Question

1. Aaditi alone can stich a shirt in 4 hours and Madhvi alone can stich a shirt in 6 hours. Howmuch time would they take working together to stich.
(i) One shirt
(ii) 15 shirts
Only Give me Correct Answer Other Wise I will report you​

Answer 1

Answer:

i) 2 upon 2/5 hours

ii) 36 hours

iii)

Answer 2

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• Aaditi alone can stitch a shirt in 4 hours

• Madhvi alone can stitch a shirt in 6 hours

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• Time would they take working together to stitch

• (i) One shirt
• (ii) 15 shirts

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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• Let they take 'x' hours to stitch one shirt while working together

• Let they take 'y' hours to stitch 15 shirts while working together

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$\underline{\bold{\texttt{One hour work of Aaditi :}}}$

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➜ $\sf \dfrac { 1 } { 4 }$

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$\underline{\bold{\texttt{One hour work of Madhvi :}}}$

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➜ $\sf \dfrac { 1 } { 6}$

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$\underline{\bold{\texttt{One hour work when they both work together :}}}$

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➜ $\sf \dfrac { 1 } { 4 } + \dfrac { 1 } { 6 }$

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➜ $\sf \dfrac { 3 + 2 } { 12 }$

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➜ $\sf \dfrac { 5 } { 12 }$

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$\underline{\bold{\texttt{'x' hour work when they work together :}}}$

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➜ $\sf \dfrac { 5 } { 12 } \times x$

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As we assumed , they would take 'x' hours to stitch one shirt while working together

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So,

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➜ $\sf \dfrac { 5 } { 12 } \times x = 1$

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➜ $\sf x = \dfrac { 12 } { 5 }$

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➨ $\sf x = 2.4$

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• Hence they take '2.4' hours to stitch one shirt while working together

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$\underline{\bold{\texttt{'y' hour work when they work together :}}}$

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➜ $\sf \dfrac { 5 } { 12 } \times y$

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As we assumed, they would take 'y' hours to stitch 15 shirts while working together

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So,

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➜ $\sf \dfrac { 5 } { 12 } \times y = 15$

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➜ $\sf y = \dfrac { 15 \times 12 } { 5 }$

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➜ $\sf y = 3 \times 12$

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➨ $\sf y = 36$

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• Hence they take '36' hours to stitch 15 shirts while working together

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∴ While working together they can stitch 1 and 15 shirts in 2.4 & 36 hours respectively