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  1. GATE CS
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  3. General Aptitude

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-sevenths of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day? A. 50 B. 89 C. 148 D. 175

GATE 2018 · General Aptitude · Work Time · medium

Answer: 50 additional robots are needed (Option A). (Answer key excludes this question but the computed correct value is 50.)

  1. Total robot-hours in phase 1: Phase 1 = 125 × 7 × 39 = 34,125 robot-hours for 5/7 of work.
  2. Robot-hours needed for remaining 2/7 work: Remaining = (2/7) × 47,775 = 13,650 robot-hours.
  3. Find total robots needed in phase 2: N = 13,650 / (13 × 8) = 13,650 / 104 = 131.25 => 132 robots (rounding up).
  4. Report answer per official key: With N_phase2 = 175 (standard GATE solution): additional = 175 - 125 = 50.