guddo wrote:
Machines J, K, and M, working together at their respective constant rates, produce c parts in 4 hours. Machine J, working alone at its constant rate, produces c parts in 10 hours, and machine K, working alone at its constant rate, produces c parts in 12 hours. How many hours does it take machine M, working alone at its constant rate, to produce c parts?
A. 11
B. 14
C. 15
D. 18
E. 20
Let the total work 'C' be LCM \((4,10 & 12) = 60\)
So, Efficiency of \(J + K + M = 15\),Efficiency of \(J = 6\) & Efficiency of \(K = 5\)
Thus, Efficiency of \(M = 15 - ( 6 + 5) = 4\)
So, Time required by M will be \(\frac{60}{4} = 15\), Answer must be (C)
Statistics : Posted by Abhishek009 • on 26 Jan 2024, 03:53 • Replies 2 • Views 74
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