Time and Work Questions

Multiple choice
  1. $4000$
  2. $4320$
  3. $4500$
  4. $4860$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total work be 720 units (LCM of 40, 48, 60). Efficiencies: S=18, T=15, U=12. Total efficiency = 45. Let total days be D. S worked D days, T worked D-2, U worked D-5. 18D + 15(D-2) + 12(D-5) = 720. 45D - 30 - 60 = 720. 45D = 810, D = 18. S worked 18 days. S's share = (18 * 18 / 720) * 10800 = (324/720) * 10800 = 0.45 * 10800 = 4860.

Multiple choice
  1. 144/5, 36, 48

  2. 36, 48, 144/5

  3. 48, 144/5, 36

  4. none of these

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

Let work rates be A, B, C. A+B+C = 1/12. A+C = 2B implies 3B = 1/12, so B = 1/36. A+B = 3C implies 4C = 1/12, so C = 1/48. Then A = 1/12 - 1/36 - 1/48 = (12-4-3)/144 = 5/144. Time taken: A=144/5, B=36, C=48.

Multiple choice
  1. $6$ days
  2. $8$ days
  3. $10$ days
  4. $12$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let M be daily wage of a man, W of a woman. (4M + 6W) * 5 = 1600 => 4M + 6W = 320. (3M + 7W) * 6 = 1740 => 3M + 7W = 290. Solving: 12M + 18W = 960 and 12M + 28W = 1160. 10W = 200, W = 20. 4M + 120 = 320, 4M = 200, M = 50. For 7M + 6W: 7(50) + 6(20) = 350 + 120 = 470 per day. Days = 3760 / 470 = 8.