Question

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?.

Answer 1

4÷×=3 because 4×3=12 so do the opposite and so ÷and u do 4÷x=3

Answer 2

The required equation is
`(1)/(4)+(1)/(3)=(1)/(x)`

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.

Step-by-step explanation:

Given : Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours.

To find : Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Solution :

Let the whole lawn of the house be 1 unit.

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

i.e.The rate of Bethany is
`(1)/(4)` lawns per hour.

Her brother Colin can mow the lawn in 3 hours.

i.e.The rate of Colin is
`(1)/(3)` lawns per hour.

Together they work x hours.

i.e. The together rate is
`(1)/(x)` lawns per hour.

So, The equation form according to question is

`(1)/(4)+(1)/(3)=(1)/(x)`

Therefore, The required equation is
`(1)/(4)+(1)/(3)=(1)/(x)`

Solving for x,

`(3+4)/(4* 3)=(1)/(x)`

`(7)/(12)=(1)/(x)`

`x=(12)/(7)`

`x=1.71`

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.