The longest drive to the center of a square city from the outskirts is 10 miles. Within the last decade the city has expanded in area by 50 . Assuming the city has always been square in shape, find the corresponding change in the longest drive to the center of the city.

Q: A cattle train left the station and traveled toward the fueling station at an average speed of 18…

A: The equation that describes the relationship between the distance, time and speed can be defined as:…

Q: A 40­inch board is to be cut into three pieces so that thesecond piece is twice as long as the first…

A: Let the length of first piece is x inches. The length of second piece is twice as long as the first…

Q: A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track…

A:

Q: A train travelling at a uniform speed for 360 km. Would have taken 48 minutes less to travel the…

A:

Q: When the length of each side of a square is increased by 5 inches, the area of the resulting square…

A: area of square = side *side

Q: A train Travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A: GivenDistance =360kmSpeed =DistanceTimeTime=DistanceSpeed To findSpeed of train.

Q: 2. The delivery truck driver took 10 hr. to deliver products to an outline which is 600 km away from…

A:

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

A:

Q: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

A: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x - 17 meters long. If…

A: Recall:  Pythagoras theorem,  (Hypotenuse)2=(opposite side)2+(adjacent side)2   We have,…

Q: It takes you 59 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Given- It takes 59 seconds to walk from the first (ground) floor to the third floor of the building.…

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 ft². What are its dimensions?…

A:

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

Q: An airplane flies 450 miles with the wind and 330 against the wind in the same length of time. If…

A: It is given that,an airplane flies 450 miles with the wind and 330 against the wind in the same…

Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

A:

Q: One automobile starts out from a town at 8 a.m. and travels at an average speed rate of 60 mph. 2…

A: Let A be First automobile and B be second automobile

Q: A 46­foot piece of rope is cut into three pieces so that thesecond piece is three times as long as…

A: Given- A 46 ­foot piece of rope is cut into three pieces so that the second piece is three times as…

Q: A company found that an experienced surveyor can survey a roadbed in 5 hours. An apprentice…

A: Given, A company found that an experienced surveyor can survey a roadbed in 5 hours. An apprentice…

Q: A rectangle has a length of 13 meters less than 2 times its width. If the area of the rectangle is…

A:

Q: If a bear runs at 20 mph for 3 mins. and a human runs at 10 mph for 3 mins. show the formula needed…

A:

Q: A train travelsa distance of 300 km at constant speed.If the speed of the trainis increased by 5km…

A:

Q: The perimeter of a rectangle is 178 meters. If 4 meters were added to its width, the sum is half its…

A: Given : Perimeter of a rectangle =178 meters Lets w be the width . 4 meters were added to the width…

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: Let the length of the fence opposite to the house is = x ft So, the length of the other two sides=…

Q: If a parade 2mi long is proceeding at 3 mph, how long will it take a runner, jogging at 6 mph, to…

A:

Q: What positive number exceeds its cube by the maximum amount?

A:

Q: A Train travels 360 km at a uniform speed. If the speed had been 5 km/ hr more, it would have taken…

A: Given,          A train travels 360 m at a uniform speed. The speed had been 5 km/hr more, it…

Q: Two trains leave Los Angeles simultaneously traveling on the same track in opposite directions at…

A: Given: Two trains leave Los Angles simultaneously traveling on the same track in opposite directions…

Q: If a moose can run 35miles per hour for 100 meters, how long can it maintain top speed?

A: Given that the top speed of mouse is 35 miles per hours.

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x- 17 meters long. If…

A: The height of the tree is x meters. The length of the shadow is (x - 17) meters. The distance from…

Q: A train travelling at 48 kmph completely crosses another train having half its length and travelling…

A:

Q: It takes you 32 seconds to walk from the first (ground) floor of a building to the third floor. How…

A: Time taken to walk from First floor to third floor = 32 seconds Time taken to walk from First floor…

Q: Worker A can complete a task in 2 hours while worker B can complete the same task in 4 hours. How…

A:

Q: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

A:

Q: If two opposite sides of a rectangle increase in length, how must the other two opposite sides…

A: Given that if two opposites sides of a rectangle increases in length,the our aim is to calculate how…

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

Q: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

A: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

A:

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 7 miles…

A: Given if Jill jogs 2 miles in 15 minutes. To find: Time required to jog 7 miles at same rate.…

Q: While traveling to the office, Dolly drives her car at a speed of 60 kmph and then suddenly the car…

A: This is a question of kinetics, mathematical physics, and the application of Differential calculus.

Q: The lifespan of a hamster is 6 years less than that of a giraffe. The lifespan of a puma is 4 times…

A: Consider the lifespan of hamster, giraffe and puma be h, g and p respectively. Lifespan of hamster…

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

Q: If Jill josh 2 miles in 15 minutes how long will it take her to the nearest minute to jog 5 miles at…

A: Given that Jill jog 2 miles in 15 minutes. To find Time taken by the Jill to jog 5 miles at tye same…

Q: An 18­ foot board is cut into two pieces. If one piece is x feet, express the length of the other…

A: (18-x) feet

Q: A Train travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A:

Q: Suppose you use exactly 222 feet of wire fencing to enclose a rectangular grazing area for your…

A:

Q: A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides…

A:

Q: A natural number when increased by 12 , becomes equal to 160 times its reciprocal. Find the number

A:

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x-17 meters long. If…

A: Given:  Height of the tree=x meters Shadow=(x-17) meters The distance between the tips of the tree…

Q: A car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.