Question

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

Answer 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.