Two cars that started at the same point are driving away from each other. The first car is driving north at 25 mph, and the other car is moving south at a rate of 60 mph. How long (in hr) will it take for the cars to be 170 miles apart? (Enter an exact number.)

Q: A car travels 90 miles per hour, and a plane travels 15 miles per minute. How far (in miles) does…

A: We know that the distance = speed x time

Q: Suppose your dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

A: It is given that dorm is 3.66m wide by 3.66m long by 2.71m high and has an air conditioner that…

Q: A speedboat leaves a dock traveling east at 30 mi/hr. Another speedboat leaves from the same dock 20…

A: Given that the first speedboat leaves a dock traveling east at 30 mi/hr Also,  another speedboat…

Q: If a car travelled 5 Kilometers an hour faster. it would take one hoür less to travel 210…

A: Let the original speed be x.Then, increased speed will be x+5Time taken with increased speed =…

Q: At a certain time of day, a 6ft tall man casts a 4ft shadow. How tall is a tree whose height is 10ft…

A: Height of the man = 6ft Height of man's shadow = 4ft  Let the height of tree's shadow be x ft, then…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: As Saturn revolves around the sun, it travels at a rate of approximately 6 miles per second. Convert…

A: Given travel rate of Saturn             V= 6 miles per second

Q: The distance between two cities is 1700 km. How long will it take, in hours, to drive from one city…

A:

Q: A snail is at the bottom of 10-meter well. Each day it crawls up 3 meters, but at night, it slips…

A: The snail crawls up 3 meters at day, but slips down 2 meters at night. So gradually, everyday it is…

Q: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: A water tank can be emptied by using one pump for 5 hours. A second, smaller pump can empty the tank…

A: Given: A water tank can be emptied by using one pump for 5 hours. A second smaller pump can empty…

Q: As a result of Superstorm Sandy in 2012, many basements on Long Island were flooded. If a basement…

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: Two trains start at the same time and travel toward each other from cities 330 mi apart. How many…

A:

Q: An airplane travels at 165 km/h for 3 hr in a direction of 174 from a local airport. At the end of…

A:

Q: A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is five…

A:

Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: The boat sailed 24 km down the river and 15km along the river in 3 hours, and 8 km down the river…

A: Let the speed of boat down the river= x km/hour, The speed of boat along the river= y km/hour,

Q: A train travelled 720km in 9 hours.  How far would it travel in 11 hours?

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: Two cars started at a common point and travel in opposite direction. Car A travels at a speed of 55…

A: We will just use basic arithmetic to solve this question. We assume that car A moves in one…

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: A lizard is at the bottom of a 19-foot well. Each day it crawls up 5 feet, but each night it slips…

A: We have been given that a Lizard  is at the bottom of a 19  foot wall. It crawls up 5 feet during…

Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

A:

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: A rectangular lot 60 ft. Iong and 30 ft. wide is to be surrounded by a fence with posts 6 ft apart.…

A:

Q: Two cars are 336 miles apart of traveling toward each other on the same road. They meet in 4hr. One…

A: Let the speed of the slower car be 'x' ∴ The speed of the faster car = x+8 The cars are 336 miles…

Q: Mitzi drops a ball from a height of 10 m and notices that on each bounce the ball returns to about…

A: Definition used -                               Sum of the infinite geometric series - ( When…

Q: By increasing her usual speed by 15 kilometers per hour, a bus driver decreases the time on a…

A:

Q: An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the…

A: Given An instructor has graded 23 exam papers submitted by students in a class of 24 students, and…

Q: If it takes 1.5 hours for 5 workers to carpet 5 rooms in a newly built large motel, where all rooms…

A:

Q: An ant crawled from home to a flower at an average speed of 10 feet per minute, and then crawled…

A: Let the one way trip from home to the flower is x feet. Given that the speed while going from home…

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: A truck leaves a depot at 11 A.M. and travels at a speed of 45 mph. At noon,a van leaves the same…

A: Let after x hours when the van starts it will overtake the truck.  We will use the formula:…

Q: Two cars are driven at a constant speed on a test circuit. One makes a complete circuit in 84…

A:

Q: two cyclists, 90 mi apart ,start riding towards each other at the same time. one cycles twice as…

A:

Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: It takes one week for a crew to pave 3/5 kilometer of road.  At that rate how long will it take to…

A:

Q: The area of a square is 81 cm² If the same amount is added to one dimension and removed from the…

A: The area, A of a square is calculated using the formula, A=a2 , where, a is the side length.

Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

A:

Q: A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later.…

A: Given- A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds…

Q: Two resistors are wired in parallel, one of which is 100 ohms. If the total resistance is supposed…

A: The value of the second resistor needs to be 400 ohms.

Q: In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number…

A: Given :In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the…

Q: be covered by a search and rescue squad ,. Approximately , by how much does the area increase if the…

A: Given query is to find the increase in area if radius is increased by 500 meter.

Q: Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph,…

A: Two cars leaving from same destination traveling in opposite direction. Hence, their relative speed…

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

A:

Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Q: One end of a ladder 34 feet long slides down a vertical wall while the other end moves away from the…

A: Note:  According to our guidelines we are supposed to do only first question. Kindly repost other…

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.