1. It takes 4 hours for a man to do the job and 6 hours for a woman to do it. How long will it take for the two of them working together? a) 1 hour and 24 minutes b) 1 hours and 30 minutes c) 2 hours and 30minutes d) 2 hours and 24 minutes

Q: 1.  A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Step:-1 Part (a) Given that a rectangular pool of length =12 meter and width =8 meter Also, pool has…

Q: 2 towns A and B are situated 3km and 4km from a main road as shown in the diagram. Where should the…

A: Let J is x km away from point C. So JD=6-x

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by…

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

Q: that are The walls of a toilet, 2.5 m long, wide and 3 m high, are to be covered with tiles 15 cm by…

A: Dimensions of each tile is given as: 15cm×15cm Then, area covered by each tile is:  15×15=225cm2…

Q: A set of eight built-in bookshelves is to be constructed in a room. The floor-to-ceiling clearance…

A:

Q: 5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into…

A: Length of steel girder =27ft width of the passage way=8ft Let w be the width which has to be found.…

Q: 3). A printer need to make a poster that will have a total area of 200 in² and will have 1 inch…

A: A printer has total area =200in2 1 in marigi on sides 2in on top ,1.5 in bottom margins. Let L be…

Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two…

A:

Q: 8. The drive wheel of an engine is 13 inches in diameter, and the pulley which it is driving is 5…

A: We need to find total length of belt.

Q: 2. The officer of Oro Vista subdivision planned to build a basketball court with dimension of 30…

A:

Q: 4. A homeowner wants to enclose three adjacent rectangular pens of equal size along a straight wall.…

A: We have to find the largest area that can be enclosed using only 240 feet of fence

Q: The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base was…

A: The altitude of the Great Pyramid of Cheops is h=480 ft and its square base was a=764 ft on an edge.…

Q: 2. A printer needs to make a campaign poster that will have a total area of 200 in? and will have…

A:

Q: 8. A rectangular plot of land is to be seeded with grass. If the plot is 22 m by 28 m and a 1kg bag…

A: Given that, Dimension of rectangular plot = 22 by 28 1 kg bag of seed cover an area of 85 sq m

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

Q: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: We can see this problem can be modeled with an arithmetic sequence:   49, 46.5, 44, 41.5, 39, 36.5,…

Q: gutter with a trapezoidal cross-section is to be made from a long strip of metal 22 cm wide by…

A:

Q: Suppose three squares of uniform thickness are made of gold plate and you are offered either the…

A:

Q: A factory is to be built on a lot measuring 160 ft by 300 ft. A local building code specifies that a…

A: It is given that The factory and the lawn occupy equal areas. Suppose  that, The length of the…

Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: Here, we need to find the Lateral surface area of the cone with the given measurements. And, the…

Q: 1. A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be paint. If a liter of…

A: Given : A cylindrical tank with radius r = 0.75 meter, height h = 1.5 meters Also a liter of paint…

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: A wire of length L meters is to be divided into two parts; one part will be bent intoa square and…

A:

Q: In how many equal parts can a wire, 50 cm long be cut so that the product of its parts is a maximum?…

A:

Q: . The local park measures 60 m by 50 m. Part of the park is torn up to install sidewalk of uniform…

A:

Q: ' If there are 1 4 cu. ft. in a capacity ( in bushels ) of a hopper in the shape of an inverted…

A:

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

Q: Suppose that the length of the edge of a cube is doubled. Which of the following is NOT a true…

A:

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: 11. The sides of a quadrilateral are 10 m, 8 m, 16 m, and 20 m respectively. Two opposite interior…

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Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: 5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges.…

A: Solution of above question is shown below

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it…

Q: From a square piece of metal, whose side is 27 cm long, an open box with square base is to be made.…

A:

Q: 11) Conoco Phillip's Petroleum Company produces barrels of oil made of steel. If each barrel was 6…

A:

Q: The loose-leaf version of the textbook for this course is being remade. The area of each page within…

A: Given:The area of each page within which there will actually  be print will be 32 inches2 , and each…

Q: circumscribed a triangle having an area of 96 sq.cm. If one of the sides of the triangle is 20 cm,…

A: Given query is to find the sides of the triangle and the ratio of indicated areas.

Q: A manufacturer has an order for 20,000 megaphones. The megaphones, conical in shape, are to be 2…

A: This question is about a conical object formation. So, we have to use volume formula of cone having…

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: ngr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from the…

A: Volume of cone with radius r and height h is given by…

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

A:

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Give the dimensions of a rectangular aquarium 30 cm high that holds 42 liters of water. ..... Choose…

A:

Q: 2. A ladder 12 m long is placed so that its front is 3 m from a building. How far must the foot of…

A: This question can be solved by applying the concept of Pythagoras theorem.

Q: Why are there 27 cubic feet in 1 cubic yard? CA. Acube with volume of 1cubic yard fits exactly 27…

A:

Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…