Answer: it will take them about 24 minutes working together
Step-by-step explanation:
1/40 + 1/60 =
6/240 + 4/240 = 10/240 = 1/24
1/24 = 1/t
Cross multiplication:
1*t = 1*24
t= 24
To solve the problem we must know about the concept of fractions.
The time is taken by Shandra and Kelly to sand a table is 24 min, therefore, the claim made by Shandra is wrong.
A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25
Given to us
The equation that shows the time taken by them to complete the work,
1/40+1/60=1/t
We know that the time taken by Shandra to complete the sanding of the table is 40 minutes. while the time taken by Kelly to complete the work is 60 minutes.
Shandra's claims that it will take them about 50 minutes to work together, is wrong because in 40 minutes Shandra alone can complete the sanding of the table, therefore, she will do extra work in those 10 minutes while the work done by Kelly is not still added to the total work.
Thus, Shandra's claim is wrong.
Time is taken by Shandra and Kelly to complete a table,
[tex]\dfrac{1}{60} + \dfrac{1}{40} = \dfrac{1}{t}\\\\\dfrac{60}{2400} + \dfrac{40}{2400} = \dfrac{1}{t}\\\\t = 24 \rm\ min[/tex]
Hence, the time is taken by Shandra and Kelly to sand a table is 24 min, therefore, the claim made by Shandra is wrong.
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