Question

10 men can make 20 toys in 12 days working in 12 hours a day. then in how many days can 24 person make 32 toys working 16 hours a day​

Answer 1

AnswEr :

$\bigstar\:\:\boxed{\sf\dfrac{Men_1 \times Days_1 \times Hour_1}{Work_1}=\dfrac{Men_2 \times Days_2 \times Hour_2}{Work_2}}$

$\rule{150}{1}$

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$:\implies\tt \dfrac{Men_1\times Days_1 \times Hour_1}{Work_1}=\dfrac{Men_2 \times Days_2 \times Hour_2}{Work_2}\\\\\\:\implies\tt \dfrac{10 \times 12 \times 12}{20}=\dfrac{24 \times Days \times 16}{32}\\\\\\:\implies\tt \dfrac{12 \times 12}{2}=\dfrac{24 \times Days}{2}\\\\\\:\implies\tt 12 \times 12 = 24 \times Days\\\\\\:\implies\underline{\boxed{\red{\tt Days = 6}}}$

⠀

$\therefore\:\underline{\textsf{It will take \textbf{6 Days} to complete the work.}}$

Answer 2

Answer:

Step-by-step explanation:

Given :-

10 men can make 20 toys in 12 days working in 12 hours a day.

To Find :-

How many days can 24 person make 32 toys working 16 hours a day​.

Formula to be used :-

$\bf\implies\dfrac{Men_1 \times Days_1 \times Hour_1}{Work_1}=\dfrac{Men_2 \times Days_2 \times Hour_2}{Work_2}$

Solution :-

Let the number of days for 2nd work be x.

Putting all the values, we get

$\sf\implies\dfrac{Men_1 \times Days_1 \times Hour_1}{Work_1}=\dfrac{Men_2 \times Days_2 \times Hour_2}{Work_2}$

$\sf\implies\dfrac{10\times12\times12}{20}=\dfrac{24\times x\times16}{32}$

$\sf\implies\dfrac{12\times12}{2}=\dfrac{24\times x}{2}$

$\sf\implies12\times12=24\times x$

$\bf\implies6=x$

Hence, 6 days can 24 person make 32 toys working 16 hours a day​.