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Time and work with horses and bullocks

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

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If 26 horses or 20 bullocks eat up the fodder in store in 170 days, in what time will 10 horses and 8 bullocks finish the same quantity of fodder?

  1. A.

    212.67 days

  2. B.

    162.33 days

  3. C.

    212 days

  4. D.

    216.67 days

Answer

D

Explanation

26 Horses = 20 Bullocks   ⟹  1 Bullock=1.3 Horses\implies 1 \text{ Bullock} = 1.3 \text{ Horses}. Total fodder = 26×17026 \times 170 horse-days = 4420 horse-days.

Combined daily consumption of 10 horses and 8 bullocks: 10+8(1.3)=10+10.4=20.4 horses.10 + 8(1.3) = 10 + 10.4 = 20.4 \text{ horses.}

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