Question

24 workers working 8 hours a day can finish a piece of work in 10 days find the number of worker required to finish the work in 6 days 10 hours a day​

Answer 1

Answer:

32 workers are required to finish the work in 6 days 10 hours a day

Step-by-step explanation:

Given that 24 workers working 8 hours a day can complete work in 10 days

24 workers working for 8 hours means

$24 \times 8 = 192\hspace{0.1cm}man-hours\hspace{0.1cm}per\hspace{0.1cm}day$

Then, 24 workers work for 10 days means

$192 \times 10 = 1920\hspace{0.1cm}man-hours$

Thus, total work $=\hspace{0.1cm}1920\hspace{0.1cm}man-hours$

Now, let $x$ workers are required to finish the work in 6 days 10 hours a day

Thus,

$Total\hspace{0.1cm}work\hspace{0.1cm}=x \times 6 \times 10\hspace{0.1cm}man-hours\\\\60x = 1920\\\\x=\frac{1920}{60}=32\hspace{0.1cm}workers$

Hence, 32 workers are required to finish the work in 6 days 10 hours a day

Answer 2

Answer:

Step by step solutions is been provided upside