Let the capacity of a Large ship be L, Medium ship be M, and Small ship be S.
Step 1: Establish the relationships between ship capacities.
From the first condition:
From the second condition:
Substitute the value of L in terms of S:
So, we have the ratios:
Step 2: Calculate the total water brought in the first scenario.
The fleet consists of 15 Large, 7 Medium, and 14 Small ships. Total capacity per journey in terms of S:
Total_Cap1=15(1.75S)+7(1.5S)+14S
Total_Cap1=26.25S+10.5S+14S=50.75S
Since they made 36 journeys, the Total Water is:
Step 3: Calculate the capacity of the second fleet.
The second fleet consists of 12 Large, 14 Medium, and 21 Small ships.
Total_Cap2=12(1.75S)+14(1.5S)+21S
Total_Cap2=21S+21S+21S=63S
Step 4: Find the number of journeys (n).
Since the total water W remains the same:
Final Answer:
The second fleet would require 29 journeys.
Correct Option: (c) 29
