Multiple choice

Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days, then in how many days can P alone do the work?

  1. 52 days

  2. 42 days

  3. 30 days

  4. 50 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let R's work be r. Q = 3r, P = 2Q = 6r. Total work rate = 6r + 3r + r = 10r. They finish in 30 days, so total work = 30 * 10r = 300r. P alone takes 300r / 6r = 50 days.

AI explanation

Given the efficiency ratios, let R's one day work be 1 unit, making Q's work 3 units and P's work 6 units. Their combined efficiency is 1 + 3 + 6 = 10 units per day. Since they complete the work in 30 days, the total work is 10 * 30 = 300 units. Therefore, P alone can complete the 300 units of work at 6 units per day in 300 / 6 = 50 days.

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