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: A sport utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant proportionality of miles per gallon?
A. 372.4
B. 13.8
C. 27.6
D. 5,409.6
Answer Explanation
The constant of proportionality is the distance traveled divided by gallons of gas consumed
Constant of proportionality = 386.4 miles/14 gallons = 27.6 miles per gallon.
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Q #2: Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot not be altered?
A. 125
B. 64
C. 18
D. 92
Answer Explanation
Number of boxes in the room is equal to the volume of the room divided by the volume of one box
Volume of the room=9 ft*9 ft*9 ft= 729 ft3
Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3
Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes
Thus, the room can store 91.125 boxes, which is about 92 boxes
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Q #3: 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:
