A cistern can be filled by 2 pipes in 3 ¾ minutes. if the larger pipe takes 4 minutes less than the smaller pipe to fill the cistern. How much time will smaller pipe takes to fill the tank?

Q: Bill weights 120 pounds and is gaining ten pounds each month, Phil weights 150 pounds and is gaining…

A: Let, after the "t" Months Bill's weigh is same as Phil. Then, in t months gain in Bill's weigh = 10t…

Q: Zane can paint a bedroom in 5 hours. With help from his father, Zane and his dad can paint the same…

A: Explanation: Given that,  Zane can paint a bedroom = 5 hours Zane & his father can paint a…

Q: hose can fill a swimming pool in 4 hours. Another hose needs 9 more hours to fill the pool than the…

A: Given query is to find the time taken by the hose to fill the pool together.

Q: 2) During this pandemic, Pedro wanted to make himself busy and decided to help his parents in…

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: Mary sold 147 bags of popcorn in 3 days. At this rate, how many bags of popcorn will Mary sell in 5…

A: Mary sold 147 bags of popcorn in 3 days.

Q: The 4 highschool girls are going to clean the water in the lake. What number of various ways can 4…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: 43. For Jen, Alina wants to make a box with a square base whose sides and base are made of wood and…

A: Maximization of volume

Q: hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to fill the pool…

A: Given ,          The fill rate is 1θ/pool per hour .      and the drain rate is 112 pool per hour…

Q: Two square lots was sold for P2500 per square  meter.  If the smaller area is 3 less than half the…

A:

Q: You can complete a typing project in 5 hours, and a friend estimates that it would take him 8 hours.…

A:

Q: The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the…

A:

Q: 2 kitchen assistants can prepare 10 kg of vegetables in 30 mins. How long would it take 15…

A:

Q: In 4 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a…

A: Given: Two conveyor belts are given. Let's take it as A and B. Time taken by belt A to move 300…

Q: Sarah jogs at an average rate of 2/15 mile per minute. At this rate, how many miles will she jog in…

A:

Q: A recipe calls for 2 1/4 cups of flour to make a batch of cookies. How many batches of cookies can…

A: The amount of flour required to make one batch of cookies is 214 cups. The amount flour you have is…

Q: A hound was chasing a fox. Whenever the hound took 4 leaps, the fox took 5. If 3 hound leaps cover…

A: It is given, when the hound takes 4 leaps, fox takes 5 leaps.Obviously, when hound takes 1 leap, fox…

Q: ne gardener can mow a golf course in 4 hours, while another gardener can mow the same golf course in…

A: Given: One gardener can mow a golf course in 4 hours, while another gardener can mow the same golf…

Q: takes George 3 minutes to read 300 words. If each page in a book that he is reading has 750 words,…

A: Please refer to the image below

Q: A​ 10-gal aquarium is 6 in. higher than it is wide. Its length is 20 ​in., and its volume is 4940…

A: Given

Q: Clyde is baking, and the recipe requires 113 cupsof flour. Clyde has 2 cups of flour, but he…

A: Given that:                      Flour required= 113 cups of flourClyde has 2 cups of flour.

Q: postal worker can sort a  worth of mail in 8 hours. With her supervisor helping, it takes 3 hours.…

A:

Q: In Lixue’s garden, the green pepper plants grew 5 inches in 3434 month. At this rate, how many feet…

A:

Q: Lena invests $5200 at 3% per year simple interest, while her friend David invests $3600 at 5% per…

A:

Q: How many kilograms of hard candy that cost $7.50 per kilogram must bemixed with 24 kg of jelly beans…

A: Let x kg of hard candy should be mixed.  Cost of 1 kg of hard candy is $7.50 Cost of x kg of hard…

Q: rectangular hotel room is 5 yards by 7 yards. The owner of the hotel wants to recarpet the room with…

A: The dimensions of the rectangular room is 5 yards by 7 yards. The cost of the carpet per square yard…

Q: It takes 5 hours for 4 adults and children to sweep the school grounds. The same job can be done by…

A: Given:  5 hours for 4 adults and children to sweep the school grounds same job can be done by 3…

Q: A cake recipe requires 1/2 cup of white sugar. If this recipe is cut in half, how much sugar in…

A: A cake recipe requires = 1/2 cup of white sugar

Q: Amanda can jog me 18 miles in 5 hours At this rate, how many miles can she jog in 4 hours

A: We can find the required miles covered by Amanda in 4hr as below.

Q: 2. Eugene can finish his job alone in 120 minutes. If Jenny wants to help him, they can finish their…

A: Eugene can finish his job = 120 minutes Eugene and Jenny can finish their job = 3.5 hours

Q: 2. Working together, Jennifer and Lori can plant a vegetable garden in 3 hours. If Lori works alone,…

A: *concept:- time is inversely proportional to efficiency. i.e. time = 1/efficiency.

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

Q: A barista wants to mix coffee that costs $3.75/lb. with coffee that costs $7.25/lb to get 10 lbs of…

A: Total amount of coffee = 10 lbs Suppose, the barista mixes x lbs of the first type of coffee with…

Q: A chemical costs $5.25 per pound. What would be the cost of 10.0 kg of the chemical?

A:

Q: One maid can clean the house in 2 hours. Another maid can do the job in 5 hours. How long will it…

A:

Q: A traditional pizza parlor takes 28.8 minutes to cook 4 pizzas in the oven at the same rate. Charlie…

A: pizza parlor takes 28.8 minutes to cook 4 pizzas in the oven at the same rate. Charlie works for 6…

Q: a farmer wishes to mix a monoxodil solution that is 7% monoxodil. he has on hand 100ml of a 5%…

A: We will use basic averaging method to solve this

Q: A 400 mm pipe can fill the tank alone in 5 hrs and another 600 mm pipe can fill that tank alone in 4…

A:

Q: The price of a​ four-star meal was ​$50 per couple decades​ ago, has since increased 300%. The…

A: Initial price of the meal =$50 Percentage increase=300%=3

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 pizza shop charges $2.00 for a slice that is one eighth of a pizza and $3.00 for a slice that is…

A: Let us first frame the equations, it is a problem involving only equations, Let z be the…

Q: When Fritz drives to work his trip takes 36​minutes, but when he takes the train it takes 20…

A: Let speed of the car be c miles per hour.        Then speed of the train = (c + 48) miles…

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

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

Q: he Boardman family walked 2/5 of a mile in 2/7 of an hour. What is their unit rate in miles pro…

A: Given ,          Miles walked by Board man family=2 5mile         time taken=27 hr        unit…

Q: 5. Jes makes 4 pizzas on her own in 20 minutes, whereas Kyle, on his own, makes 4 pizzas in 30…

A:

Q: kurts father is 2 more than eight times his age. if the product of their ages in years is 300. how…

A: Given ,  kurts father is 2 more than eight times his age if the product of their ages in years is…

Q: Tarzan can make a three house in 9 hrs while his friend Barok can do it in 16 hrs. One day they work…

A: Tarzan can make a three house in 9 hrs while his friend Barok can do it in 16 hrs. One day they work…

Q: 4) The cost of producing x units of a is C(x)= 10x +50x +400. How much does it cost to produce the…

A:

Q: A heap of yams contains 40 tubers.If the average weight of each tuber is 5 2/4Kg,what is the total…

A: We have to find the weight of 40 heaps

Q: Imagine that the price per gallon of gas with a $7 car wash is $3.57 and the price without a car…

A: Let gallons to buy = x Therefore Cost with car wash = 7+3.57x Cost without car wash = 3.77x

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.