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# A new car was sold with new brake linings that were each 0.250 inch th

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Math Expert
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A new car was sold with new brake linings that were each 0.250 inch th  [#permalink]

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29 Nov 2018, 01:12
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:35) correct 26% (01:49) wrong based on 30 sessions

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A new car was sold with new brake linings that were each 0.250 inch thick. After the car had been driven 50,000 miles without replacing any brake linings, the thinnest brake lining was 0.085 inch thick. What was the percent decrease in the thickness of the thinnest brake lining?

A. 34%
B. 52%
C. 66%
D. 74%
E. 94%

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Re: A new car was sold with new brake linings that were each 0.250 inch th  [#permalink]

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29 Nov 2018, 01:20
Initial thickness = 0.250
Thickness after 50,000 = 0.085

Percentage change = $$\frac{Final thickness - Initial thickness}{initial thickness}$$ = 0.250 - 0.085/0.250 = 0.165/0.250 = $$\frac{165}{250}$$*100 = 66%

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Re: A new car was sold with new brake linings that were each 0.250 inch th  [#permalink]

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29 Nov 2018, 01:51
Percentage change = (0.250 - 0.085)/0.250 = 66%(Option C).
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Re: A new car was sold with new brake linings that were each 0.250 inch th  [#permalink]

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30 Nov 2018, 11:38
Bunuel wrote:
A new car was sold with new brake linings that were each 0.250 inch thick. After the car had been driven 50,000 miles without replacing any brake linings, the thinnest brake lining was 0.085 inch thick. What was the percent decrease in the thickness of the thinnest brake lining?

A. 34%
B. 52%
C. 66%
D. 74%
E. 94%

% change : ( .085-.250)/(.250)= option C 66% decrease
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Re: A new car was sold with new brake linings that were each 0.250 inch th  [#permalink]

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30 Nov 2018, 11:53
0.85 is approximately three times of 0.25
So, the thickness reduced to 1/3rd of the original thickness which means reduced of around 66%.

Ans C

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Re: A new car was sold with new brake linings that were each 0.250 inch th   [#permalink] 30 Nov 2018, 11:53
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