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Question

Mathematics Question on Time and Work

Cloth Makers Inc. has p spindles, each of which can produce q metres of cloth on an average in r minutes. If the spindles are made to run with no interruption, then how many hours will it take for 20,000 meters of cloth to be produced?

A

20000 (pq)/r

B

20000 (q)/p

C

20000 (pr)/(pq)

D

20000 r/60 (pq)

Answer

20000 r/60 (pq)

Explanation

Solution

Time taken to make (pq)(pq) metres of cloth = rr min
Time taken to make 20,000 m of cloth = rpq×20,00,000\frac{r}{pq} \times 20,00,000 mintues
Therefore, Required time (in hour) =20,00,00×60(rpq)20,00,00 \times 60(\frac{r}{pq})
The correct answer is (D) : 20000 r/60 (pq)