2 women and 5 men can together finish an embroidery work in 4 days, while 3
women and 6 men can finish it in 3 days. Find the time taken by 1 woman aloneto
finish the work, and also that taken by I man alone.
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Step-by-step explanation:
Let the work done by man and woman per day be x and y respectively.
When the work is completed in 4 days
Since 5 men and 2 women complete the work in 4 days
therefore work done by 5 men and 2 women in 1 day = 41
∴5x+2y=41⟶eqn1
When the work is completed in 3 days
Since 6 men and 3 women complete the work in 3 days
therefore work done by 6 men and 3 women in 1 day = 31
∴6x+3y=31⟶eqn2
Multiplying by 3 in eqn1, we get
⇒15x+6y=43⟶eqn3
Multiplying by 2 in eqn2, we get
⇒12x+6y=32⟶eqn4
On subtracting eqn 4 from eqn 3, we get
⇒15x+6y−12x−6y=43−32
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