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GATE 2016 CE (CE2) – Question 10

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

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.

  1. 1
  2. 2
  3. 3
  4. 4

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Show answer and explanation

Correct answer: (C) 3

Explanation

Normalise the book length to1. After t hours the unread fractions are1−t/6 and1−t/4. Set1−t/6=2(1−t/4), giving t/3=1 and **t=3hours, C**. At that time the fractions are1/2 and1/4, confirming the ratio.