Question 739937
One pipe fills a tank in eight hours. Another pipe can fill the tank in 12 hours. How long will it take to fill the tank if both pipes are operating simultaneously?
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let x=time it will take to fill the tank if both pipes are operating simultaneously
1/x= work rate with both pipes are operating simultaneously
1/8=work rate of one of the pipes
1/12=work rate of the other pipe
sum of individual work rates=work rate working together
{{{1/8+1/12=1/x}}}
{{{3/24+2/24=1/x}}}
{{{5/24=1/x}}}
x=24/5=4.8
time it will take to fill the tank if both pipes are operating simultaneously=4.8 hrs