sides by 75 to get rid of the fractions: {{{75((1/15)x+(1/25)x)=75(1)}}}
{{{5x+3x=75}}}
{{{8x=75}}}
{{{x=75/8}}}
If they work together, <b>they can fill the pool in 9 3/8 hours or approximately 9 hours and 23 minutes.</b>