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GATE 2016 ME (ME1) – Question 10

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

P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?

  1. 10:11
  2. 11:10
  3. 20:21
  4. 21:20

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Correct answer: (C) 20:21

Explanation

Q’s full task requires25·12=300hours; after two initial sick days Q works5·12=60hours, completing60/300=1/5. R requires50·12=600hours and works7·18=126hours, completing126/600=21/100. Their work ratio is(1/5):(21/100)=**20:21, C**.