(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

If $16$ men or $20$ women can do a piece of work in $25$ days,in what time will $28$ men and $15$ women do it? (in days)

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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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$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. Then,working together,what part of the same work can they finish in a day?

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$10$ men can complete a piece of work in $15$ days and $15$ women can complete the same work in $12$ days. If all the $10$ men and $15$ women work together,in how many days will the work be completed?

Medium

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$A$ work can be completed by $P$ and $Q$ in $12$ days,$Q$ and $R$ in $15$ days,and $R$ and $P$ in $20$ days. In how many days can $P$ alone finish the work?

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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

If $16$ men or $20$ women can do a piece of work in $25$ days,in what time will $28$ men and $15$ women do it? (in days)

$A$ 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 $days$)

$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. Then,working together,what part of the same work can they finish in a day?

$10$ men can complete a piece of work in $15$ days and $15$ women can complete the same work in $12$ days. If all the $10$ men and $15$ women work together,in how many days will the work be completed?

$A$ work can be completed by $P$ and $Q$ in $12$ days,$Q$ and $R$ in $15$ days,and $R$ and $P$ in $20$ days. In how many days can $P$ alone finish the work?

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