Answered

From science to arts, IDNLearn.com has the answers to all your questions. Get prompt and accurate answers to your questions from our experts who are always ready to help.

Diana can type 100 form lettersin six hours. When Frankie helps,they can do the job in four hours.How long would it take Frankie todo this job alone?[?] hours

Sagot :

Let x be the number of form letters which Frankie can type in an hour.

We know that Diana can type 100/6 = 50/3 form letters in a hour.

Since they can type 100 letters together in four hours, we have:

[tex]\begin{gathered} 4(x+\frac{50}{3})=100 \\ x+\frac{50}{3}=\frac{100}{4} \\ x=25-\frac{50}{3} \\ x=\frac{25}{3} \end{gathered}[/tex]

Therefore, the number of hours needed to Frankie do this job alone is given by:

[tex]\frac{100}{x}=\frac{100}{\frac{25}{3}}=\frac{100\cdot3}{25}=12[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.