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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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