Question 51

15 men can do a work in 15 days working 8 hours a day. N men can do twice the work in 20 days working 10 hours a day. What is the value of N?

Solution

$$\frac{men_{_1}\times\ days_{_1}\times\ time_{_1}}{work_{_1}}\ =\ \frac{men_{_2}\times\ days_{_2}\times\ time_{_2}}{work_{_2}}$$
15 men can do a work in 15 days working 8 hours a day. N men can do twice the work in 20 days working 10 hours a day.

$$\frac{15\times\ 15\times\ 8}{1}\ =\ \frac{N\times20\times10}{2}$$

$$15\times 15\times 8 = N\times100$$

$$1800 = 100N$$

So N = 18


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