A spanish galleon
A spanish galleon ship has been hit by cannon balls and has sprung major leaks.
Water is coming in at uniform rate and some water has already accumulated when the men decide to remove the water by using buckets.
All men have equal skill using a bucket to remove water.
Twenty-four men can remove the water in 3 hours, while 10 men would need 10 hours.
How many men would be needed to remove the water in 2 hours?
The answer is 34.
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1 solution
1.Let V be the initial amount of water in liters.
2. Let R be the rate, in L/hr, of the water entering the ship.
3. Let T be the rate, in L/(hr*man), of water being removed.
4. V+3R=24x3xT and V+10R=10x10xT
5. Solve for R and V in terms of T.
6. V=60T and R=4T
7. We want to solve V+2R=2xNxT or 60T+2x4T=2NT
8. 68T=2NT and N=34