Question

a machine in a soft drink factory fills 840 bottles in six hours, how many bottles will it fills in five hours? ​

Answer 1

Answer:

700 bottles

Step-by-step explanation:

6hours=840 bottles

5hours=?

6hours=360min

5hours=300min

360min=840bottles

300min=?

?×360=300×840

?=300×840/360

?=700 bottles

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

A machine in a soft drink factory fills 840 bottles in six hours.

Now, we have to find how many bottles will it fills in five hours.

Since, number of hours reduces, so less number of bottles filled in required time.

So, it means, less time, so less number of bottles filled.

So, time and number of bottles are in direct variation.

Let assume that number of bottles filled in 5 hours be x

Thus,

$\begin{array}{|c|c|c|c} \hline \rm Number \: of \: bottles&\rm 840&\rm x \\ \hline\rm Time \: taken \: (in \: hrs)&\rm 6&\rm 5 \\ \hline \end{array}$

Now, using law of direct variation, we have

$\rm \: \dfrac{840}{6} = \dfrac{x}{5}$

$\rm \: 140 = \dfrac{x}{5}$

$\rm\implies \:x = 700$

So, 700 bottles filled in 5 hours.

$\rule{190pt}{2pt}$

Alternative Method :-

$\rm \: In\:6\:hours,\:number\:of\:filled = 840$

So,

$\rm \: In\:1\:hours,\:number\:of\:filled = \frac{840}{6} = 140$

Thus,

$\rm \: In\:5\:hours,\:number\:of\:filled = 140 \times 5 = 700$