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

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Question 268616: Going into the final exam, which will count 2/3's of the final grade, Mike has test scores of 86, 80, 84, 90. What score does Mike need on the final in order to earn a B, which requires an average score of 80? What score would he need for an A?
Do I simply find the average of the test scores and assume it's 1/3 of his final grade?
Does it look like this:
(85)1/3+ x2/3= 80
and to find his grade for an "A":
85(1/3)+ x2/3+90
Thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 269106: 15 pounds of anchovies are needed for 7 pizzerias for 2 days. How many pounds are needed for 4 pizzerias for 7 days?
Click here to see answer by josmiceli(19441)

Question 269101: Erica Suco can fly her plane 200 mi against the wind and in the same time it takes her to fly 300 mi with the wind. The wind blows at 30 mph. Find the speed of her plane in still air?
Click here to see answer by checkley77(12844)

Question 269152: It takes 8 painters 6 hours to paint the walls of a gymnasium.
a. How many person-hours does this job require?
b. How many hours will 12 painters take to paint the gymnasium?
Click here to see answer by ankor@dixie-net.com(22740)

Question 270075: If it take 5 workers 6 hours to paint an office, how long does it take 8 workers to paint the same office assuming all the workers work at the same rate?
Click here to see answer by Tobiasz(54)

Question 270124: If one professional roofer can roof and house in six days and another roofer can do it in 4 days how long does it take to roof the house together?
Click here to see answer by ptaylor(2198)

Question 270192: A father and son can build a fence in 30 days. The father can finish the in 40 days. How many days are needed if the son was to put the fence himself?
Click here to see answer by drk(1908)

Question 270270: working alone, ryan can dig a 10 ft by 10 ft hole in 5 hours. castel can dig the same hole in 6 hours. how long would it take them if they worked together?
Click here to see answer by josmiceli(19441)

Question 270702: An inlet pipe can fill a tank in 10 minutes.. A drain can empty the tank in 12 minutes. If the tank is empty and both the pipe and the drain are open, how long will it take before the tank overflows?

Click here to see answer by stanbon(75887)

Question 270823: During a rainstorm, the rain is flowing into a large holding tank. At the rate the rain is falling, the empty tank would fill in 8 hours. At the bottom of the tank is a spigot to despense water. Typically, it takes about 12 hours with the spigot wide open to empty the water in a full tank. If the tank is empty and the spigot has been accidentally left open, and the rain falls at the constant rate, how long would it take for the tank to fill completely?
Click here to see answer by stanbon(75887)

Question 271109: Pipe A can fill a swimming pool in 12 h. After it has been used for 4 1/2 h, Pipe B is also used, and the pool is filled in another 4 1/2 h. How long would it take for the Pipe B to fill the pool by itself? Can you help me with this? Thanks.
Click here to see answer by scott8148(6628)

Question 271110: Jeff can weed the garden in 4 h. His wife Brenda takes the same amount of time. After they worked together for 1 h, their son Rory helped them finish in 1/2 h. How long would it have taken Rory by himself? this is another problem that I'm having difficulty with. I know the answer is 2 hrs, but I'm not sure how to set up the equation.
Click here to see answer by scott8148(6628)

Question 271610: 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 � hours. How quickly can all three fill the pool together?

Click here to see answer by unlockmath(1688)

Question 271567: A box without a top is to be made by cutting squares measuring 5 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, if it is to have a volume of 7220 cm^3.
Click here to see answer by ankor@dixie-net.com(22740)

Question 271958: A can do a job in 9 days, A and B together can complete a job in 5 days. How long will it take B alone to complete it?

Click here to see answer by stanbon(75887)

Question 271958: A can do a job in 9 days, A and B together can complete a job in 5 days. How long will it take B alone to complete it?

Click here to see answer by richwmiller(17219)

Question 272217: X can clean the garage in half the time it takes B. If they cleaned it together in 3 hours, how many hours would it take form A to clean the garage all by himself?
(A) 6 (B) 5.5 (C) 5 (D) 4.5 (E) 4

Click here to see answer by ptaylor(2198)

Question 272435: 1. It is estimated in a certain community that the time to distribute phone books to households can be modled by
P=100h/h+20
h=number of hours
p=percent of households that have recieved their books.
Find the percent of books distributed in 10 hours, 50 hours, and 90 hours.
Find the number of hours necessary to distribute telephone books to 4/5 of the population.
Click here to see answer by checkley77(12844)

Question 273546: A car has a speed 12 miles/hour faster than a truck. If the car travels 175 in the same time the truck travels 145 miles, what is the speed of the truck?
Click here to see answer by mananth(16946)

Question 274426: trying to set up a constraint for linear programming.
with
A = radio commercials
B = newspaper ads
if the question is " use at least twice as many radio commercials as newspaper ads"
what the equation?
2A + B <= 0 ???
Click here to see answer by Earlsdon(6294)

Question 274519: if it takes a person thirty minutes to paint a house and it takes another person forty five minutes to paint the same house how long will it take both to paint the same house
Click here to see answer by checkley77(12844)

Question 274688: A machine produces 305 bolts in 30 minutes. At the same rate how many bolts would be produced in 24 minutes?

Click here to see answer by nerdybill(7384)

Question 274905: Frank can type a report in 5 hours, and James takes 7 hours. How long will it take the two of them typing together?
I get 12/35. I know the answer is the inverse, but I don't know how I should know that. Could you explain how I need to SEE this problem when I read it?
Click here to see answer by edjones(8007)

Question 275164: a student did a job for $24 it took him 1 hour longer than he expected so he made $4 less than he anticipated how long did he expect it would take him to do the job?
Click here to see answer by ankor@dixie-net.com(22740)

Question 275208: jack usually mows his lawn in 4 hours, Marilyn can mow the same lawn in 3 hours, how long will it take them to mow the lawn together?
Click here to see answer by checkley77(12844)

Question 275369: Working together, Sarah and Heidi can milk the cows in 6 hours. If they work alone, it takes Heidi 9 hours longer than it takes Sarah. How long would it take Heidi to milk the cows alone?
Click here to see answer by scott8148(6628)

Question 275821: I had a question about a work word problem. It says: Jane, Paul, and Peter can finish a painting in 2 hours. Jane can paint the same painting in 5 hours. Paul can paint it alone in 6 hours. How long would it take Peter to paint it on his own?
the equation was 1/5+1/6+1/x=1/2
and I dont understand where they got the 1/2 from.......If you could help me with this it would be great. Thanks!!!
Click here to see answer by stanbon(75887)

Question 275909: If it takes 3 students, 3 minutes, to solve 3 problems..... then how long will it take 1 student to solve 2 problems?
Click here to see answer by josmiceli(19441)

Question 275932: DON CLEAN THE HOUSE IN 3 HOURS. LISA CLEANED IT IN 8 HOURS. HOW LONG WILL IT TAKE THEM TO CLEAN THE HOUSE TOGETHER?
Click here to see answer by ankor@dixie-net.com(22740)

Question 275989: one drain pipe can empty a swimming in 6 hr. Another pipe takes 3 h. if both are used at the same time to drain the pool, what part of the job is completed in 2h? in x h?
Click here to see answer by mananth(16946)

Question 275978: A screwdriver 9in.long is used to open a can of paint. The tipof the screwdriver is placed under the lip of the lid with the fulcrum 0.15in. from the lip. A force of 30lb is applied to the other end of the screwdriver.Find the force on the lip of the lid
Click here to see answer by mananth(16946)

Question 276089: It takes an older computer twice as long to send out a company�s email as it does a newer computer. Working together, it takes the two computers minutes to send out the email. How long will it take the older computer to send out the email on its own?
Do not do any rounding.

Click here to see answer by solver91311(24713)

Question 276164: if a slow hose pipe takes 45 minutes to fill a bucket and a fast hose pipe takes 30 minutes . how long would both pipes take together?

Click here to see answer by checkley77(12844)

Question 276334: one pipe can fill a tanks in 2 hours and a second pipe can fill it in 2 hours. If the tanks is empty, how long will it take both pipes to fill the tank?
Click here to see answer by nyc_function(2741)

Question 276459: The formula h= 16t2 represents the distance h; infeet, that an object falls from rest after 1 seconds. In how many seconds will an object fall 400 ft.

Click here to see answer by checkley77(12844)

Question 276458: A ship sails 60 miles south, 90 miles east and 60 miles south again. How many miles is it from its starting point ?
Click here to see answer by checkley77(12844)

Question 276457: A truck can hold 3 cubic yards of sand. If a cubic foot of a sand weighs 80 pounds, the weight of the truck load of sand in pounds is [6,480 pounds].
Click here to see answer by checkley77(12844)

Question 276456: A whistle blows every 14 minutes and a bell rings every 12 minutes. If the whistle and bell both sound together at 12 :00 noon, at what time, afternoon, will they first sound together again ?

Click here to see answer by checkley77(12844)

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