(D) Let $R$ and $H$ be the daily work rates of Ram and Hari in $kg/day$.Given: $(R + H) \times 2 = 12 \, kg \implies R + H = 6 \, kg/day$.In $5$ days,

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(D) Let $R$ and $H$ be the daily work rates of Ram and Hari in $kg/day$.Given: $(R + H) \times 2 = 12 \, kg \implies R + H = 6 \, kg/day$.In $5$ days, they cut: $5 \times 6 = 30 \, kg$.Remaining nuts: $58 - 30 = 28 \, kg$.Ram cut these $28 \, kg$ in $8$ days, so Ram's rate $R = \frac{28}{8} = 3.5 \, kg/day$.Since $R + H = 6$, then $H = 6 - 3.5 = 2.5 \, kg/day$.Time taken by Hari to cut $10 \, kg$ of nuts $= \frac{10}{2.5} = 4 \, days$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

Ram and Hari can cut $12 \, kg$ of nuts in $2 \, days$. After $5 \, days$, Hari left the work. Ram took $8$ more days to cut the rest of the nuts. If a total of $58 \, kg$ of nuts were cut, the time taken by Hari to cut $10 \, kg$ of nuts is (in days):

A
$1$
B
$2$
C
$3$
D
$4$

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Time and Work and Wages

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Time and Work

$A$ can do a certain work in the same time in which $B$ and $C$ together can do it. If $A$ and $B$ together could do it in $10$ days and $C$ alone in $50$ days,then $B$ alone could do the work in (in days)

Medium

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Twenty women can do a work in $16$ days. Sixteen men can complete the same work in $15$ days. What is the ratio between the capacity of a man and a woman?

Medium

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$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

Medium

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$A$ and $B$ can do a work in $45 \text{ days}$ and $40 \text{ days}$,respectively. They began the work together,but $A$ left after some time and $B$ completed the remaining work in $23 \text{ days}$. After how many days of the start of the work did $A$ leave?

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$A$ is thrice as good a workman as $B$ and therefore is able to finish a job in $60\, days$ less than $B.$ Working together,they can do it in (in $days$)

Medium

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Ram and Hari can cut $12 \, kg$ of nuts in $2 \, days$. After $5 \, days$, Hari left the work. Ram took $8$ more days to cut the rest of the nuts. If a total of $58 \, kg$ of nuts were cut, the time taken by Hari to cut $10 \, kg$ of nuts is (in days):

Similar Questions

$A$ can do a certain work in the same time in which $B$ and $C$ together can do it. If $A$ and $B$ together could do it in $10$ days and $C$ alone in $50$ days,then $B$ alone could do the work in (in days)

Twenty women can do a work in $16$ days. Sixteen men can complete the same work in $15$ days. What is the ratio between the capacity of a man and a woman?

$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

$A$ and $B$ can do a work in $45 \text{ days}$ and $40 \text{ days}$,respectively. They began the work together,but $A$ left after some time and $B$ completed the remaining work in $23 \text{ days}$. After how many days of the start of the work did $A$ leave?

$A$ is thrice as good a workman as $B$ and therefore is able to finish a job in $60\, days$ less than $B.$ Working together,they can do it in (in $days$)

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