4 men and 6 women earn Rs. , 1600 by doing a | vedclass

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

Question

(B) Let $M$ be the daily wage of a man and $W$ be the daily wage of a woman.In $5$ days,$(4M + 6W) 	imes 5 = 1600 \Rightarrow 4M + 6W = 320$ (Equatio

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(B) Let $M$ be the daily wage of a man and $W$ be the daily wage of a woman.In $5$ days,$(4M + 6W) 	imes 5 = 1600 \Rightarrow 4M + 6W = 320$ (Equation $1$).In $6$ days,$(3M + 7W) 	imes 6 = 1740 \Rightarrow 3M + 7W = 290$ (Equation $2$).Multiplying Equation $1$ by $3$ and Equation $2$ by $4$:$12M + 18W = 960$$12M + 28W = 1160$Subtracting the first from the second: $10W = 200 \Rightarrow W = 20$.Substituting $W = 20$ into Equation $1$: $4M + 6(20) = 320 \Rightarrow 4M + 120 = 320 \Rightarrow 4M = 200 \Rightarrow M = 50$.Daily wage of $7$ men and $6$ women $= 7(50) + 6(20) = 350 + 120 = 470$.Number of days required to earn $Rs. \, 3760 = \frac{3760}{470} = 8$ days.

$4$ men and $6$ women earn $Rs. \, 1600$ by doing a piece of work in $5$ days. $3$ men and $7$ women earn $Rs. \, 1740$ by doing the same work in $6$ days. In how many days can $7$ men and $6$ women complete the same work while earning $Rs. \, 3760$?

Similar Questions

$10$ men and $15$ women together can complete a work in $6$ days. It takes $100$ days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?

If $3$ men or $5$ women can reap a field in $43$ days,how long will $5$ men and $6$ women take to reap it? (in days)

$A, B$ and $C$ can do a job in $6$ days,$12$ days and $15$ days,respectively. After $\frac{1}{8}$ of the work is completed,$C$ leaves the job. The rest of the work is done by $A$ and $B$ together. The total time taken to finish the work is (in days):

Kamal can do a work in $15$ days. Sita is $50$ percent more efficient than Kamal in doing the work. In how many days will Sita do that work?

$A$ and $B$ can complete a piece of work in $12$ and $18 \text{ days}$ respectively. $A$ begins to do the work and they work alternatively one at a time for $1 \text{ day}$ each. The whole work will be completed in (in $\text{days}$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module