Algebra (word problems)
posted by Colin
1) a small pipe can fill a tank in 16 min more time than it takes a large pipe to fill the same tank. Working together, both pipes can fill the tank in 6 min. How long would it take each pipe working alone to fill the tank?
2) a car travels 240 mi. a second car, travelling 12 mph faster than the first, makes the same trip in 1h less time. Find the speed of each car
3)a software manufacturer has determined that 500 copies per week of a new computer program will be sold at a price of $100. at a price of $110, the number of copies sold per week would decrease to 450. Determine a linear function that will predict the number of copies that would be sold at a price of $150
4)The financial manager of a hotel has determined that 600 rooms per night will be rented if the room rate per night is $120. For each $10 increase in price of a room, 20 fewer rooms will be rented. Determine a linear function that will predict the number of rooms that will be rented for any given price per room. use this model to predict the number of rooms that will be rented if the room rate is $150
5)a gerneral building contractor estimates that the cost to build a new house is $50,000 plus $70 for each square foot of floor space in the house. determine a linear function that will give the cost of building a house that contains a given number of square feet. use this model to determine the cost of building a house that contains 6000 feet.
Thanks for any help!

drwls
Please post your questions one at a time and show your own effort. We will guide you through the thought process but will not do your homework for you.

Colin
dude i did my own effort. the problem is i don't know what im doing with these. i missed class cuz i was sick but if i can get the answers or if you would be so kind as to take the time to explain to me how to do a problem of 2 that would be great. id give u what i have but i know for a fact its so off base it wouldnt even matter

drwls
2) Let V be the speed of the slower car. The faster car's speed is V + 12
The times requred are 240/V and 240/(V+12) The first of these is 1 hour longer.
Therefore
240/(V+12) = 240/V  1
Solve that algebraic equation for V. Multiply each term by V(V+12) to get rid of the fractions.
240 V = 240 (V+12)  V(V+12)
240*12 = 2880 = V^2 + 12 V
That quadratic equation can be factored for two answers, dude. Take the positive root. 
Colin
thank u
Respond to this Question
Similar Questions

math
Filling a tank. Two pipes are connected to the same tank. Working together they can fill the tank in 4 hrs. The larger pipe working alone can fill the tank 6 hrs less than the smaller one, HOw long would the smaller one take, working … 
akgebra
One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank? 
maths
A water tank can be filled up by two pipes together in 30 minutes. One pipe fills up the tank in 32 min sooner than the other pipe when they are used separately. Find the time for each pipe to fill up the tank. Can you explain how … 
Math
One pipe fills a tank in 1 hour while another pipe can fill the same tank in 2 hours. How long will it take to fill the tank if both pipes are used. 
school
A large pipe can fill a tank 10 minutes faster than it takes a smaller pipe to fill the same tank. Working together, both pipes can fill the tank in 12 minutes. How long would it take the large pipe working alone to fill the tank? 
ALGEBRA
In a water refilling stationthe time that a pipe takes to fill a tank is 10 minutes more than the time that another pipe takes to fill the same tank. If the two . If the two pipes are open at the same time, they can fill the tank in … 
Math
In water refilling station, the time that a pipe takes to fill a tank is 10 minutes more than the time that another pipe takes to fill the same tank. If the two pipes are opened at the same time, they can fill the tank in 12 minutes. … 
algebra
One pipe can fill a tank in 60 minutes and another pipe can fill it in 50 minutes .If these two pipes are open and a third pipe is draining water from the tank ,it take 35 minutes to fill the tank .How long will it take the third pipe … 
maths
Three pipes can fill a water tank constantly.The time taken for the first two pipes working simultaneously to fill the tank is equivalent to time taken by the third pipe to fill it alone.If the second pipe fills the tank in 10 hours … 
Algebra
one pipe can fill a tank in 90 minutes a second pipe can fill the tank in 60 minutes how long will it take to fill the tank if both pipes are