Question

P can do a piece of work in $9$ days. Q is $50\%$ more efficient than P. The number of days it takes Q to do the same piece of work is __________.

• A. $13\frac{1}{2}$
• B. $4\frac{1}{2}$
• C. $6$
• D. $3$

Answer 1

The correct option is C $6$

Let the Total work be $=1$

given, P can do a piece of work in $9$ days

P 's $1$ day work $=\frac{1}{9}$

Q is $50\%$ more efficient than P

Q 's 1 day work $=150\%$ of $\frac{1}{9}$

Q 's 1 day work $=\frac{150}{100}\times \frac{1}{9}=\frac{1}{6}$

The number of days taken by Q to do same piece of work $=\frac{\text{total work}}{\text{1 day work}}$

The number of days taken by Q to do same piece of work $=\frac{1}{\frac{1}{6}}$ Days

$=6$ $Days$