A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hr by herself and person B is able to mow in lawn in 3 hr by himself. Which of the following is the amount of time it would take for both person A and B to mow the lawn together?
A. 5 hours
B. 2.5 hours
C. 1.2 hours
D. 1 hours
We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:
Rate of work for person A = 1 /2 work per hr
Rate of work for person B=1/3 work per hour
If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B
We have 1 work and time to complete by both A and B becomes
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Which of the following percentages is equivalent to 5 ¼ ?
A. 525%
B. 514%
C. 5.25%
D. 5.14%
Answer Explanation
The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.
Convert 5 ¼ into improper faction as follows
So, the percent equivalent is:
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Q #2: (x/y)-z=rw Solve for x in the equation above.
A. X=y(z+rw)
B. X=rw(y-z)
C. X=rwy+z
D. X=rwy-z
Answer Explanation
Given the equation (x/y)-z=rw, we make x the subject of the formula as follows:
(x/y)-z=rw
Add z to both sides of the equation
(x/y)-z+z=rw+z
(x/y)=rw+z
Multiply both sides by y
(x/y)*y=y(rw+z)
X=y(rw+z)
Rearranging the equation results in:
X = y(z+rw)
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Q #3: Which of the following values is the greatest?
A. 4.25
B. 10/3
C. 4.4
D. 9/2
Answer Explanation
To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.
10/3=3.3333…..
9/2=4.5
Thus, the numbers become 4.25, 3.333…, 4.4, 4.5
Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5
From the above, 4.5 is the greatest value.
