Working together, jack and Ming can tar a roof in 6.16 hours. Had she done it alone it would have taken Ming 11 hours. Find how long it would take jack to do it alone

Respuesta :

Answer:

14 hours

Step-by-step explanation:

Jack and Ming can togrther tar a roof in 6.16 hours.

In 1 hour they can tar 1/6.16 of the roof.

Ming alone can tar the roof in 11 hours.

So in 1 hour he can tar 1/11 of the roof.

Let the number of hours taken by Jack to tar the roof = x

Then in 1 hour Jack can tar 1/x of the roof.

=> [tex]\[\frac{1}{x}+\frac{1}{11}=\frac{1}{6.16}\][/tex]

=> [tex]\[\frac{1}{x}=\frac{4.4}{61.6}\][/tex]

=> x=14

Jack will take 14 hours to tar the roof alone.