It takes Frank 2 hours longer than Jane to carpet a certain type of room. Together they can carpet that type of room in 1 7/8 hours. How long would it take for Frank to do the job alone?

Q: Alice needs one hour to do a certain job. Betty, her older sister, can do the same job in 30…

A: Alice needs one hour(60 minutes) to do a certain job. So Alice does 1/60 of work in one minute .…

Q: it takes angela 2hrs longer to do a certain job than it takes cat. They worked together for 3hrs,…

A: Let t = time required by cat to do the jobthen (t+2) = time required by angela to do the job

Q: When 400 mg of the painkiller ibuprofen is swallowed, the number of milligrams n in the bloodstream.…

A:

Q: A client is instructed to take 1 1/2 (one and one half) teaspoons of a cough syrup three (3) times a…

A: Consider the given information:

Q: An alloy that is 50% silver is mixed with 500g of a 5% silver alloy. How much of the 50% alloy must…

A: Let x be the unknown quantity of 50% silver.  The silver concentrations will be 0.5x of actual…

Q: A chemist needs 50 milliliters of a 42% solution but has only 32% and 57% solutions available. Find…

A: Given - A chemist needs 50 milliliters of a 42% solution but has only 32% and 57% solutions…

Q: How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if…

A: Given: A bus traveling at 60 miles per hour to overtake a car traveling at 40 mph

Q: A nursery has $40,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood…

A: Total inventory a nursery  in dogwood trees and red maple trees is $40,000. Profit on a dogwood tree…

Q: How many average candy bars would you have to eat to ­supply the energy needed for 8 hours of…

A: Consider the given statement. Known fact: 1 candy bar supplies 1×106 Joules and one hour of running…

Q: An investor invests 5000 dollars at 10% and the rest at 5%. How much was invested at 5% if the yield…

A: An investor invests 5000 dollars at 10%, which is one-fifth of the amount.

Q: Luke and Nora can peel 20 carrots in 6 min, working together. Luke can peel 5 carrots in 2 min,…

A:

Q: Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them 60 min to…

A: Assume work done by Abbie in 60 min = 6x As Abbie paints twice as fast as Beth means in 60 minutes,…

Q: "enus has a mass of approximately 4.9 x 104 kg. The approximate mass of Mercury is 3.3 x 1023 kg.…

A: mass of Venus is m1=4.9×1024 mass of Mercury is m2=3.3×1023 now find the difference

Q: Kelly has an aboveground swimming pool. Using water from one hose requires 3 hr to fill the pool. If…

A: Hose 1 can fill pool in 3 hr Hose 1 and hose 2 can fill pool in 1.2 hr To find time for hose 2 alone

Q: A pump can pump out a tank in 11 hours. Another pump can pump out the same tank in 20 hours. How…

A: NOTE: Refresh your page if you can't see any equations. . A pump can pump out a tank in 11 hours.…

Q: If there are initially 3000 bacteria in a​ culture, and the number of bacteria doubles each​ hour,…

A:

Q: Sue to make $2000 interest if she invests 10,000 in an account that offers 4% p.a. ?

A:

Q: It takes Frank 2 hours longer than Jane to carpet a certain type of room. Together they can carpet…

A: Let Jane takes x hours to carpet the room alone . Then Frank takes (x+2) hours to carpet the room.

Q: Two companies working together can clear a parcel of land in 7 hours. Working alone, it would take…

A: Let company B takes x hours to clear the land alone Its work rate=1x And company A takes (x+10)…

Q: Tom and Jerry can mop the floor in 37 minutes if they work together. If Tom works 5 times as fast as…

A: We are solving first question only as per the answering guidelines. If you want any specific…

Q: A small pipe can fill a tank in 8 min more time than it takes a larger pipe to fill the same tank.…

A: Given Data The time to fill the tank by a small pipe is ts=(a+8) min. The time to fill the tank is…

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

A: Given,  Ann can clean the house in 7 hours .  Michael can clean it in 5 hours.

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: Pure acid is to be added to a 10​% acid solution to obtain 36L of a 40​% acid solution. What amounts…

A: We need to find the amounts of each acid.

Q: A white wine at room temperature 70°F is chi lled in Ice (32°F). If it takes 15 minutes for the wine…

A: Let T(t) (i will write T most of the time) be the temperature of the wine at time t.Let T′(t) (or…

Q: A chemist needs to stengthen a 25% solution with a 60% solution to obtain a 30% solution. How much…

A: A chemist needs to strengthen a 25% solution with a 60% solution to obtain a 30% solution.  300 be…

Q: Sol Lushen, a chemistry student, has two solutions, solution A and solution B.  Solution A contains…

A: Let the amount of solution A be x  And the amount of solution B be y.

Q: How many years would it take to breathe one billion times if you were breathing at a rate of 12…

A: We can use the simple arithmetic in order to solve the problem.

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: The design of a voltmeter requires that the resistance R2 be 10 ohms greater than the resistance R1,…

A:

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 newer reaper to harvest a field=1.1 h Let the time taken by older reaper to harvest a…

Q: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5…

A:

Q: How many days would it take to breathe one billion times if you were breathing at a rate of 12 times…

A: 1 billion times =100 crores

Q: A small pipe can fill a tank in 6 min more time than it takes a larger pipe to fill the same tank.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many gallons of a 60​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to…

A: Let the number of gallons of 60% antifreeze be ‘x’.60 gallons of 20% antifreeze and total volume =…

Q: EX 2) Working together, Mike and Eugene can mop a warehouse in 4.8 hours. Had he done it alone it…

A:

Q: One landscaper can till the soll tor a lawn in 54 min, whereas a second landscaper needs only 27 min…

A:

Q: Hannah can paint a room in 9 hours. destiny can paint the same room in 15 hours. How long does it…

A:

Q: An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in…

A:

Q: Two companies working together can clear a parcel of land in 21 hours. Working alone, it would take…

A: Consider the two companies as A and B.   Given to clear parcel of land: Time taken when both A and B…

Q: The magnitude of earthquake A is 3.8. If earthquake B is 10,000 times as intense as earthquake A,…

A: The solution is given below :

Q: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

A: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

Q: A company produces boxes that are 5 feet long, 4 feet wide, and 3 feet high. The company wants to…

A: Let the increased amount is x feet. So new dimensions are (5+x) feet , (4+x) feet , (3+x) feet

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: The volume of water left in a reservoir as it empties is shown by the formula below, where V is the…

A:

Q: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: May can prepare 120 spring rolls in 1 hour. Brian can prepare 100 spring rolls in 1 hour. How long…

A:

Q: Worker A can make a widget in 3 hrs; Worker B requires 5 hrs. How long will it take to make a widget…

A: Solving the problem by finding the total required time.

Q: A chemist needs 130 milliliters of a 57% solution but has only 33% and 85% solutions available. Find…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.