Multiple choice

48 persons can complete a work in 120 days. They started work and after x days 8 persons left the work. If the whole work was completed in 137 days, what is the value of x ?

  1. 42

  2. 45

  3. 35

  4. 24

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 48 × 120 = 5760 person-days. Work done in x days by 48 persons = 48x. Remaining work done by 40 persons (8 left) in (137 - x) days = 40(137 - x). Setting up: 48x + 40(137 - x) = 5760, which simplifies to 8x = 280, giving x = 35. Option A (42) incorrectly assumes no productivity change, while Option D (24) would require 48×24 + 40×113 < 5760.