A किसी काम को 12 दिनों में संपन्न करता है। B की कार्यक्षमता A की अपेक्षा 60 प्रतिशत अधिक है तो उस काम को B कितने दिनों में संपन्न करेगा ?

Mathematics
A किसी काम को 12 दिनों में संपन्न करता है। B की कार्यक्षमता A की अपेक्षा 60 प्रतिशत अधिक है तो उस काम को B कितने दिनों में संपन्न करेगा ?

ScanSolve AI Answer

Answer

7.5 days

Step 1: A completes 1 unit of work in 12 days.
A's work rate = 112\frac{1}{12} unit per day.

Step 2: B's capacity is 60% more than A's.
60% = 60100=35\frac{60}{100} = \frac{3}{5}.
B's work rate = (1+35)×112\left(1 + \frac{3}{5}\right) \times \frac{1}{12} unit per day
=85×112= \frac{8}{5} \times \frac{1}{12} unit per day
=860= \frac{8}{60} unit per day
=215= \frac{2}{15} unit per day.

Step 3: Time taken by B to complete 1 unit of work
=1215= \frac{1}{\frac{2}{15}} days
=152= \frac{15}{2} days
=7.5= 7.5 days.

7.5days\boxed{7.5 days}

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Quick Answer

A completes 1 unit of work in 12 days. A's work rate = (1)/(12) unit per day.

A किसी काम को 12 दिनों में संपन्न करता है। B की कार्यक्षमता A की अपेक्षा 60 प्रतिशत अधिक है तो उस काम को B कितने दिनों में संपन्न करेगा ?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: A completes 1 unit of work in 12 days. A's work rate = (1)/(12) unit per day. Step 2: B's capacity is 60% more than A's. 60% = (60)/(100) = (3)/(5). B's work rate = (1 + (3)/(5)) × (1)/(12) unit per day = (8)/(5) × (1)/(12) unit per day = (8)/(60) unit per day = (2)/(15) unit per day. Step 3: Time taken by B to complete 1 unit of work = (1)/(2)15 days = (15)/(2) days = 7.5 days. 7.5 days