Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. A. 1 B. 2 C. 3 D. 4

GATE 2016 · General Aptitude · Work Time · medium

Answer: After 3 hours

1. Express remaining pages for each reader: Ananth remaining = 1 - t/6. Bharath remaining = 1 - t/4.
2. Set up the equation: 1 - t/6 = 2 * (1 - t/4) = 2 - t/2.
3. Solve for t: 1 - t/6 = 2 - t/2 => t/2 - t/6 = 2 - 1 = 1 => (3t - t)/6 = 1 => 2t/6 = 1 => t/3 = 1 => t = 3.