An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours. If the main pump is started at 9.00 am, when should the auxiliary pump be started so that the tanker is emptied by noon?

Q: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both…

A: To Determine: How long will it take for the tub to fill if both faucets are open and the stopper is…

Q: One crew can seal a parking lot in 8 hours and another in 12 hours. How long will it take to seal…

A: Given :One crew can seal a parking lot in 8 hours another in 12 hours

Q: At 12:00 noon, there were 250 bacteria present. By 4:00 pm, there were 474 bacteria. If the bacteria…

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Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: A painter by himself can paint four rooms in 10 hours. If he hires a helper, they can do the same…

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Q: An air traffic controller is tracking two planes. To start, plane A is at an altitude of 2828 feet…

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Q: Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5…

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Q: At a dairy plant, a milk tank can be filled in 8 hours (using the in-valve). Using the out-valve,…

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: Introduction: Recurrence relation is very important in discrete mathematics. It relates a term with…

Q: Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it…

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Q: A water tank can be emptied by using one pump for 5 hours. A second, smaller pump can empty the tank…

A: Given: A water tank can be emptied by using one pump for 5 hours. A second smaller pump can empty…

Q: Harriet's main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

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Q: Of two inlet pipes, the smaller pipe takes 5 hours longer than the larger pipe to filla pool.  when…

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Q: A homeowner estimates that it will take him 9 days to roof his house. A professional roofer…

A: Solution : According to the question ;             Let,   t = The amount of time to do the job…

Q: Ann can clean a house in 7 hours and Michael can do it in 5 hours. They agreed to clean the house…

A: We can find the required time as below

Q: A student must leave for campus in half an hour or he will be late for class.​ Unfortunately, he is…

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Q: Joyce can plant a garden in 120 minutes, and Jim can do the same job in 80 minutes. How long will it…

A: We have to find time in which both will work together.

Q: John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take…

A: John can mow the lawn in 3 hours.  So in 1 hour he can mow 1/3 of the lawn   Julie can mow the lawn…

Q: Trent worked for 20 consecutive days, earning an average wage of $ 120 per day. During the first 12…

A: Given: The average wage is $120 per day The first 12 days the average wage is $124 per day Last 7…

Q: ne gardener can mow a golf course in 4 hours, while another gardener can mow the same golf course in…

A: Given: One gardener can mow a golf course in 4 hours, while another gardener can mow the same golf…

Q: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can…

A: Here, I solved with proper explanation.

Q: A gardener can mow a lawn in 3 hours. After 2 hours, it rained and he discontinued the work. In the…

A: Given :                  A garderner can mow a lawn in 3 hours. After, 2 hours it rained and he…

Q: One painter can paint a house in 8 days, and a more experienced painter can paint the house in 3…

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Q: Jerry can frame a room in 1 hour, while jake takes 4 hours. How long would it take for them to frame…

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Q: At the Merck Corporation, it takes one computer three hours to print checks for its employees and a…

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Q: A pool can be filled by one pipe in 6 hours and by a second pipe in 12 hours. How long will it take…

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Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: With two reapers operating, a field can be harvested in 1 h. If only the newer reaper is used, the…

A: Time taken by both the reapers working together is 1 h. Thus, work done by both the reapers is,…

Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can emptythe pool in 26…

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Q: One custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

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Q: One custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

A: Given 1 custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

Q: Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank in…

A: Given Oil tanker can be emptied by the main pump in four hours and auxiliary pump can empty the tank…

Q: mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do…

A: Given: The experienced bricklayer can build a wall in 3 hours. His son can do the job in 6 hours

Q: Monica, still, takes one hour to wash a car and Bill takes two hours to wash a car.  If they work…

A: Let Monica and Bill can complete the work in x hours if they work together.Washing a car can be…

Q: When Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20…

A: Let x be the car speed then (x + 48) will be the train speed both in miles per hour.

Q: If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30. Find how long it…

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Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

A: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

Q: Kenneth can do a cetain job in 3 hours, while Sanchez takes 5 hours to the same job. How long would…

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Q: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

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Q: If the east and west exit doors of a banquet hall are open, the occupants can clear out in 2…

A: To find the time taken to clear the hall if just the west door is open?

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

Q: One printing machine can run the necessary copies for the daily circulation of a newspaper in 5…

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Q: Two machines are turned on at 8:00 A.M. If one can produce 36 items each hour and the other can…

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Q: Tarzan can make a three house in 9 hrs while his friend Barok can do it in 16 hrs. One day they work…

A: Tarzan can make a three house in 9 hrs while his friend Barok can do it in 16 hrs. One day they work…

Q: When Fritz drives to work his trip takes 35 ​minutes, but when he takes the train it takes 15…

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Q: Gian can finish an accounting work in 8 hours, while Leo can finish the same work in 6 hours. After…

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Q: One custodian cleans a suite of offices in 6 hours. When a second worker is asked to join the…

A: Solve the given problem.

Q: With water from one hose, a swimming pool can be filled in 8 hours. A second, larger hose used alone…

A: With water from one hose, a swimming pool can be filled in 8 hours.   A second, larger hose used…