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