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qsb38
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­The average speed of train A is at least 70 miles per hour and at 06 Jun 2024, 13:58
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45% (medium)

Question Stats:

72% (01:39) correct 28% (01:47) wrong based on 615 sessions

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­The average speed of train A is at least 70 miles per hour and at most 100 miles per hour. Which of the following inequalities represents all the possible values of the average speed, s, of the train?

(A) |s – 15| ≥ 85
(B) |s – 15| ≤ 85
(C) |s – 85| < 15
(D) |s – 85| ≤ 15
(E) |s – 85| ≥ 15­
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D
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Bunuel
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­The average speed of train A is at least 70 miles per hour and at 06 Jun 2024, 14:01
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qsb38
­The average speed of train A is at least 70 miles per hour and at most 100 miles per hour. Which of the following inequalities represents all the possible values of the average speed, s, of the train?

(A) |s – 15| ≥ 85
(B) |s – 15| ≤ 85
(C) |s – 85| < 15
(D) |s – 85| ≤ 15
(E) |s – 85| ≥ 15­
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­Can you please share the exact source of the question? Thank you.
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qsb38
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­The average speed of train A is at least 70 miles per hour and at 06 Jun 2024, 14:17
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Bunuel

qsb38
­The average speed of train A is at least 70 miles per hour and at most 100 miles per hour. Which of the following inequalities represents all the possible values of the average speed, s, of the train?

(A) |s – 15| ≥ 85
(B) |s – 15| ≤ 85
(C) |s – 85| < 15
(D) |s – 85| ≤ 15
(E) |s – 85| ≥ 15­
­Can you please share the exact source of the question? Thank you.
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­Hi, I came across this question while going through a random mock test a while back. I will check and let you know.
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nikaro
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­The average speed of train A is at least 70 miles per hour and at 07 Jun 2024, 20:32
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­Just solve each of the options.
D will give -15<= s-85<=15 
i.e 70<=s<=100 which is given in the question
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ajbhutani96
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­The average speed of train A is at least 70 miles per hour and at 22 Jun 2024, 11:53
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Why is B not the answer? I seem to be getting the same values of as D when I solve B.
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btsaami
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­The average speed of train A is at least 70 miles per hour and at 01 Jul 2024, 06:25
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ajbhutani96
Why is B not the answer? I seem to be getting the same values of as D when I solve B.
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Hi,
Here the first condition meets.
S-15<=85. hence, s<=100

But when you take the negative side i.e. -(S-15)<=85
It changes to S-15>=-85. Therefore, S>=-70 which cannot be possible as per given condition.

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­The average speed of train A is at least 70 miles per hour and at 11 Jul 2025, 09:59
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Mid point = (70+100)/2=85
Distance = (100-70)/2 = 15
|s-Mid point|<=Distance
|s – 85| ≤ 15
qsb38
­The average speed of train A is at least 70 miles per hour and at most 100 miles per hour. Which of the following inequalities represents all the possible values of the average speed, s, of the train?

(A) |s – 15| ≥ 85
(B) |s – 15| ≤ 85
(C) |s – 85| < 15
(D) |s – 85| ≤ 15
(E) |s – 85| ≥ 15­
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­The average speed of train A is at least 70 miles per hour and at 22 Mar 2026, 11:17
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Deconstructing the Question

We are given

\(70 \le s \le 100\)

We want to rewrite this interval using absolute value.

Step-by-step

Find the midpoint of the interval

\(\frac{70+100}{2} = 85\)

Find the distance from the midpoint

\(100 - 85 = 15\)

So the interval can be written as

\(|s - 85| \le 15\)

Answer D: |s - 85| ≤ 15
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DrTushita
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­The average speed of train A is at least 70 miles per hour and at 03 Apr 2026, 23:39
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i did the exact same mistake
ajbhutani96
Why is B not the answer? I seem to be getting the same values of as D when I solve B.
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