Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

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Question 370611: A heating system can increase the temperature of a classroom by 3 degrees Celsius per hour. If the class room temperature is 15 degrees Celsius when the timer starts the heating system during the night, which of the following equations provides a mathematical model for the temperature after t hours.
A.Temperature= 3t-15
B. Temperature= 3t+15
C. 3t/15
D. 3t times 15

/= fraction
Click here to see answer by mananth(12270)

Question 371009: Aubrey uses a slingshot to shoot a marble from a window. The height of the marble h(t) in feet at time t seconds is given by the function h(t)=-16t square -50t+164. How many seconds elapse before the marble hits the ground?
Click here to see answer by nerdybill(6962)

Question 371318: A panda can eat the leaves from a certain bamboo stem in 14 minutes. Together, two pandas could eat the leaves from that same stem in 9 minutes. how long would it take the second panda to eat the leaves from the stem by itself?
Click here to see answer by amoresroy(333)

Question 371768: Thank you very much to anyone who solves this problem. The pool can be filled in 8 hours and 30 minutes with a red hose. If I run a red and a green hose together, the pool can be filled in 5 hours and 15 minutes. How long would it take to fill up the pool with the green hose only?
Click here to see answer by ankor@dixie-net.com(15660)

Question 372353: I don't know how to set up the equation for this word problem...
My cat Archimedes can rid my garage of mice twice as fast as my neighbor's cat, Pythagoras. If they joined forces, they can clear a garage in a mere two hours. In how many hours does it take for each of these felines to clear a garage of mice working alone?
I think the known values are:
Pythagoras's rate = x
Archimedes' rate = 2x
Total time working together = 2 hours
Thank you!

Click here to see answer by stanbon(57387)

Question 372422: One hose can fill a goldfish pond in 45 minutes, and two hoses can fill the same pond in 20 minutes. How long does it take the second hose alone to fill the pond?
Click here to see answer by nyc_function(2733)

Question 372470: A bathtub can be filled by cold water faucet in 7 minutes and by the hot water faucet in 10 minutes. How long does it take to fill the tub if both faucets are open?

Click here to see answer by user_dude2008(1861)

Question 372466: Two pipes are used to fill an oil tanker. When the larger pipe is used alone, it takes 60 hours to fill the tanker. When the smaller pipe is used alone, it takes 80 hours to fill the tanker. The large pipe begins filling the tanker. After 20 hours, the large pipe is closed and the smaller pipe is opened. How much longer will it take to finish filling the tanker using only the smaller pipe?
Click here to see answer by mananth(12270)

Question 372444: At the rate of 3/4 a room being painted in 1 h, how long will it take to paint the entire room?

Click here to see answer by robertb(4012)

Question 372732: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by checkley79(3050)

Question 373010: one pipe fills a pool in 6 hours. a second pipe can fill the same pool in 4 hours. how long would it take to fill the pool if both pipes were working
Click here to see answer by scott8148(6628)

Question 373298: It takes 8 hours for 8 people to paint a house. How long will it take 2 people to do the job?
Click here to see answer by edjones(7569)

Question 374130: Together Gunther and Gerta can peel a bushel of potatoes in 48 minutes. Working alone, it takes Gerta 28 minutes longer than Gunther to peel a bushel of potatoes. How long would it take for Gunther to do this job by himself?
Click here to see answer by robertb(4012)

Question 374822: At a fixed temperature, the risistance R of a wire varies directly as the length l and inversely as the square of its diameterd. If the risistance is 0.8 ohm when the diameter is 1mm and the length is 200 cm,what is the risistance when the diameter is 2 mm and the length is 1250 cm.
Click here to see answer by amoresroy(333)

Question 374925: It takes John 20 hours to paint a building. It takes Sam 15 hours to paint the same building. How long will it take for them to paint the building if they work together, with Sam starting one hour later than John?
Click here to see answer by solver91311(16897)

Question 375311: Water flows into a tank at a rate of 15 litres per minute. At the beginning the tank contained 250 litres.
a) Write an expression for the volume, V litres, of water in the tank at time t minutes.
b) How many litres of water are there in the tank after an hour?
c) The tank has a capacity of 5000 litres. How long does it take to fill?
Click here to see answer by mananth(12270)

Question 375331: a mason's helper requires 4 hours more to pave a concrete walk than it takes the mason. the two worked together for 3 hours when the mason war called away. the helper completed the job in 2 hours. how long would it take each to do the same job working alone?
Click here to see answer by edjones(7569)

Question 375608: A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 mins if the drain is opened and an empty tank can be filled in 45mins witht he inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by scott8148(6628)

Question 375456: if two people can pick 40 bushels of apples in 4.95 hour, and one of them can pick 40 bushels of apples in 9 hours, how long does it take the other person
Click here to see answer by nyc_function(2733)

Question 376118: two machines work at the same rate. after they work together for 7 h, one machine breaks down. the second machine requires 14 h more to finish the boxes. how long would it have taken one of the machines to fill the boxes?
Click here to see answer by ankor@dixie-net.com(15660)

Question 376189: Faucet A fills a tank in 6 minutes, and faucet B fills the same tank in 12 minutes. If they are opened together to fill the same tank, how long will it take to fill the tank?
Click here to see answer by amoresroy(333)

Question 376233: One painter can paint a house in 40 hours and another painter can paint the same house in 35 hours. How long will it take to paint the house if they work together.
Click here to see answer by Alan3354(30993)

Question 376475: It takes Joe 12 hours to paint a fence, but Bob can do the job in 9 hours. How long does Joe work by himself before being joined by Sam if they finish the job working 3 hours together?
I've tried setting up a system of equations, but am not having much luck. I think that the first equation is x/12 + y/9 = 1, with x being the number of hours Joe works and y the number of hours Bob works, but I can't figure out the second equation.
Click here to see answer by nerdybill(6962)

Question 376669: A painter knows that he can paint 3 houses in 5 weeks. At this rate how long should it take him to paint 14 houses?
Click here to see answer by ankor@dixie-net.com(15660)

Question 376668: On a scale model, 2 inches represents 8 feet. If a building in the model is 7.5 inches tall, what is the actual height of the building?
Click here to see answer by rfer(12670)

Question 376735: if 3 men can paint 4 rooms in 9 hours how many hours and minutes will it take for one man to paint one room assuming he can work at the same rate alone?
Click here to see answer by robertb(4012)

Question 377340: A faucet can fill the sink in 3 minutes. A 2nd faucet can fill the same sink in 6 minutes. The rain leaks so that it empties the sink in 4 minutes. If the drain is closed and the 2 faucets are open how long will it take to fill the sink?
Click here to see answer by robertb(4012)

Question 377477: JV can edit 15 essays in 10 hours. Ayah needs 15 hours to do the same job. If they work together, how long will it take them to edit the essays.
Click here to see answer by mananth(12270)

Question 377484: An experienced carpenter can panel a room 3 times faster than an apprentice hall can. Working together , they can panel the room in 6 h. How long would it take each one working alone to do the job?
Click here to see answer by edjones(7569)

Question 377560: A pipe can fill a swimming pool in 10 hours. If a second pipe is opened, the two pipes together can fill the pool in 4 hours. How long would it take the second pipe alone to fill the pool? -Thanks a lot!
Click here to see answer by edjones(7569)

Question 377558: One painter can paint a house in 40 hours and another painter can paint the same house in 35 hours. How long will it take them to paint the house if they work together? -Thanks a lot!
Click here to see answer by edjones(7569)

Question 377556: One pipe takes 30 minutes to fill a tank. After it has been running for 10 minutes, it is shut off. A second pipe is then opened and it finishes the tank in 15 minutes. How long would it take the second pipe alone to fill the tank? -Thanks a lot!
Click here to see answer by edjones(7569)

Question 377620: I have a problem on my homework that has very little detail in the textbook. I need to know a formula for the following: Two pipes working together can fill a tank in 12hrs. Working alone, the larger one can fill the tank in 18hrs less than the smaller one. How long does it take for the smaller tank working alone? Thank you so much!
Click here to see answer by edjones(7569)

Question 377656: a tank can be filled in 45 minutes and by another pipe in 55 minutes. how long will it take both to fill it?
Click here to see answer by ewatrrr(10682)

Question 377265: Ten minutes after Sasha's little brother left home for karate class, Sasha saw that he forgot his karate uniform, and she ran after him. If Sasha runs twice as fast as her little brother, how long will it take her to reach him? Justify your answer.
Click here to see answer by Alan3354(30993)

Question 378377: The speeds (in revolutions per minute) of two pulleys are inversely proportional to the pulleys' diameters. One pulley's diameter is 12 and that pulleys speed is 160 rpm. If the other pulley's diameter is 4, what is speed 2?
Click here to see answer by Alan3354(30993)

Question 378384: One pipe fills a pool in 6 hours. Second pipe can fill the same pool in 4 hours. How long would it take to fill the pool if both pipes were working.
Click here to see answer by stanbon(57387)

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