During raining season, huge inflow of water takes place into a reservoir. Measures are taken to clear the reservoir while water keeps flowing into it at a constant rate, it has been observed that seven and five men can clear the reservoir in 20 and 50 days respectively with the initial quantity of water in the reservoir being 24 and 36 kilometers respectively. What is the rate of inflow of water into the reservoir in liters per day?

480

Let the inflow of water = x

\(\frac{M_1D_1}{W_1}\) = \(\frac{M_2D_2}{W_2}\)

⇒ \(\frac{7 × 20}{24 + 20x}\) = \(\frac{5 × 50}{36 + 50x}\)

14 × 36 + 14 × 50x = 25 × 24 + 25 × 20x

504 + 700 x = 600 + 500 x

         200 x = 96

              x =\(\frac{96}{200}\) kilo letres/day

              x = \(\frac{96}{200}\) × 1000 = 480 litres/day