Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline from the point nearest the boat. She can row 2 mph and can walk 5 mph. Where should she land her boat to reach the village in the least amount of time?

Q: Smith Engineering is in the process of reviewing the salaries of their surveyors. During this…

A: An experienced surveyor can survey a roadbed in 7 hours. ⇒Experienced surveyor can survey 17part of…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: To find least time Angelo has to run in shortest path.

Q: Anthony leaves Kingstown at 2:00 p.m. and drives to Queensville, 160 mi distant, at 45 mi/h. At 2:15…

A: Anthony leaves Kingstown at 2:00 p.m. and drives to Queensville, 160 mi distant, at 45 mi/h. At 2:15…

Q: A family is planning their vacation to Disney World. They will drive from a small town outside New…

A: New Orleans, Louisiana, to Orlando, Florida, a distance of 700 miles.  Average a rate of 55 mph.…

Q: The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000 sq.…

A: Given data:- Let,  Length of the fence= x feet  Width of the fence= y feet Area, A= 20,000 square…

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

A:

Q: The space probe Cassini has engines which can al low it to travel at 72,000 km/hr. However,…

A:

Q: A swimmer is in Lake Ontario, 2 km from shore. She needs to swim to shore, then run to a point along…

A: Refer the figure below. Assume the swimmer swims AB distance and runs BC distance. The shortest…

Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

A:

Q: The Johnsons are planning to build a 5-foot wide brick walkway around their rectangular garden,…

A:

Q: An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ftlonger than the other.…

A:

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: 1.

Q: An interior designer wants to place this bed in a home, and she is especially concerned about the…

A:

Q: Usain Bolt can run at a speed of approximately 33 ft per second. Trea Turner can run at a speed of…

A: Given Information -  Speed of Usain Bolt = 33 ft per sec Speed of Turner = 30 ft per sec If both…

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back at his house,…

A:

Q: A candy distrubator needs to mix a 20% fat-content chocolate with a 50% fat-content chocolate to…

A: Given- 20% fat-content chocolate needs to mix with a 50% fat-content chocolate to create 100…

Q: Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed by…

A: We need to find  the stake be placed to use the least amount of wire?

Q: Sean wants to build a ramp for his grandmother. According to the Occupational Safety and Health…

A: Here we use the concept of the trigonometric ratios

Q: Find the area of an ice rink in which the length is 42 ft more than six times the width and the…

A: We have to find the area of an ice rink in which length is 42ft more than six times of width and the…

Q: A natural gas company is laying an underground gas pipeline in a new area with a small lake that is…

A: Join the points A and B, then we obtain a right-angled triangle. Now using the Pythagoras theorem we…

Q: Aysia has a garden with dimensions of 17  ft. x 13 ft.  She will increase the area of her garden by…

A: Given: Aysia has a garden with dimensions of 17  ft. x 13 ft.  She will increase the area of her…

Q: If Kenny can limp at a speed of 2 miles per hour, how many seconds does it take him to get from the…

A:

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: What is the maximum amount of area you can fence with 400 feet of fencing if you need to make three…

A: Definition used -           Perimeter of a diagram - Sum of lengths of sides of the diagram is…

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

A:

Q: To approximate the profit from the production and sale of the 145th skirt, what value do you plug…

A: P(x) denotes the profit function and P'(x) denotes the marginal profit function.

Q: Ana has 40ft of fencing materials to be used for 3 sides of a rectangular garden, while a wall…

A:

Q: In the logging camps many years ago, horses were used to pull logs out of the woods rather than…

A: Given problem is :

Q: Jeff and Kirk can build a 75-ft retaining wall together in 11 hours. Because Jeff has more…

A:

Q: Ship A is 15 nautical miles west of Ship B and bears 336°T from ship C. Ship B on the other hand…

A: Ship A bears 3360T from ship C. Ship B bears 50042'T from ship C.To Find: How far is ship B from…

Q: You are standing on the bank of a river that is 100 m wide, and see someone needing help 300 m up…

A: bank of a river is 100m widesomeone needing help 300m up the opposite shoreswim=3m/srun=5m/sTo what…

Q: A rack climber starts at an e ation 630 feet abowe sea level and descends to a point 180 feet lower…

A:

Q: It takes Manu twice as long to clean the pool as it takes Ander. If it takes Ander t hr to clean the…

A: Given:Manu takes twice as long as to clean the pool as it takes by Ander.Let Ander takes t hr to do…

Q: on a bike ride of 72 miles. He realized that if he ha uld have arrived 8 hours sooner. How fast did…

A:

Q: 60° 20x 7x+5 В

A: The given figure :

Q: A high school is planning to build a new playing field surrounded by a running track. The track…

A: Given:-total length of running tracktwo laps= 1000 mlet, length of the rectangular infield area=L…

Q: Karina is 5 miles to the east of Franco, and she starts walking northward at 3 mph. After 30 mins,…

A: for simplicity consider Franco is steady and Karina move 3+4=7mph to North. distance between them is…

Q: Find the value of b2 of a trapezoid whose area is 30.69 cm2, b1 is 8.5 cm and whose height length is…

A:

Q: 2. Erwin stood 6 feet in front of Cenen, Marivic sat two feet away to Cenen"s left. How far was…

A:

Q: Patty used five sections of fencing to build a rectangular garden. two 4 ft4 ft sections two 6 ft6…

A: This question is based on forming rectangle .

Q: You had an infinite supply of water and a 5 ml and 3 ml gallons. How would you measure exactly 4 ml…

A:

Q: Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular…

A: The solid spikes are in the shape of right circular cone whose radius is 2 inches and height 6…

Q: The playing field for a particular spprt is rectangle whose length is 5 feet more than twice the…

A: To find sides of rectangular  playing field.

Q: One window washer starts at a height of 20 feet in the air and is rising at 2 ft/s. The second…

A: Let after t seconds the two window washers will be at the same height.    Given that, the first…

Q: Cheryl has a box that is in the shape of a rectangular prism. Its height is twice the length, its…

A:

Q: The plans for a shed call for a rectangular floor with a perimeter of 204ft. The length is two times…

A: Let width of rectangular floor be x ft Then length of rectangular floor =2x ft

Q: A rectangular bedroom is 7 ft longer than it is wide. Its area is 228 ft 2. What is the width of the…

A: Given, The area of the bedroom=228ft2 Let width =x ft And its length=(x+7)ft To find width (x) of…