As part of her physical fitness training Ms. Malltezi cycled at 30 km/h and then jogged at 8 km/h.  She spent 2 hours working out and covered a distance of 49 km.  How long did she spend at each activity?

Q: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he…

A:

Q: A space plane skims the edge of space at 4000 miles per hour. Neglecting​ altitude, if the…

A: step 2 complete solution

Q: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

A: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

Q: Marcus is building a fence around his rectangular backyard. The length of his backyard is 7534ft,…

A:

Q: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A man traveled at 55mph for the first half of his trip and 70mph on the return trip. If his total…

A: We have to use distance time relation.

Q: On average, Raymond takes 3 more hours to build a shelf than Lawrence. If working together Raymond…

A: Let time taken by Lawrence to build the shelf is x hoursTime taken by Raymond is x+3Working together…

Q: A 30lb person who runs at 6mph for 1 hour burns 720 calories. The same person, walking at 4mph for…

A: Number of calories a 130lb person burns while running at 6mph for 75 minutes is.

Q: Ryan usually bikes at an average rate of 12 miles per hour mph how long does it take him to hike a…

A:

Q: Lisa takes 2 hours to mow the lawn while her cousin, Barb, takes 1.35 hours.  How long will it take…

A: Given:      Lisa = 2 hour        Barb = 1.35 hours

Q: Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take…

A: We have to find

Q: Jack knows that if he would break his total trip into 6 parts, each part would be 350 miles. How far…

A: Each part of Jack's trip = 350

Q: A 160​-lb person who runs at 6 mph for 1 hr burns about 40 calories. The same​ person, walking at 4…

A: Let x be the number of calories generated per pound. let y be the calories generated per minute of…

Q: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

A:

Q: In order to prepare some liquid medicine properly you need to mix 32 ML of liquid antibiotics with…

A:

Q: Mary can finish a puzzle of 500 pieces in 2 hours. How long will it take her to finish a puzzle of…

A:

Q: On their most recent 8-mile training run, Pepe averaged a speed of 1212 of a mile in 4.5 minutes,…

A: Pep Averaged a speed of 1212 of a mile    in 4.5 minutes.           speed of…

Q: A man can clear his driveway using a snowblower in 45 minutes. It takes his son 2 hours to clear the…

A: given  father clear hid driveway using snowblower in 45 minutes son clear the drive using a sholve…

Q: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it…

A: Suppose, the Average speed of the bus on the winding road was, x miles per hour  So, it's average…

Q: Spencer went on a bike ride of 120 miles. He realized that if he had gone 25 mph faster, he would…

A:

Q: The length of a rectangular field is 25 m more than its width. The perimeter of the field is 450 m.…

A:

Q: As part of flight traning, a student pilot was required to fly to an airport andthen return. The…

A: Let d be the distance between two airports.

Q: A rod 25 feet long is cut into two pieces such that one piece is 9 feet longer than twice the length…

A: Given: A 25 feet long rod cut into two pieces.

Q: A wheelchair ramp is 9 feet long and sits 214 feet high. How long will a similar ramp be if it is…

A:

Q: On a 130 mile trip a car travled at an average speed of 55 mph and then reduced its speed to 40 mph…

A: Let t = number of hours at 55 mph. Therefore, Number of hours at 40 mph = 2.5 - t Formula used:

Q: The distance from PSU to the Space Needle in Seattle WA is 194 miles. How long would it take to…

A:

Q: Mark Martin can row upstream at 5 mph and downstream at 11 mph. If Mark starts rowing upstream until…

A: Write the separate equation for each part of the trip: Upstream: d1= r1*t1 (1) d1= 5*t1 mi…

Q: while covering a distance 24 km , a man noticed that after walking for 1 hour and 40 minutes the…

A:

Q: A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike…

A:

Q: A 25-foot pipe has been cut into two parts, one 4 times as long as the other. How long is each part?

A: Let x be the length of one part.Then the length of the other part is 4x, because one part is 4 times…

Q: Using 4 gallons of gasoline, a hybrid car can travel a distance of 192 miles. What is its…

A:

Q: An eighteen-acre building lot is five times as long as it is wide. What are it’s dimensions?

A:

Q: One and one half ounces of a medication are required for a 140 pound adult. At the same rate, how…

A: Given  Medication required for 140 pound adult = 1.5 ounces Let the medication required for 238…

Q: An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 3000 pounds. The weight of the elevator operator is 245…

Q: Nedra and Latonya Dominguez are 12 miles apart hiking toward each other. How long will it take them…

A:

Q: Natalie drove for 6.5 hours at 70 miles per hour.  How far did she travel?

A:

Q: A boy has to cover 4km to catch a bus. He travels part of the distance at 3km/h and runs the rest at…

A: Given that, Distance covered to catch a bus = 4 km Speed of walking = 3 km/hr Speed of running = 5…

Q: The area of a circular pond is about 138,656 square feet. You are going to walk around the entire…

A:

Q: The foundation for a rectangular Hardware Warehouse has a length 3 times the width and is 296 feet…

A: rectangle find length and widht perimeter and relation between length and width are given

Q: A runner competes in a 6-mile race. The year before her speed was 3 mph slower and it took her one…

A: To find the speed of runner this year.

Q: Max plans to build two side-by-side identical rectangular pens for his pigs that will enclose a…

A: Given:- Max plans to build two side-by-side identical rectangular pens for his pigs that will…

Q: A ribbon 56 centimeters long is cut into two pieces. One of the pieces is three times longer than…

A: Given:A ribbon 56 cm long is cut into two pieces.one of the pieces is three times longer thanthe…

Q: A space plane skims the edge of space at 4000 miles per hour. Neglecting​ altitude, if the…

A:

Q: The 12-foot board in the illustration has been cut into two parts, one twice as long as the other.…

A: Given,          The 12-foot board in the illustration has been cut into two parts, one twice as long…

Q: On a math test, Theo can answer 2 questions in 3 minutes. How many minutes will it take him to…

A: Given that Theo can answer 2 questions in 3 minutes. We have to find that in how many minutes Theo…

Q: Collin went on a bike ride of 24 miles. He realized that if he had gone 8 mph faster, he would have…

A:

Q: Leila made $276 for 12 hours of work at the same rate how many hours would she have to work to make…

A:

Q: Carl worked three more than twice as many hours as Cindy did. What isthe maximum amount of hours…

A: Let number of hours Cindy work = x Number of hours Carl work = 3x

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.