John and matt are going to fill a pool with 2 different sized hoses. john can fill the pool in 5 hours, while matt can complete it in 10 hours. explain each step in solving this equation.

The complete question is
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours.How long will it take both to fill the pool? Explain each step in solving this equation.

we know that
John can fill the pool in > 5 hours
therefore
I calculate the amount of pool that John fills in one hour
if John can fill 100% of the  pool in> 5 hours
X> 1 hour
X=1/5=0.20 pool/hour

Matt  can fill the pool in > 10 hours
therefore
I calculate the amount of pool that Matt  fills in one hour
if Matt can fill 100% of the  pool in> 10 hours
X> 1 hour
X=1/10=0.10 pool/hour

adding both amounts

(0.20+0.10)=0.30 > 30% pool/hour
then
if both can fills 30% of the  pool in> 1 hour
100%> X
X=100/30=3.33 hours> 3 hours + 19 minutes+ 48 sec

the answer is 3.33 hours (3 hours + 19 minutes+ 48 sec)

The equation to determine the amount of pool filling (y) according to time (t) in hours is given by

y=0.30*t 

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