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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 1119628: A water tankin a farm can be filled using both a large inlet pipe and a small inlet pipein 3 hours. The large inlet pipe alone can fill the tank in 2 hours less time than the smallinlet pipe by itself. Find the individual time for each pipe to fill the tank without theother. You might want to use this table.
Click here to see answer by josgarithmetic(39617)  |
Question 1119690: Aaron and four of his friends want to schedule a 6-hour fishing trip on Lake Michigan with Radical Sport Fishing. The cost for five people is $450. The cost for six people is $510. How much money per person will Aaron and each of his friends save if they can find one more friend to go on their fishing trip?
Assume that they will split the total cost equally.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1119731: The property tax, t, on a house is directly proportional to the assessed value, v, of the house. If the property tax on a house with an assessed value of $155,000 is $2325, what is the property tax on a house with an assessed value of $210,000?
Click here to see answer by ikleyn(52778)  |
Question 1119739: Denise purchased a new car selling for $26,000. Denise paid 30% as a down payment and financed the balance with a 60-month fixed installment loan with an APR of 5.0%.
a. Determine the down payment.
b. Determine the amount financed
c. Determine the finance charge
d. Determine the monthly payment
Click here to see answer by Studenttttt(2) |
Question 1119740: James purchased a home selling for $89,900 with a 15% down payment. The period
of the
A) mortgage is 30 years, and the interest rate is 11.5% with no points. Determine:
B) amount of the down payment.
C) monthly payment of principal and interest.
D) amount of the first payment applied to the principal total cost of the house
E) total interest paid
Click here to see answer by Studenttttt(2) |
Question 1120569: A town under siege has sufficient food for 200 days at a constant rate of consumption. After 50 days, a quater of the inhabitants escape and those left are put on half rations. How many days altogether will the remaining food last?
Click here to see answer by ikleyn(52778) |
Question 1120578: The JUST-SAY-MOW lawn mowing company consists of two people: Marsha and Bob. If Marsha cuts the lawn by herself, she can do it in 3 hours. If Bob cuts the same lawn himself, it takes him an hour longer than Marsha. How long would it take them if they worked together? Round to the nearest hundredth of an hour.
Click here to see answer by ikleyn(52778) |
Question 1121164: Zack works at a carwash and can either do interior carpet cleaning, which takes 30 minutes per job, or exterior car washes, which takes 20 minutes per job. He works a maximum of six hours per day. If he is paid $5 for each exterior car wash and $6 for each interior carpet cleaning job, which of the following is true about the number of hours Zack can clean carpets (c) and do exterior car washes (e).
Click here to see answer by ikleyn(52778) |
Question 1121771: Faith normally saves £2.50 a week. She decides to save up for a new bicycle and increases her savings such that she now puts a total of £4.50 a week aside. The bicycle costs £300. How much sooner (to the nearest week) will faith be able to purchase her bicycle assuming she begins with no savings?
Click here to see answer by greenestamps(13198)  |
Question 1122450: A tank, when full can contains 1500 liters of water pump A can fill water into the tank at rate of x liters per minute .
1) Write down an expression, in terms of x, for the number of minutes taken by pump A to fill the tank completely. Pump B can fill water into the tank at a rate of (x=50) liters per minute.
2)Write down an expression in terms of x, for the number of minutes taken by pump B to fill the tank completely.
3)If pump A takes 30 Sec longer than pump B to fill the tank completely , formulate an equation in x.
Click here to see answer by solver91311(24713)  |
Question 1122621: Working together, Dan and Oliver can mow a lawn in 12 minutes. Oliver can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn?
Please show the solution such as, what is given, ask, required, and the full solution. good day!
Click here to see answer by josgarithmetic(39617) |
Question 1122754: Hi, I really need your help to this problem. Here it is.
Two cabinets makers each has 300 small cases to make. One can make 15 cases an hour, while the second can make 13. At the time the first finishes the job, how many cases more does the second cabinet makers have to finish?
Thank you for your help!
Click here to see answer by greenestamps(13198) |
Question 1122907: when a b and c work together they finish installing a garden in 3 days. The job could be completed if A worked 4 days alone and C worked 10 days alone, or if B worked 5 days alone and C worked 3 days alone. How many days would it take each worker, alone, to complete garden?
Click here to see answer by ikleyn(52778) |
Question 1123650: an 80 gallon bathtub is to be filled with water that is exactly 80 degrees Celsius Unfortunately, the two sources of water available are 120 degrees and 70 degrees When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified?
Click here to see answer by ikleyn(52778) |
Question 1123987: Every hour on the hour, beginning at midnight ,a mail truck leaves Winnipeg for Regina and also a mail truck leaves Regina for Winnipeg. The distance between Winnipeg and Regina is 561km, and every truck averages 80km/h. The number of mail trucks that a mail truck leaving from Winnipeg at 5 a.m. will meet on its trip to Regina is
A)13
B)16
C)14
D)8
E)7
Click here to see answer by ikleyn(52778) |
Question 1124060: a plumber charges $45 an hour for his own labor and $25 an hour for his assistant's labor. the plumber works twice as long as his assistant on this job. the labor charge on the final bill is $4025. how long did the plumber and his assistant work on this job?
Click here to see answer by josgarithmetic(39617) |
Question 1124968: One technician can wire a security alarm in 12 h, whereas it takes 10 h for a second technician to do the same job. After working alone for 6 h, the first technician quits. How long will it take the second technician to complete the wiring?
Click here to see answer by greenestamps(13198) |
Question 1125226: Suppose a utility considers demand for electricity "low" if it is below 5 mkW (million kilowatts), "average" if it is at least 5 mkW but below 10 mkW, "high" if it is at least 10 mkW but below 40 mkW, and "critical" if it is 40 mkW or more. Express these demand levels in interval notation. (low, average, high, and critical)
Click here to see answer by Theo(13342)  |
Question 1125231: Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a point x miles from factory A toward factory B is P(x) = 3x2 - 72x + 576 parts per million (for 0 ≤ x ≤ 50). Find where the pollution is the least.
Click here to see answer by ikleyn(52778) |
Question 1125234: The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which decays exponentially at the rate of 2.5% per year. Areas downwind of the reactor will be uninhabitable for 100 years. What percent of the original strontium-90 contamination will still be present after:
a. 50 years?
b. 100 years?
Click here to see answer by Boreal(15235)  |
Question 1125309: (40 points) A Middle Eastern oil-producing country estimates that the demand for oil (in millions of barrels per day) is D(p) = 9.5 e^(-0.04p), where p is the price of a barrel of oil. To raise its revenues, should it raise or lower its price from its current level of $120 per barrel?
Click here to see answer by Theo(13342) |
Question 1125308: The number of people in a city of 200,000 who have heard a weather bulletin within t hours of its first broadcast is N(t) = 200,000 (1-e^(-0.5t)).
Find N(0.5) and N’(0.5) and interpret your answers.
Find N(3) and N’(3) and interpret your answers.
Click here to see answer by solver91311(24713) |
Question 1125451: A mason can lay the bricks in a sidewalk in 10 hours. The mason's apprentice requires 12 hours to do the same job. After working together for 3 hours, the mason leaves for another job and the apprentice continues working. How long will it take the apprentice to complete the job? (Round your answer to two decimal places.)
Click here to see answer by rothauserc(4718)  |
Question 1125787: A Foreman needs 14 workers to complete a certain task in 16 days. However,
after 8 days, the engineer instructed him to complete the task in following 4 days to
allow other teams enough time. How many additional workers does the foreman
need to request for?
a. 6
b. 10
c. 9
d. 8
Click here to see answer by josgarithmetic(39617) |
Question 1125787: A Foreman needs 14 workers to complete a certain task in 16 days. However,
after 8 days, the engineer instructed him to complete the task in following 4 days to
allow other teams enough time. How many additional workers does the foreman
need to request for?
a. 6
b. 10
c. 9
d. 8
Click here to see answer by ikleyn(52778) |
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