Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a steady rate of 52 miles per hour, how many hours will the trip take?

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: Conner is 156 miles away from Brayden. They are traveling towards each other. If Brayden travels 9…

A:

Q: A plumber who is just starting out offers low rates to attract new customers. He charges $35 to…

A: Charge to visit a client's home = $35 Charge per hour = $20 To find the time for which plumber works…

Q: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

A: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

Q: How long will it take a jogger jogging at 5 mph to catch up with a walker walking at 3 mph with one…

A: Speed of jogger 5mph Speed of walker 3mph

Q: A field provides grazing for 18 sheep for 8 days. How many days grazing would it provide for 24…

A:

Q: Kate wants to ride 10 miles on her bike. If she averages 1 mile in eight minutes, which is a…

A: Consider the provided question, Kate wants to ride 10 miles on her bike. She ride averages 1 mile in…

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: 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: A cargo plane flew to the maintenance facility and back. It took one hour less time to get there…

A: time =distance speed

Q: A professor wants to supplement her pension with investment interest. If she invests $31,000 at 6%…

A: money invest = $ 31000 interest = 6% interest per year = 31000 * 0.06                             =…

Q: A nursery has $40,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood…

A: Total inventory a nursery  in dogwood trees and red maple trees is $40,000. Profit on a dogwood tree…

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: Vivian went to the coffee shop traveling 12 mph and returned home traveling 8 mph. If the total trip…

A: This question can be solved by the concept of speed, time and distance.

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: It takes an ant farm 3 days to consume of an apple. At that rate, in how many days will the ant farm…

A: An ant farm takes 3 days to consume ½ of an apple. → An ant farm consume ½ of an apple in 3 days

Q: You invested $6000 between two accounts paying 4% and 5% annual interest, respectively. If the total…

A:

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: You invested $7000 between two accounts paying 5% and 8% annual interest, respectively. If the total…

A:

Q: You start your trip going 60mph, but you end up getting a flat tire. You change the flat, and now…

A: Let distance travel with 60 mph = x miles Distance travel with 45 mph = y miles Total distance…

Q: Two trains leave the same city at the same time, one going east and theother going west. If one…

A: It is given that, two trains leave the same city at the same time. And one of them is going east and…

Q: long would it take to board all 150 passengers?

A:

Q: a pilot flew a jet from Montreal to Los Angeles a distance of 2500 miles. on the return trip, the…

A:

Q: John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was…

A: Total distance travelled is,

Q: The store is selling lemons at $.56 each. Each lemon yields about 2 tablespoons of juice. How much…

A: Given  lemon's price is $0.56. one lemon gives 2 tablespoon of juice.

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

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: Liana was 10 miles from home at 2 pm and 70 miles from home at 3:30 pm. What was her average rate of…

A:

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: On a 300-mile trip to Chicago, Josh drove part of the time at 60 mph and the remainder of the trip…

A:

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: Jackie invested money in two different accounts, one of which earned 12%interest per year and…

A:

Q: how long will it take for her to have enough money for her project?

A: The compounded interest formula is expressed as A=P1+rnnt Where, P is initial amount, r is the…

Q: A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel…

A: Given:

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: Angelina was driving home from college at 75 mph. UT is about 375 miles from Lubbock where she…

A: Distance to be travelled=375 miles Average speed=75miles/hour Since,  time=distancespeed

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 invested $7000 between two accounts paying 6% and 8% annual interest, respectively. If the total…

A: If you invested $7000 between two accounts paying 6% and 8% annual interest respectively . If the…

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: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

A:

Q: After adjusting the Number of Servings in a recipe, Charlotte determined that She will need 64 table…

A: Given data:- Required flour = 64 table spoons 1 cup = 16 table spoons

Q: The store is selling lemons at $0.40 each. Each lemon yields about 2 tablespoons of juice. How much…

A:

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: You plan to take a 2000-mile trip in your car, which averages 32 miles per gallon. How many gallons…

A: We can explain the answer in the following steps.

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: Alexis is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90…

A: We have to find the time taken in hours by Alexis to reach her destination from her current position…

Q: Leila made $276 for 12 hours of work at the same rate how many hours would she have to work to make…

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: Carl worked three more than twice as many hours as Cindy did. What isthe maximum amount of hours…

A: Let number of hours Cindy work = x Number of hours Carl work = 3x

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.