Question

If 15 men working a 9 hours a day can reap a field in 16 days , then in how many days will 18 men reap the field working 8 hours a day.​

Answer 1

15 men= 9 hours a day= reap=16 days

18 men= 8 hours a day=reap=?

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Answer 2

Answer:

15 days will be required for 18 men to reap the field working 8 hours a day

Step-by-step explanation:

Given that 15 men working 9 hours a day can reap a field in 16 days

Total work $= 15 \times 16 \times 9\hspace{0.1cm}man-hours$

Let 18 men can working 8 hours a day can reap a field in $x$ days

Total work $= 18 \times x \times 8\hspace{0.1cm}man-hours$

Work is same, thus we get

$18 \times x \times 8 = 15 \times 16 \times 9\\\\ x = \frac {15 \times 16 \times 9}{18 \times 8}\\\\ x = 15\hspace{0.1cm}days$

Hence, 15 days will be required for 18 men to reap the field working 8 hours a day