Question

) a certain sum of money is sufficient to pay either george wages for 15 days or mark wages for 10 days .For how long will it be sufficient if both george and mark work together ?

Answer 1

Let the Sum of money be x

Now, ATQ 15 days wages of George = x

1 day wage of George = x/15

Also, 10 days wages of Mark = x

1 day wage of Mark = x/10

1 day wages of George and Mark together =

$\frac{x}{15} + \frac{x}{10}$

$\frac{2x+3x}{30}$

$\frac{5x}{30}=\frac{x}{6}$

Number of days for which both can be paid = Total Money ÷ Sum of One day wages of George and Mark

= $x \div \frac{x}{6} = 6 days$

So, If Mark and George work together, the money is sufficient to pay both of them for 6 days.