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Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?.

Verified Answer :

olemakpadu

In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

In 1 hour he would do 1/3 of it.

In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

In 1 hour they will both do   1/x

That means that:

1/x = 1/4 + 1/3

That is the equation.   x can be solved for.

Blacklash

Answer:

The equation is \(x=\frac{12}{7}\)

Step-by-step explanation:

The amount of time it would take for Bethany and Colin to mow the lawn together = x

Bethany can mow her family’s lawn in 4 hours.

Let the mow work be m.

\(\texttt{Rate of Bethany}=\frac{m}{4}\)

Colin can mow the lawn in 3 hour

\(\texttt{Rate of Colin}=\frac{m}{3}\)

Time required when they mow together

         \(x=\frac{m}{\frac{m}{4}+\frac{m}{3}}=\frac{12}{7}\\\\x=\frac{12}{7}\)

The equation is \(x=\frac{12}{7}\)

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