Multiple choice

Akshar, Akshay and Akshat have to read a document of seventy eight pages and make a presentation next day. They realize that the article is difficult to understand and they would require team work to finish the assignment. Akshar can read a page in 2 min, Akshay in 3 min, and Akshat in 4 min. If they divide the article into 3 parts so that all three of them spend the equal amount of time on the article, the number of pages that Akshay should read is

  1. 24

  2. 36

  3. 25

  4. 35
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A Correct answer
Explanation

Let T be the time each spends. Pages read by Akshar = T/2, Akshay = T/3, Akshat = T/4. Total pages = T/2 + T/3 + T/4 = 78. (6T + 4T + 3T)/12 = 78 => 13T/12 = 78 => T = 72. Akshay reads 72/3 = 24 pages.

AI explanation

Using the Least Common Multiple method for their reading rates, let the total time spent be 12 minutes. In 12 minutes, Akshar reads 6 pages, Akshay reads 4 pages, and Akshat reads 3 pages, totaling 13 pages per 12-minute cycle. To read the 78-page document, they must complete 6 such cycles, meaning Akshay reads 4 pages multiplied by 6, which equals 24 pages.

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