Working simultaneously and independently at an identical constant rate, four machines of a certain type can produce a total of x units of product P in 6 days.How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product Pin 4 days?

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Solution

The correct option is C 18
If 4 machines produce " $x$ " units in 6 days.
So, 1 machine produces " $x / 24$ " units in 1 day.
So, N machines produce N X ( $x$ /24) in a day.
In 4 days they will make (4N $x$ /24) units.
So , to make $3 x$ units, they will need
$N x / 6$ = $3 x$
$\to$ $N = 18$ Option B

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The correct option is C 18If 4 machines produce "x" units in 6 days.So, 1 machine produces "x/24" units in 1 day.So, N machines produce N X (x/24) in a day.In 4 days they will make (4Nx/24) units.So , to make 3x units, they will needNx/6 = 3x→ N=18 Option B