Blake is doing laps around a track. Blake can run 3 miles per hour faster than he can walk around the track. If Blake walks around the track in 20 minutes and runs around the track in 15 minutes, at what rate is Blake walking?

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: Irina ran 1/2 mile in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

A:

Q: A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a…

A:

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

A:

Q: Two buses leave towns 302 miles apart at the same time and travel toward each other. One bus travels…

A: Buses travelling towards each other have an effective (relative) velocity of their added velocities.…

Q: Tanya, who is a long-distance runner, runs at an average speed of 8 miles per hour (mi/h). Two hours…

A: Let: t = Honda's travel timethen(t+2) = Runner's travel time Honda's dist = runner's dist…

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

A:

Q: Can I reach Pittsburgh, which is 612 miles away, if I drive for 7 and a half hours at a constant…

A: # as per the guidelines we are not entitled to give handwritten solutions Time of drive is 712hours…

Q: A man having ten hours at his disposal made an excursion, riding out at therate of 10 miles an hour…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

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…

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Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

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

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Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: Mark can overhaul a engine in 30 hours, and Phil can do the same work by himself in 20 hours. If…

A: Time taken by Mark to overhaul an engine=30 hours Time taken by Phil to do same work=20 hours…

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: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

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

A:

Q: Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a…

A: Please refer the attached image for complete solution.

Q: Jane spent 2 hours exploring a mountain with a dirt bike. When she rode the 40 miles uphill, she…

A: Let,  x be the jane's speed along the summit. jane's speed when she rode uphill is  (x- 5)mph To…

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: vian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels…

A: Given data: Total Distance = 136 mile. Time taken to reach their ( vian and Noelle) respective…

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: minutes

A: Speed of Jill jog = 2miles/15 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: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

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Q: If darin traveled 30 miles in 2 hours, and ed traveled three times as far in half the time, what was…

A: Darin travelled 30 miles in 2 hours. Ed travels thrice this distance in half the time.

Q: If you drive 270 miles and use 10 gallons of gas, what is your rate of gas consumption?

A:

Q: 2. A modern jet plane can go 400 mph more than twice as fast as a diesel powered train. If the train…

A: In the question it is asked to calculate the rate of each modern jet plane and train, which also…

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: It takes Andrew 60 min to drive to work in the morning. He drives home using the same route, but it…

A: Given, it takes Andrew 60 min to drive to work in the morning. He drives home using the same route,…

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: O Three months later, Pepe averaged a speed of of a mile in 10 of an hour, while Paula averaged of a…

A: Given average speeds of P1 and P2 are: P1: 45 of mile in 110 of an hour. P2: 56 of mile in 112 of an…

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could…

A:

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

A:

Q: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

Q: Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45 minutes. How…

A: Given, Ellen can wash her car in 60 minutes. Her older sister Sarah can do the same job in 45…

Q: Rodrigo works on his project for 38 minutes every three hours. Michael works on his project for 32…

A: topic - rate of doing work

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: 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: Ron traveled 6.8 miles of his delivery route in 1.2 hours. At this same rate, which of the following…

A: STEP :1  Here Ron travelled 6.8 miles in 1.2 hours.  Now we need to find the time  required for Ron…

Q: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

A: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

Q: Karina is 5 miles to the east of Franco, and she starts walking northward at 3 mph. After 30 mins,…

A: for simplicity consider Franco is steady and Karina move 3+4=7mph to North. distance between them is…

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: 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: The winner of a 1000 mile ease drove his car to victory at a rate of 134.8617 mph. What was his…

A:

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.