Math, asked by kowshikchandra, 11 months ago

Worker W produces n units in 5 hours. Workers V and W, workers independently but at the same time, produce n units in 2 hours.how long would it take V alone to produce n units

Answers

Answered by efimia
1

Answer:

\frac{10}{3}hours

Step-by-step explanation:

Worker W can produce n units in 5 hours.

Therefore worker W can produce in 1 hour=\frac{n}{5} units.

Therefore worker W can produce in 2 hour=\frac{2n}{5} units.

Worker V and W produce n units in 2 hours.

Therefore units produced by V in 2 hours is equal to n units minus units produced by W in 2 hours.

Thus units produced by V in 2 hours=n-\frac{2n}{5}=\frac{5n-2n}{5}=\frac{3n}{5}units.

Therefore units produced by V in one hour=\frac{3n}{10} units.

Time required by V to produce n units=n÷\frac{3n}{10}

=(n×10)÷(3n)=\frac{10}{3} hours.

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