Question

Riya went to see two one act plays with an intrmission of 1/6 hours the evening lasted 2 whole 1/2 hours. The first play was 1 whole 1/4 hours long. How long did the second play last?

Riya went to see two one act plays with an intermission of 1/6hours the evening lasted 2whole 1/2hours. The first play was 1whole 1/4hours long. How long did the second play last?

Answer 1

Answer:

$1\dfrac{1}{12}$ hours long

Step-by-step explanation:

Let x represent the length of the second one act play.

The breakdown of the two plays and the intermission is given by the following equation

$x+\dfrac{5}{4}+\dfrac{1}{6}=\dfrac{5}{2}$.

Solving for x, we get,

$x=\dfrac{5}{2}-\dfrac{5}{4}-\dfrac{1}{6}$.

Converting all fractions with the common denominator 12,

$x=\dfrac{30}{12}-\dfrac{15}{12}-\dfrac{2}{12}=\dfrac{13}{12}=1\dfrac{1}{12}$.

So the second one act play is $1\dfrac{1}{12}$ hours long

Answer 2

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