Question : 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?
Option 1: 14
Option 2: 12
Option 3: 16
Option 4: 18

Question

Question : Working 6 hours a day, Raman can complete a piece of work in 24 days. How many hours a day should he work to finish the work in 18 days?
Option 1: 8 hours
Option 2: 10 hours
Option 3: 12 hours
Option 4: 16 hours

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Answer 1

Correct Answer: 18

Solution : Given :
$M_{1} = 15, D_{1} = 15, H_{1} = 8, W_{1} = 1, M_{2} = N, D_{2} = 20, H_{2} = 10$ and $W_{2} = 2$
Now, putting all values in the equation,
$\frac{M_{1} D_{1} H_{1}}{W_{1}} = \frac{M_{2} D_{2} H_{2}}{W_{2}}$
$\Rightarrow \frac{15 \times 15 \times 8}{1} = \frac{N \times 20 \times 10}{2}$
$\Rightarrow N = \frac{15 \times 15 \times 8 \times 2}{20 \times 10}$
$∴ N = 18$
Hence, the correct answer is 18.

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Question : 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?Option 1: 14Option 2: 12Option 3: 16Option 4: 18

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Question : 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?
Option 1: 14
Option 2: 12
Option 3: 16
Option 4: 18