Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?

Q: Jack lives 750 miles from Phoenix, where he wants to visit. He drives at a rate of 60 miles per…

A: Given :Distance from Jack to Phoenix=750 milesSpeed=60 miles per hour

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

A:

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: David reads 40 pages of a book in 80 minutes. How many pages should he be able to read in 120…

A: It is unitary method.

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: Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as fast as…

A:

Q: rafael traveled from home to his province and covered 100km going home. his was 5kph faster than his…

A:

Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: Ryan usually bikes at an average rate of 12 miles per hour mph how long does it take him to hike a…

A:

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

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

A:

Q: It took Eric 9 hours to drive to a job interview. On the way home, he was able to increase his…

A: Case 1: Going for interview While going for the job, time, t1 = 9 hrs Let average speed, s1 = S…

Q: Mrs. Jackson traveled to a city 390 miles from his home to attend a meeting. Due to car trouble his…

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 car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an average speed of…

A: Given that  a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an…

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: Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to…

A:

Q: Annika finished 1/4 of her run in 1/2 of an hour. How long will her whole run take.

A: Soln :- Annika finished 14of her in12hour. Full run =4×14of her run

Q: The amount of water required for a yard which has been landscaped for a desert environment is 17% of…

A: The value of x% of y is calculated using the formula below.

Q: A small motorboat travels 16mph in still water. It takes 6 hours longer to travel 52 miles going…

A: To find the rate of current.

Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

Q: A family was taking a trip of 225 miles. On the way home, they were able to drive 5mph faster and…

A:

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: Jotaro is running west at 5 mph. Josuke is running north at 2 mph. After 2 hours how fast is the…

A:

Q: i can run 5 miles on one hour.At this rate,how long will it take me to run 7 miles?

A: I can run 5 miles on one hour. At this rate, how long will it take me to run 7 miles?

Q: A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles…

A: let x=speed of current15-x=speed of boat upstream15+x=speed of boat downstreamtravel…

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: A giant tortoise can travel 0.12 miles in 1 hour. At this rate, how long would it take the tortaise…

A:

Q: Jones covered a distance of 50 miles on his first trip on a later trip he travelled 300 miles going…

A:

Q: Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus…

A: Given that distance between the cites is 380 miles.Rate at which the bus travels is 76 miles per…

Q: Raymond can paint of a wall in 16 minutes. How long would it take him to paint of a wall?

A: Given Raymond can paint 58 os a wall in 16 minutes

Q: Mark Martin can row upstream at 5 mph and downstream at 11 mph. If Mark starts rowing upstream until…

A: Write the separate equation for each part of the trip: Upstream: d1= r1*t1 (1) d1= 5*t1 mi…

Q: Light travels at a rate of 186,000 miles per second. If our moon is 238,860 miles from Earth, how…

A: We know, Speed = DistanceTime ⇒ Time = DistanceSpeed

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: a football player runs 80 yards per 25 seconds.If he keeps the same rate of speed,how many yards…

A:

Q: On a recent trip, a trucker traveled 385 mi at a constant rate. Because of road conditions, the…

A: Given: The distance traveled with first speed is 385 mi and distance traveled with second speed is…

Q: jennie and her brother larry left their home at the same time for their separate vacations jenny…

A: Speed at which Jenny travels is 75 km/hr. Speed at which Larry travels is 60 km/hr.   Let x be the…

Q: ves Hibbing traveling west at 52 mph and another car leaves Hibbing at the same ng east at 65mph.…

A:

Q: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as…

A: From given information ,

Q: The half-life of Sodium-24 is 14.96 hours. If a sample contains 490 mg, how many mg will remain…

A:

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: Blake is doing laps around a track. Blake can run 3 miles per hour faster than he can walk around…

A:

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: A giant tortolse can travel 0.14 miles in 1 hour. At this rate, how long would it take the tortoise…

A: We can find it as below

Q: calculate

A:

Q: liver traveled 100 km at a certain speed. In going back, he increased his speed by 10 km/hr. If it…

A: Given :Oliver traveled at a certain speed = 100 kmIn going back, he increased his speed by 10…

Q: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

A: A cattle train left Miami and traveled toward New York . 14 hours later a diesel train left…

Q: Susan invests 3 times as much money at 8% as she does at 5%.  If her total interest after 1 year is…

A:

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.