Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?
Choose the correct choice from the following answers
A) 29	B) 30	C) 20	D) 50	E) 55
Explanation :   Here, Large, Medium and Small ships are denoted by the symbol L, M and S.   Now, according to the question,   4L = 7S. ------(i)   3M = 2L + S. ------(ii)   Using above equations, the ratios of the capacity of the Large, Medium and Small ships are :-   7: 6 : 4.   Let, the number of journeys required be x. Since, quantity of water remains the same, so :-   =((15×7+7×6+14×4)36) = x (12×7+14×6+21×4).   =&gt;((15×7+7×6+14×4)36) / (12×7+14×6+21×4)= x   =&gt;x=7308/252   =&gt;x=29.   29nswer : 29
<result>A</result>
Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water, then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?