Multiple choice

P, Q and R can complete the whole work in 20 days. P starts the work and works for 'x' days while Q and R complete the remaining 2/5 of the work in 14 days then find the value of x?

  1. 24 days

  2. 28 days

  3. 32 days

  4. 20 days

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

P, Q, R complete work in 20 days. Q and R complete 2/5 of work in 14 days, so they complete the whole work in 14 * 5/2 = 35 days. P's rate = 1/20 - 1/35 = (7-4)/140 = 3/140. P works for x days, so x * 3/140 = 3/5 (remaining work). x = (3/5) * (140/3) = 28.

AI explanation

Q and R complete 2/5 of the work in 14 days, so they would complete the entire work in 14 multiplied by 5/2, which equals 35 days. This means the combined one day work of Q and R is 1/35. Since P, Q and R together finish the work in 20 days, their combined one day work is 1/20. P's one day work is 1/20 minus 1/35, which equals 15/700 or 3/140. P completed 3/5 of the work initially, so the value of x is 3/5 divided by 3/140, resulting in 28 days.

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