A man completes $$\frac{5}{8}$$ of a job in 10 days. At this rate, how many more days will it take him to finish the job ?
A. 5
B. 6
C. 7
D. $${\text{7}}\frac{1}{2}$$
Answer: Option B
Solution(By Examveda Team)
Work done = $$\frac{5}{8}$$Balance work $$ = \left( {1 - \frac{5}{8}} \right)$$ $$ = \frac{3}{8}$$
Less work, Less days ( Direct proportion)
Let the required number of days be x
Then,
$$\eqalign{ & \Leftrightarrow \frac{5}{8}:\frac{3}{8}::10:x \cr & \Leftrightarrow \frac{5}{8} \times x = \frac{3}{8} \times 10 \cr & \Leftrightarrow x = \left( {\frac{3}{8} \times 10 \times \frac{8}{5}} \right) \cr & \Leftrightarrow x = 6 \cr} $$
Related Questions on Chain Rule
A. Rs. $$ {\frac{{{\text{xy}}}}{{\text{d}}}} $$
B. $${\text{Rs}}{\text{.}} {xd} $$
C. $${\text{Rs}}{\text{.}} {yd} $$
D. Rs. $$ {\frac{{{\text{yd}}}}{{\text{x}}}} $$
A. $$29\frac{1}{5}$$
B. $$37\frac{1}{4}$$
C. 42
D. 54
Join The Discussion