A, B and C can do a piece of work in 30, 20 a | vedclass

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

Question

(A) Work done by $A$ in $1$ day $= 1/30$,$B$ in $1$ day $= 1/20$,$C$ in $1$ day $= 1/10$.Day $1$: $(A+B)$ work $= 1/30 + 1/20 = (2+3)/60 = 5/60 = 1/12

Vedclass · Accepted Answer

$9 \frac{3}{8}$

Vedclass · Answer

(A) Work done by $A$ in $1$ day $= 1/30$,$B$ in $1$ day $= 1/20$,$C$ in $1$ day $= 1/10$.Day $1$: $(A+B)$ work $= 1/30 + 1/20 = (2+3)/60 = 5/60 = 1/12$.Day $2$: $(A+C)$ work $= 1/30 + 1/10 = (1+3)/30 = 4/30 = 2/15$.Work done in a cycle of $2$ days $= 1/12 + 2/15 = (5+8)/60 = 13/60$.In $8$ days ($4$ cycles),work done $= 4 	imes (13/60) = 52/60 = 13/15$.Remaining work $= 1 - 13/15 = 2/15$.Day $9$: $(A+B)$ work $= 1/12$. Remaining work $= 2/15 - 1/12 = (8-5)/60 = 3/60 = 1/20$.Day $10$: $(A+C)$ work $= 2/15$. Time taken by $(A+C)$ to finish $1/20$ work $= (1/20) / (2/15) = 15/40 = 3/8$ days.Total time $= 8 + 1 + 3/8 = 9 \frac{3}{8}$ days.

$A, B$ and $C$ can do a piece of work in $30, 20$ and $10$ days respectively. $A$ is assisted by $B$ on one day and by $C$ on the next day,alternately. How long would the work take to finish? (in days)

Similar Questions

$A, B$ and $C$ together earn $Rs. 2700$ in $18$ days. $A$ and $C$ together earn $Rs. 940$ in $10$ days. $B$ and $C$ together earn $Rs. 1520$ in $20$ days. Find the daily earning of $C$ (in $Rs.$).

$A$ certain sum of money is sufficient to pay wages for $21$ days of $X$ or $28$ days of $Y$. The money is sufficient to pay the wages of both for ........ days.

$A$ and $B$ can complete a piece of work in $45$ and $40$ days respectively. Both started to work together,but after some days $A$ left and $B$ alone completed the remaining work in $23$ days. For how many days did $A$ work?

$A$ farmer can plough a field working $6 \text{ hours per day}$ in $18 \text{ days}$. How many $\text{hours per day}$ must the farmer work to finish the same work in $12 \text{ days}$?

If $x$ men can do a piece of work in $x$ days,then the number of days in which $y$ men can do the same work is (in days)

Vedclass Test Series

Exam Paper Generator

Online Exam Module