Data Interpretation Ques 28
Directions : Read the following paragraph carefully and answer the questions given below:
A construction concern has given the details about the number of days taken by five different workers $P, M, V, S$ and $T$ to complete two different works (Work 1 and Work 2). Work 1 is completed by P, M, V, S and T in 7 days, 8 days, 6 days, 5 days and 10 days respectively. Work 2 is completed by $P, M, V, S$ and $T$ in 5 days, 6 days, 8 days, 7 days and 5 days respectively.
If 8 hours are taken per day, then how many hours approximately are needed to complete $\frac{3}{5}$ th of work 1 by the $M, V$ and $S$ working together?
(1) 9 hours and 6 minutes
(2) 10 hours and 36 minutes
(3) 9 hours and 36 minutes
(4) 8 hours and 45 minutes
(5) 10 hours and 16 minutes
Show Answer
Correct Answer: (3)
Solution: (3) Time taken by $M, V$ and $S=$
$1 \div\left(\frac{1}{8}+\frac{1}{6}+\frac{1}{5}\right)$
$=1 \div\left(\frac{15+20+24}{120}\right)$
$=1 \div \frac{59}{120}=\frac{120}{59}$
$\approx 2$ days
$\therefore$ Time taken for $\frac{3}{5}$ th of work
$=\frac{3 \times 2}{5}=1.2$ days
=9.6 hours $=9$ hours $36 min$.
$\frac{3}{5}$ th of work $1=2 \times \frac{3}{5}=1.2$
$\Rightarrow 9.6 \Rightarrow 9$ hours 36 minutes
BETA
