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Question

When Ehsan was preparing to make a tape from some of his favourite songs, he notices that the Hadi's song was 1 minute longer than Bonna's song and Niaj's song was 1 minute less than twice as long as Bonna's song. If the total time for these three songs is 12 minutes, how long is Niaj's song?

3 minute

4 minute

5 minute

7 minute

None of these

ANSWER : 3

Descrption

<ul><li>Let "B" represent the length of Bonna's song in minutes.</li><li>Hadi's song is 1 minute longer than Bonna's, so it's (B + 1) minutes long.</li><li>Niaj's song is 1 minute less than twice as long as Bonna's, so it's (2B - 1) minutes long.</li></ul>We're given that the total time for these three songs is 12 minutes. So, we can set up the equation:B + (B + 1) + (2B - 1) = 12Now, let's solve for B:B + B + 1 + 2B - 1 = 12Combine like terms:4B = 12Divide by 4:B = 3Now that we've found the length of Bonna's song (B = 3 minutes), we can find the length of Niaj's song, which is 2B - 1:Niaj's song = 2B - 1 = 2(3) - 1 = 6 - 1 = 5 minutesSo, Niaj's song is 5 minutes long, which matches one of the provided answer choices.The correct answer is 5 minutes.

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