Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

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: Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room. How long…

A: Given that sally can paint a house in 7 hours. This implies that sally’s work is 1/7.Steve can paint…

Q: An engineer and his helper can do a certain job in 5hrs. On a given day, they work together for 2hrs…

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Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: An experienced accountant can balance the books twice as fast as a new accountant. Working together…

A:

Q: An experienced roofer can roof a house in 34 hours. A beginning roofer needs 51 hours to complete…

A:

Q: bill can shovel the snow from the walk in 45 minutes. When Carol helps him, they can shovel th walk…

A:

Q: Chloe can stuff envelopes twice as fast as her coworker Walter. Working together, Walter and Chloe…

A: Work done

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: It is given that Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund.

Q: One pump can drain a pond in 22 hr. Working with a second pump, the two pumps together can drain the…

A: Let x be the time it takes for the second pump to drain the pound alone.  The conditions of the…

Q: A park has two sprinklers that are used to fill a fountain. One sprinkler can fill the fountain in 3…

A: Answer is- 2 hrs Explanation is given below...

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long…

A: Sally can paint a room in 9 hours while Steve takes 3 hours to paint the same room. How long would…

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: One pump fills a tank 4 times as fast as another pump. If the pumps work together, they fill the…

A: Let V ; volume of tank to be filled and T time taken by faster pump (in minutes)

Q: Sally can paint a room in 8 hours while it takes Steve 6 hours to paint the same room. How long…

A:

Q: Rose can check papers twice as fast as Badong. When working together, they can finish checking…

A: Given:- Rose can check papers twice as fast as Badong. When working together, they can finish…

Q: i can run 5 miles on one hour.At this rate,how long will it take me to run 7 miles?

A: I can run 5 miles on one hour. At this rate, how long will it take me to run 7 miles?

Q: A runs 7/4 times as fast as B. if A gives B a start of 84 miles , how far must the winning post be…

A:

Q: It takes the cold water faucet as long to fill a bathtub as it does the hot water faucet. Left on…

A:

Q: Sally can paint a room in 8 hours while it takes Steve 7 hours to paint the same room. How long…

A:

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

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: An experienced roofer can roof a house in 18 hours. A beginning roofer needs 27 hours to complete…

A: An experienced roofer can roof a house in 18 hours. A beginning roofer needs 27 hours to complete…

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in…

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

Q: Doug went to a conference in a city 120 km away. On the way back, due to road construction, he had…

A: This question is about revenue and distance applications of quadratic equations.

Q: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as…

A:

Q: Worker A can complete a task in 2 hours while worker B can complete the same task in 4 hours. How…

A:

Q: Evan can clean a room in 3 hours. If his sister, Faith helps, it takes them two and two-fifths…

A: Given that  We have to find how many hours faith working alone.

Q: Rodrigo works on his project for 38 minutes every three hours. Michael works on his project for 32…

A: topic - rate of doing work

Q: It takes the cold water faucet twice as long as long to fill a bathtub as it does the hot water…

A: Assume time taken to fill the bath tub by, cold water faucet = t1hot water faucet   = t2Both hot…

Q: One pump can fill a pool in 10 hr. Working with a second slower pump, the two pumps together can…

A: The Pump1 fill pool in 10hr Both Pump1 and Pump2 fill in 6hr To find time taken by pump2 alone to…

Q: An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it…

A:

Q: Two cyclists leave a city at the same time, one goingeast and the other going west. The westbound…

A: Given: Two cyclists leave a city at the same time, one goingeast and the other going west.

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work…

A: If a is directly proportional to b, then it can be written that ab=k.

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: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

A:

Q: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

A:

Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

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 new printing press can print newspapers twice as fast as the old one can. The old one can print…

A: It is given that new printing press can print newspapers twice as fast as the old one can and the…

Q: Sarah can run 8 miles in 36 minutes. How long will it take him to run two miles?

A: Consider the formula for speed is, Speed=distancetime Since, "S" can run 8 miles in 16 minutes and…

Q: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 square feet…

A:

Q: It takes an older computer 3 times as long to send out a company's email as it does a newer…

A: Let the time taken by the newer computer to send the mail = x min  the newer computer rate = 1x…

Q: calculate

A:

Q: Dave takes 15 minutes longer than Kate does to make the 60-mile drive between two cities. Kate…

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Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: took Amari `2` hours to paint the first `14` feet of a `70`-foot-long fence.   At this rate, how…

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.