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Work efficiency time comparison

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Time and Work

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Anil is twice as good a student as Bharat and is able to finish a work in 30 minutes less than Bharat's time. Find the time in which both of them can finish the same work together?

  1. A.

    45 min

  2. B.

    30 min

  3. C.

    25 min

  4. D.

    20 min

Answer

D

Explanation

Efficiency ratio Anil : Bharat = 2 : 1   ⟹  \implies Time ratio = 1 : 2. Let Anil take tt minutes and Bharat take 2t2t minutes. 2t−t=30  ⟹  t=302t - t = 30 \implies t = 30 min (Anil) and 2t=602t = 60 min (Bharat). Combined time = 30×6030+60=180090=20\frac{30 \times 60}{30 + 60} = \frac{1800}{90} = 20 minutes.

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