2. Two groups of volunteers can repack relief goods in 4 hours. One group would take 2 hours longer than the other group of volunteers to do the repacking. How many hours would it take each groun working alone?

Q: 2. A train traveling at 30 miles per hour reaches a tunnel which is nine times as long as the train.…

A:

Q: A company has production costs of $25 per item. The company can produce 175 items for a total cost…

A: Given, a company has production costs of $25 per item.The company can produce 175 items for a total…

Q: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6…

A: Speed - Distance/Time For person (P1) speed = 10 m/s For person (P2), speed = 6m/s   P2 has a…

Q: A man decided to paint his house himself after office hours. He can paint 25 square meters per hour…

A: Given: Area can be painted in an hour = 25 square meters Time taken to prepare material = 15 minutes…

Q: Two pools are being filled with water. To start, the first pool contains 1300 liters of water and…

A:

Q: if six cats can catch four mice in six minutes how long it will take one cat to catch one mouse?…

A:

Q: How many workers will be needed to complete a task in 8 days, given that 4 workers can complete the…

A:

Q: 1. Maxine and Sammie have lawns that are the same size. Maxine can mow her lawn in 24 minutes and…

A: we have been given that Maxine mow her lawn in 24 minutes  and Sammie mow her lawn in 36 minutes

Q: The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. If the first two dimensions are…

A: Introduction: Being a three-dimensional figure, a rectangular box has a volume. The volume of a…

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: How many units of a 10% solution are needed to prepare 500 units of a 2% solution?

A: Let, we will need x units   x units of 10% solution have  (10% of x)= 0.10x units of pure solution.…

Q: if an object costs $555 when new, and $80 after 5 years, what does it cost after 3 years?

A:

Q: A recipe requires 1/2 cup of flour for every batch of cookies. How many FULL batches of cookies can…

A: given that  12 cup of flour for every batch of cookies. we have   512  cups of flour…

Q: How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that…

A:

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

A:

Q: The number of participants in the orientation program doubles in size each day and it covers an…

A: Topic = Algebra

Q: Two trains leave two different cities 1,029 miles apart and head directlytoward each other on…

A: Let it will take x hours for them to pass.  The first train has speed= 45 miles per hour.  So in x…

Q: A long-distance telephone call costs 20 cents for the first three minutes and 40 cents for each…

A: We can find the answer as below.

Q: A new coal-burning power plant can generate 1.5 gigawatts (billion watts) of power. Burning 1…

A: The given data is: The coal-burning plant generates 1.5 gigawatts Burning 1 kilogram of coal yields…

Q: If a bathtub comfortably holds 30 gallons of water and a shower produces 2 gallons of water per…

A:

Q: A squirrel starts the winter with a full supply of food stored. If, cach week, the squirrel eats 12%…

A: A squirrel starts the winter with a full supply of food stored.every week, the squirrel eats 12% of…

Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

A: One gardener can make the lawn in 5 hours Another gardener can make the lawn in 4 hours

Q: 4. A job is 333 % completed in 15 minutes. At this rate, how many minutes will it take to complete…

A:

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…

A:

Q: A hospital has 26 doctors and 16 nurses. Every patient, on average, requires about 25 minutes with a…

A: 26‐doctor16‐nurses25 minute with doctor20 minute with nursetotal time: 67 hourLet no.of patient…

Q: A strawberry patch is 1.3 dam long and 1.6 dam wide. If one person can pick 2m^2 of strawberries in…

A:

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

A:

Q: How many pounds of lima beans that cost 90c per pound must be mixed with 16 lb of corn that cost 50c…

A: Let x lb of lima bean must be mixed. 1 lb of lima bean costs= 90 c So, x lb of lima bean cost= 90x c…

Q: Samuel can clean the house in 4 hours. Mya can clean the same house in 3 hours. How long would it…

A:

Q: At a mail-order company, Derrick can process 100 orders in 4 hr. Miguel can process 100 orders in 3…

A: Given:  Number of orders Derrick can process in 4 hours is 100. Number of orders Miguel can process…

Q: a besiege fortress is held by 5700 men who have provision for 66 days. if the garrison losses 20 men…

A:

Q: 5. The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A:

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

A:

Q: Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours. a) How long…

A: Given Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours.

Q: indy can construct 100 identical boxes in two days less than Carl. If they work together, they can…

A: Definition used -               If A completes work in x days and B completes work in y days.…

Q: An electronics company makes two types of swithches. Type A takes 5 minutes to make and requires $4…

A: Given,The company takes 5 minutes and invests $4 to make type A switches and it takes 6 minutes and…

Q: A high-speed train makes a 450 mile nonstop run between two major cities in hours. The train travels…

A:

Q: How many kilograms of soil supplement that costs $7.00 per kilogram must be mixed with 20 kg of…

A:

Q: A complete chair requires 3.05 bolts of fabric to upholster.  A bolt is equal to 116.667 square…

A: Step 1  : A complete chair requires 3.05 bolts of fabric to upholster.A bolt is equal to 116.667…

Q: 2.) A water tank can be filled by an intake pipe in 12 hours. A draining pipe can empty the water…

A: We need to find how long will it take to fill the tank.

Q: 7. Factory A produces twice as many cars per day as factory B. Factory C produces 300 cars more per…

A:

Q: A tank can be filled by 2 water keys together in 3 hours with 3 quarters. The main key would be able…

A: Given: -

Q: 9. A company is selling calculators for $50 each. How many should it sell to break even if it costs…

A: Given information Selling price per unit (SP)= $50 Variable cost per unit (VC)= $5 Fixed cost F =…

Q: A chemical company make two brands of antifreeze. The first brand is 65% pure antifreeze and the…

A: The first brand is 65% pure antifreeze and the second brand is 90% pure antifreeze. Let x  &  y…

Q: How many ounces of a 25% alcohol system must be mixed with 12 ounces of a 30% alcohol solution to…

A: Let x ounces of a 25% alcohol system must be mixed with 12 ounces of a 30% alcohol solution to make…

Q: A thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. by…

A:

Q: A manufacturer has 600 litres of a 12% solution of acid. How many litresof a 30% acid solution must…

A: Let x litres of 30% acid solution must be added So the total amount of the solution= 600+x litres…

Q: Patricia invests $60,000 in money-market accounts at three different banks. Bank A pays 2% interest…

A: Suppose a person invests $60,000 in three banks A, B, C respectively. Let x,y, and z be the amounts…