Machine P can print one lakh books in 8 hours | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Work done per hour by machine $P = \frac{1}{8}$.Work done per hour by machine $Q = \frac{1}{10}$.Work done per hour by machine $R = \frac{1}{12}$.

Vedclass · Accepted Answer

$1.00$ p.m.

Vedclass · Answer

(D) Work done per hour by machine $P = \frac{1}{8}$.Work done per hour by machine $Q = \frac{1}{10}$.Work done per hour by machine $R = \frac{1}{12}$.All three machines work together from $9.00$ a.m. to $11.00$ a.m. ($2$ hours).Work done in $2$ hours $= 2 	imes (\frac{1}{8} + \frac{1}{10} + \frac{1}{12}) = 2 	imes (\frac{15+12+10}{120}) = 2 	imes \frac{37}{120} = \frac{37}{60}$.Remaining work $= 1 - \frac{37}{60} = \frac{23}{60}$.Machines $Q$ and $R$ work together to complete the remaining work in $x$ hours.Work done per hour by $Q$ and $R = \frac{1}{10} + \frac{1}{12} = \frac{6+5}{60} = \frac{11}{60}$.$x = \frac{23}{60} \div \frac{11}{60} = \frac{23}{11} = 2 \frac{1}{11}$ hours.$2 \frac{1}{11}$ hours is approximately $2$ hours and $5$ minutes.Starting from $11.00$ a.m.,adding $2$ hours and $5$ minutes gives $1.05$ p.m.,which is approximately $1.00$ p.m.

Similar Questions

$A$ and $B$ complete a job in $12 \text{ days}$,while $A, B$,and $C$ can complete it in $8 \text{ days}$. $C$ alone will finish the job in (in $\text{days}$):

$A$ tyre has two punctures. The first puncture alone would have made the tyre flat in $9 \,minutes$ and the second alone would have done it in $6 \,minutes.$ If air leaks out at a constant rate,how long does it take both the punctures together to make it flat? (in $minutes$)

$A$ can complete a work in $m$ days and $B$ can complete it in $n$ days. How many days will it take to complete the work if both $A$ and $B$ work together?

$A$ certain number of men complete a work in $160\, days$. If there were $38\, men$ more, the work could be finished in $20\, days$ less. How many men were originally there?

$8$ children and $12$ men complete a certain piece of work in $9$ days. If each child takes twice the time taken by a man to finish the work,in how many days will $12$ men finish the same work?

Vedclass Test Series

Exam Paper Generator

Online Exam Module