Question

A new type of pump can drain a certain pool in
10
hours. An older pump can drain the pool in
15
hours. How long will it take both pumps working together to drain the pool?

Answer 1

First you set up the equation as \[\frac{ 1 }{ 10 } + \frac{ 1 }{ 15 } \] =T

Answer 2

Then you add the two fractions
i would make the denominator 30 since that would be the easiest
\[\frac{ 3 }{ 10 } + \frac{ 2 }{ 30 }\]

Answer 3

After adding that it should look like this
\[\frac{ 5 }{ 30 }=\frac{ 1 }{ t }\]

then flip both so it becomes
\[\frac{ 30 }{ 5 } = t\]

then solve and you should get your answer also sorry i made a mistake earlier when i put it equaled to t on the first one, it should have been 1/t

Answer 4

Its all good, really appreciate it man

Answer 5

Welcome! Glad to help :)