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The following week they gave another exam. Tina knows she can grade 60 exams in 2 hours
and Renee can grade 60 exams in 1.5 hours. How long will it take for them to grade all 60 exams
working together?


Sagot :

Answer:

1 1/6 hours

Step-by-step explanation:

Add them together 2 + 1.5 = 3.5

Multiply them together 2 x 1.5 = 3

Take first number and divide by 2nd 3.5 / 3 = 7/6 or 1 1/6 hours

Answer: 6/7 hours

What is the formula for rate of work ?

The formula for the rate of work is,

[tex]\frac{1}{T} =\frac{1}{T_a} +\frac{1}{T_b}[/tex]

[tex]T_a[/tex] is the time taken by an individual a to complete a task.

[tex]T_b[/tex] is the time taken by an individual a to complete a task.

[tex]T[/tex] is the time taken by a and b to complete a task together.

Here, Tina can grade 60 exams in 2 hours , so, [tex]T_a=2 hours[/tex]

Renee can grade 60 exams in 1.5 hours. So, [tex]T_b=1.5 hours[/tex]

If they work together the time will taken by them,

[tex]\frac{1}{T} =\frac{1}{T_a} +\frac{1}{T_b}[/tex]

[tex]\frac{1}{T} =\frac{1}{2} +\frac{1}{1.5}[/tex]

[tex]\frac{1}{T} =\frac{1.5+2}{1.5*2}[/tex]

[tex]\frac{1}{T}\\\\=\frac{3.5}{3}\\\\=7/6\\\\[/tex]

[tex]T=6/7 hours[/tex]

To learn more about time-work method please follow :https://brainly.ph/question/6000691

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