2 men and 4 boys can do a piece of work in 10 | vedclass

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

Question

(B) Let the efficiency of a man be $m$ and a boy be $b$.Given that $(2m + 4b) 	imes 10 = (4m + 5b) 	imes 6$.Expanding the equation: $20m + 40b = 24m

Vedclass · Accepted Answer

$5:2$

Vedclass · Answer

(B) Let the efficiency of a man be $m$ and a boy be $b$.Given that $(2m + 4b) 	imes 10 = (4m + 5b) 	imes 6$.Expanding the equation: $20m + 40b = 24m + 30b$.Rearranging the terms: $40b - 30b = 24m - 20m$.This simplifies to $10b = 4m$,or $2m = 5b$.Since wages are paid according to output (efficiency),the ratio of wages is equal to the ratio of their daily work output.Given the daily wage of a man is $Rs. 40$,we have $2 	imes 40 = 5b$.$80 = 5b$,which gives $b = 16$.The ratio of daily wages of a man to a boy is $40 : 16$.Dividing both by $8$,we get $5 : 2$.

$2$ men and $4$ boys can do a piece of work in $10$ days,while $4$ men and $5$ boys can do it in $6$ days. Men and boys are paid wages according to their output. If the daily wage of a man is $Rs. 40$,then the ratio of daily wages of a man and a boy will be

Similar Questions

Ramesh takes twice as much time as Mahesh and thrice as much time as Suresh to complete a job. If working together,they can complete the job in $4 \, \text{days}$,then the time taken by each of them separately to complete the work is (in $\text{days}$)

$A$ can do a piece of work in $30$ days while $B$ can do it in $40$ days. In how many days can $A$ and $B$ working together do it?

$A$ contractor undertakes to dig a canal $12 \, km$ long in $350 \, days$ and employs $45$ men. After $200 \, days$ he finds that only $4.5 \, km$ of the canal has been completed. Find the number of extra men he must employ to finish the work in time (in $men$).

$A$ 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?

$A$ and $B$ can complete a piece of work in $45$ and $40$ days,respectively. They began the work together,but $A$ leaves after some days and $B$ completed the remaining work in $23$ days. After how many days did $A$ leave?

Vedclass Test Series

Exam Paper Generator

Online Exam Module