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Problem Solving (PS) | Re: A promotional video that lasts w minutes has 3 segments which last x

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Bunuel wrote:

A promotional video that lasts w minutes has 3 segments which last x, y, and z minutes, respectively. A celebrity host narrates 1/3 of the first segment, 1/2 of the second segment, and 1/2 of the third segment. If 3x = 3y = z, what fraction of the w-minute video does the celebrity host narrate?

A. 1/4

B. 4/15

C. 3/7

D. 4/9

E.7/15


\( 3x = 3y =z\)

We can infer that the value of x and y is the same.

Time the celebrity host narrates =\(\frac{ x }{3} +\frac{ y }{2} +\frac{ z }{2}\)

=\(\frac{ x }{3} +\frac{ x }{2} +\frac{ 3x }{2}\) =\(\frac{7x}{3}\)

Total Duration =\( x + x + 3x =5x\)

Required Ratio=\(\frac{ 7x}{3 *5x}\) =\(\frac{7}{15}\)

OptionE
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Statistics : Posted by gmatophobia • on 10 Aug 2023, 09:00 • Replies 1 • Views 68



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