An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
A. 7 minutes
B. 8 minutes
C. 7.5 minutes
D. 8.5 minutes
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.
Total distance=4+4=8 miles
Total time=28+32 =60 minutes
From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.
So, the athlete covers 1 mile in 7.5 minutes.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: How may milliliters are there in 0.5 liters?
A. 500
B. 50
C. 5
D. 5000
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
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Q #2: 4(x-5)=8 Solve the equation above for x. Which of the following is the correct answer?
A. ¾
B. 3 ¼
C. -3
D. 7
Answer Explanation
In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 4
Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation
Thus, the value of x is 7.
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Q #3: Which of the following is the greatest value?
A. 34÷96
B. 3/8
C. 0.372
D. 37%
Answer Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
34÷96=
3/8=3/8
0.372=372/1000
37%=37/100
Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:
17/48*6000=2125
3/8*6000=2250
372/1000*6000=2232
37/100*6000=2220
From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48. Thus, the greatest value is 3/8.
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Q #4: The data below represents students’ test scores. Which of the following is the median of the set data? 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13
A. 15
B. 12
C. 14
D. 15.8
Answer Explanation
the median of a data set is the element that is found on the middle position. It is found by organizing the elements from the smallest to largest.
The data set above arranged from the smallest to largest is:
11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26
The number of elements is odd and the median is found in the (N+1)/2 th position. Here N=11, and the median falls in (11+1)/2=12/2=6 th position.
The element 14 falls in the 6th position, which is our median of the given data set.
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Q #5: A nurse earns $800.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 Social Security tax. How much will the nurse make in 4 weeks after taxes are deducted?
A. $2,600.00
B. $3,000.00
C. $2,400.00
D. $2,800.00
Answer Explanation
we need to find the net income of the nurse in 4 weeks from the weekly net income.
Weekly net income=gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(83.00+38.00+79.00)
Total tax=$200.00
Weekly net income=$(800.00-200.00)=$600.00
In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:
The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.
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Q #6: Which of the following percentages is equivalent to the fraction below? 5/8
A. 1.6%
B. 6.25%
C. 62.5%
D. 160%
Answer Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is
Thus, 5/8 is equal to 62.5%.
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Q #7: A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
A. $51
B. $36
C. $22
D. $65
Answer Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
Mark off value=mark off rate*original price
Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,
Thus, the approximate selling price of the sweater is $65.
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Q #8: Five less than twice a number Which of the following translates the phrase above into a mathematical expression?
A. 5x-2
B. 2-5x
C. 5-2x
D. 2x-5
Answer Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
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Q #9: A class of 28 students has 13 boys and 15 girls. What is ratio of girls to boys in the class?
A. 15:28
B. 13:15
C. 13:28
D. 15:13
Answer Explanation
a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:
In ratio form, girls: boys=15:13
Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.
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Q #10: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb =1 kg)
A. 110 lb
B. 220 lb
C. 52.2 lb
D. 22.7 lb
Answer Explanation
We asked to convert kg to pounds. There are two ways of converting between kg and pounds
And
Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:
Thus, 50 kg is equal to 110 lb.
