Question

If two machines can produce 10 boxes in an hour, then find the number of boxes produced by 10 such machines in an hour.

• A. 50 boxes
• B. 10 boxes
• C. 40 boxes
• D. 20 boxes

Answer 1

The correct option is A 50 boxes

The number of boxes (B) produced in an hour is directly proportional to the number of machines (N) used.

$\Rightarrow B\propto N$

Let the constant of variation be k.
$\Rightarrow B=kN$

Given, when N = 2, B = 10.
So, $k=\frac{B}{N}=\frac{10}{2}=5.$

Hence, the number of boxes (B) produced by 10 such machines in an hour = kN = (5)(10) = 50 boxes.