Solve the problem. Show work as to how you arrived at your answer. If all that i

Question

Solve the problem. Show work as to how you arrived at your answer. If all that is given is an answer, no credit will be given. 10) One maid can clean the house in 5 hours. Another maid can do the job in 3 hours. How long will it take them to do the job working together? 11) How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get an 80% acid solution? 12) A boat is 180 feet from the base of cliff. If the distance from the top of the cliff to the boat is 45 more than twice the height of the cliff. Find the height of the cliff. Round to the nearest tenth of a foot if necessary.

Explanation / Answer

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Let x amount of work to be done to clean the house.

Rate of doing work per hour by Maid A = x/5

(Since she took 5 hours to do the task)

Rate of doing work by Maid B = x/3

Now if both the Maids work together then the amount of work done per hour is given by = x/5 + x/3

Total amount of work to be done = x

Time taken = x/ (x/3 + x/5)

= 5*3/ (5 + 3)

= 15/8 hours

= 1.75 hours

Solution

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