Multiple choice

P and Q can do a work in 24 days. Q and R can do the same work in 32 days and R and P can do it in 48 days. Find the approximate time in which P, Q and R can finish the work together.

  1. 11

  2. 8

  3. 23

  4. 21
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total work = LCM(24,32,48) = 96 units. P+Q = 96/24 = 4 units/day. Q+R = 96/32 = 3 units/day. R+P = 96/48 = 2 units/day. Adding: 2(P+Q+R) = 9, so P+Q+R = 4.5 units/day. Time = 96/4.5 = 21.33 days. Option D (21) is the closest approximation.

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