Question

2 men and 3 boys can do a job in 10 days. 3 men and 2 boys do the same job in 8 days. In how many days 2 men and 1 boy can do that job

Answer 1

• 2 men and 3 boys = 10 days.

Thus, 20 men and 30 boys = 1 day......(i)

• 3 men and 2 boys = 8 days.

Thus, 24 men and 16 boys = 1 day.......(ii)

• Equating (i) and (ii)

20 men + 30 boys = 24 men + 16 boys

4 men = 14 boys

4 men = 14 boys2 men = 7 boys

10 boys = 10 days.

days 2 men and 1 boy = 8 boys.

 8 boys = ( 10 * 10 / 8 ) = 12.5 days.

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@ ANUSHA ❤✌

Answer 2

Step-by-step explanation:

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$\huge{\fbox{\bold{UR\:QUESTION}}}$

$\huge {\mathbf {Q.}}}$

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$\huge{\fbox{\bold{UR\:ANSWER}}}$ ✓

$\Large\bold{given,}$

$\sf \therefore 2 \:men\: and\: 3 \:boys\: = 10\: days.$

$\sf\therefore 3 \:men\: and\: 2\: boys\: do\: the\: same \:job \:in\: 8 \:days$

$\sf therefore,$

$\sf\therefore 20\: men\: and\: 30 \:boys = 1 \:day......(i)$

$\sf\therefore 3 \:men\: and\: 2 \:boys = 8\: days.........\: given$

$\sf\therefore 24 \:men \:and\: 16\: boys\: = 1 \:day.......(ii)$

$\sf\underline\bold{equating\:the\:eq^1\:and\:eq^2}$

$\sf\dashrightarrow denoting\:"M"\: is \:to\:men \:and\:"B" \:for\: boys$

$\sf\therefore 20M+30B=24M+16B$

$\sf\therefore 30B-16B=24M-20krr$

$\sf\therefore 14B=4M$

$\sf\therefore \dfrac{14}{4}$

$\sf\therefore\cancel \dfrac{14}{4}$

$\sf\therefore \dfrac{7}{2}$

$\sf\therefore 2M=7B$

$\sf\implies 1B\:2M \:can \:do\:the\:job\:in,$

$\sf\therefore\star 2 M \:and\: 1 B = 8 \:days$

$\sf\implies 10 \times \dfrac{10}{8}$

$\sf\implies \dfrac{100}{8}$

$\sf\implies \cancel\dfrac{100}{8}$

$\sf\implies \dfrac{25}{2}$

$\sf\implies =12.5 days$

$\sf{\fbox{total days needed is=12 \dfrac{1}{2}}}$

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$large{\text{BE \:BRAINLY}}$

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