A long distance runner started on a course running at an average speed of 6 mph. One hour later, a second runner began the same course at an averagespeed of 8 mph. How long after the second runner started will the secondrunner overtake the first runner?

Q: As part of her fitness program, Karen has taken up jogging. If she jogs 1 mi the first day and…

A: Formula:   Consider the arithmetic progression is a, a+d, a+2d,……….a+(n-1)d. Formula for nth term n…

Q: mountain climber descends at a rate of 20 meters per second. how far will he bescend after 6 second

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Q: If a bear runs at a top speed of 20mph for 3 minutes and a human runs at a top speed of 10 mph for 3…

A: If we were graphing, then the y-axis would be for distance and the x-axis would be for time in…

Q: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

Q: Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. How…

A: To determine the number bacteria at the end of 24 hours.

Q: How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if…

A: Given: A bus traveling at 60 miles per hour to overtake a car traveling at 40 mph

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: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 2 times…

A:

Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). At this…

A: Given Machine drills holes for wells to a depth of -72feet in 24 hours we have to find how many…

Q: A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half…

A: Given:

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

A:

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

A:

Q: A giant tortoise can travel 0.18 miles in 1hour. At this​ rate, how long would it take the tortoise…

A: Given:

Q: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: SOLUTION-

Q: There is a population of 18 bacteria in a colony. If the number of bacteria doubles every 177 hours,…

A: This is an exponential growth problem: A0ertGiven intital bacteria=18Given the bacteria dobules so…

Q: ​ truck, moving​ continuously, averages 52.5 mph for 8.75 hr. How far does

A:

Q: A boat can travel 8 miles downstream in the same amount of time it can travel 5 miles upstream. If…

A: If the speed of a boat in still water is u mph and the speed of the stream is v mph , Then  Speed of…

Q: Two bikers start riding from the same spot at the same time. The first goes east at a speed of 8…

A:

Q: The average height of a giraffe is about 2 x 10^1 feet. The average height of an ant is about 4 x…

A:

Q: The population of Bunny Kingdom is monitored by a bunny enthusiast, who notices that the population…

A:

Q: For a set amount of time, the distance Kirk can run is directly related to his average speed. If…

A:

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

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: A boat leaves a dock at 4:00 PM and travels due south at a speed of 20 km/h. Another boat has been…

A:

Q: A certain drug breaks down in the body at a rate of 18% per hour. If an initial dosage is 500…

A:

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: A train travels 96 miles in 3 hours.  At this rate, how long will it take to make a 480 mile trip?…

A: Given : A train travels 96 miles in 3 hours.

Q: A speedboat can travel at rate of 30 miles per hour. At this rate, what is the distance that the…

A:

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. Enter the answer,…

A: We have to find out how many miles the space ship travelled.

Q: A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many…

A:

Q: According to​ statistics, a person will devote 3131 years to sleeping and watching TV. The number of…

A:

Q: A tub can be filled in 10 minutes and drained in 8 minutes. How long will it take to empty a full…

A: Let's find.

Q: A colony of 7,800 bacteria doubles in size every 429 minutes. What will the population be 858…

A:

Q: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and continued to…

A: Given: At Romar's garden, a sunflower was 14 centimeters tall when it was first planted, and…

Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: A body at a temperature of 50 degree Fahrenheit is placed in an oven whose temperature is kept at…

A: toNewtonisdawAccordingof coolingdTTs-KLT-Ts)1surrounding tempis temp after itminutesdtTlt)>dT-k…

Q: One custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

A: Given 1 custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

Q: A canoeing club travels 78 miles in 3 days. How far could they travel in 5 days if they maintain the…

A: Distance travelled by canoeing club, d = 78 miles in time, t = 3 days

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. What will the size…

A: Given Information: A bacteria culture initially contains 1500 bacteria and doubles every half hour.…

Q: A culture of bacteria doubles every 2 hours. If there are 500 bacteria at the beginning, how many…

A: The initial population, P0=500Time of growth, t=24 hourstime of doubling, d=2 hours

Q: The number of insects attracted to bright light is currently 8. If the number is expected to…

A: Lets say initial quantity is A0 =8

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

Q: A lightbulb consumes 3600 watt-hours per day. How long does it take to consume 20700 watt-hours?

A:

Q: A research team has found that the weight of an adult blue whale is 81 times that of a newborn whale…

A: At first The given condition are put like an equation and then solve it for answer.

Q: In a racing contest, there are 240 cars which will have fuel provisions that will last for 15 hours.…

A: Given: Number of cars =240 with full fuel Every 15 hours 8 cars withdraw from the race

Q: The world famous mascot, Sammy the Seahawk, runs 3 times around a track of unknown length at a…

A: Let the length of the track be l.So the distance covered in three laps is 3l.And the time taken for…

Q: A group of hikers from Tulsa hiked down into the Grand Canyon in 2.5 hours 30 minutes. Coming back…

A: Formula: If D, R, T represent distance, rate and time then, D = RT Given: Tulsa hiked down into the…

Q: Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times…

A:

Q: if kayla jogs 2 miles in 17 minutes, how long will it take her to jog 3 miles at the same rate?

A: Kayla covered 2 miles of distance in 17 minutes With the same rate, time taken by her to cover 3…

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.