7 men build a house in 300 days. How many men, working at the same rate, can build house in 70 days?

Question

UpStudy AI · Accepted Answer

Let the total work to build one house be represented by the number of man-days required.

1. Since 7 men build a house in 300 days, the total work is:
   $$
   W = 7 \times 300 = 2100 \text{ man-days}
   $$

2. To build the same house in 70 days, let $$ m $$ be the number of men required. Then:
   $$
   m \times 70 = 2100
   $$

3. Solving for $$ m $$:
   $$
   m = \frac{2100}{70} = 30
   $$

Thus, $$ \boxed{30} $$ men are needed to build the house in 70 days.
30 men are needed to build the house in 70 days.

Upstudy AI Solution