Multiple choice

P can do (\frac{1}{4}) part of a work in 10 days, Q can do 40% of that work in 15 days, R can do (\frac{1}{3}) part of that work in 13 days and S can do (\frac{1}{6}) part of that work in 7 days. Who can do that work in minimum time ?

  1. P

  2. Q

  3. R

  4. S

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate each person's rate: P does 1/4 work in 10 days, so full work in 40 days. Q does 40% (2/5) work in 15 days, so full work in 15 × 5/2 = 37.5 days. R does 1/3 work in 13 days, so full work in 39 days. S does 1/6 work in 7 days, so full work in 42 days. Q completes work fastest (37.5 days), so Q is the answer.

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