A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return trip, because of fog, the ferry travels at an average speed of 10 mph. The total time for the trip is 4 h. How far is the island from the harbor?

Q: The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. If a musher is three times as…

A: Given,         The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. A musher…

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: A car-rental company charges a flat fee of $195 and $0.20 per mile to rent a popular model of a…

A: Given,          A car-rental company charges a flat fee of $195 and $0.20 per mile to rent…

Q: The Jones family drove to Disneyland at 50 miles per hour and returned on the same route at 40 mph.…

A: The Jones family drove to Disneyland at 50 miles per hour and returned on the same route at 40 mph.…

Q: Overland Express has delivery trucks that cover 20% fewer miles per week during the winter snow…

A: Given: Overland Express has delivery trucks that cover 20% fewer miles per week during the winter…

Q: Two trucks leave a warehouse at the same time. One travels due south at an average speed of 58 miles…

A:

Q: A family drove to a resort at an average speed of 25 mph and later returnedover the same road at an…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: Sarah went to the internet cafe traveling 6 mph and returned home traveling 12 mph. If the total…

A:

Q: A photographer charges $45 per hour and a sitting fee of $260. How many hours did the photographer…

A:

Q: it took a crew 2 hours and 40 minutes to row 6 kilometers upstream and back again. if the rate of…

A: Let x km/h be the rowing speed of the crew in still water Given the rate of the flow is 3 km/h Then…

Q: A train leaves Little Rock, Arkansas, and travels north 55 kilometers per hour. Another train leaves…

A: Given, one train leaves Little rock, Arkansas and travels north 55 kilometers per hourAnother train…

Q: The top of a soda can has a diameter of 4 inches. If You wrap a string around the soda can, how much…

A: The circumference is defined as the arclength of the circle. The equation for the circumference of…

Q: In Arlington, the library is 10 kilometers south of the courthouse and 24 kilometers west of the…

A:

Q: A truck-driver delivered a load from Shinas to Muscat, a distance of 264 Km, and then returned to…

A:

Q: A train leaves Little Rock, Arkansas, and travels north at 75 kilometers per hour. Another train…

A:

Q: During one 5-day period, Officer Fernandez drove his parol motorcycle 185 miles. If he drove 45…

A:

Q: a pilot flew a jet from Montreal to Los Angeles a distance of 2500 miles. on the return trip, the…

A:

Q: A gallon of paint will cover 560 square feet of wall space. If I plan to paint a room whose walls…

A: 560 square feet is painted by 1 gallon paint.  Then 1 square feet is painter by 1/560 gallon paint.…

Q: During the first part of a trip, a canoeist covered 70 km at a certain speed. He then traveled 30 km…

A: According to the problem, we have

Q: The current in the PadiWan river was only 3 miles per hour, so the flotilla could go 92 miles…

A:

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: 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: On a bicycle, Alicia rides for 3 hours and is 29 miles from her house. After riding for 7 hours, she…

A: We can write the distance as a function of time D(3)= 29 and D(7)= 65

Q: A family drove to a resort at an average speed of 30 mph and later returned over the same road at an…

A:

Q: for

A: In this question, concept of unitary method is applied. Unitary Method The unitary approach is a…

Q: A motorboat leaves a harbor and travels at an average speed of 18 mph to an island. The average…

A: Let the island is x miles away from the harbor.  We will use the formula Time = distance / speed…

Q: A man drove from his hometown 100 miles to New City at the rate of 80 miles per hour On the retum…

A:

Q: A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it…

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: On a 300-mile trip to Chicago, Josh drove part of the time at 60 mph and the remainder of the trip…

A:

Q: A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $273. A second…

A: A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $273. A second…

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

A:

Q: An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 2800 pounds. The weight of the elevator operator is 265…

Q: A local television station sells time slots for programs in 30 minutes intervals. If the station…

A:

Q: A train leaves Little Rock , Arkansas, and travels north at 75 kilometers per hour. Another train…

A: One train travels north at 75 kilometers per hour. Another train travels south at 60 kilometers per…

Q: A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it…

A: Given:Time taken by bus on the level road=3 hoursTime taken by bus on the winding road=4 hoursEntire…

Q: Two cars leave Las Vegas, Nevada, at the same time after visiting the Las Vegas Motor Speedway. The…

A:

Q: The sum of mABand mBC'is equal to A

A:

Q: Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1…

A: Given  Nina can ride her bike 63,360 feet in 3,400 seconds,  1mile=5280 feet

Q: A yoga studio charges a $150 yearly fee for membership plus $12 for each class.What is the average…

A: $150 is yearly fee. So it is fixed fee.

Q: While traveling to and from a certain destination, you realized increasing your speed by 10 mph…

A: Given the total distance of the roundstrip=600 miles. So, distance of destination from starting…

Q: A carpenter purchased 70 ft of redwood and 90 ft of pine for a total cost of $353. A second…

A: Let x and y denotes the cost of the redwood per feet and the cost of the pine per feet,…

Q: While traveling to and from a certain destination, you realized increasing your speed by 50 mph…

A: Let x =returning speed x-50=forward speed Distance covered during forward trip and return trip is…

Q: The owner of a local chocolate shop wants to develop a new trail mix. How many pounds of…

A:

Q: A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $266. A second…

A: Let ‘x’ be the cost of redwood per ft.Let ‘y’ be the cost of pine per ft.

Q: A plumber bought some pieces of copper and plastic pipe. Each piece of copper pipe was 7 meters long…

A: We will construct a system of linear equations according the given informations and will solve the…

Q: Two cars leave Detroit, travelling in opposite directions. One travels at a speed of 80 km/hour and…

A: It is known that, the distance formula is, D = ST, where D is the distance, S is the speed and T is…

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: A worker uses 560 inches of steel wire to make 350 springs of the same size. At training rate, how…

A: Given that  A worker uses 560 inches of steel wire to make 350 springs of the same size  To find the…

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.