Question

A machine can produce 6 yards of fabric in two minutes. How much fabric can the machine produce in 1 hour?

Answer 1

Given:

A machine can produce 6 yards of fabric in two minutes.

To Find:

How much fabric can the machine produce in 1 hour?

Solution:

$\mathbf{\textrm{Number of yards in two minute }(N_{1})=6}$

$\mathbf{\textrm{Time }(T_{1})=2 \ minute}$

$\mathbf{\textrm{Number of yards in 60 minute }(N_{2})=?}$

$\mathbf{\textrm{Time }(T_{2})=60 \ minute}$

As time increase number of production of yards is also increase. So it is case of direct proportion:

$\mathbf{\dfrac{N_{2}}{T_{2}}=\dfrac{N_{1}}{T_{1}}}$

On putting respective value in above equation:

$\mathbf{\dfrac{N_{2}}{60}=\dfrac{6}{2}}$

$\mathbf{\dfrac{N_{2}}{60}=3}$

So:

$\mathbf{N_{2}=3\times 60 =180}$

It means number of production of yards in 1 hours is 180.

Answer 2

Answer:

6 yards in 2 minute

3 yards in 1 minute

60 ×3 = 180 yards in 1hr