When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in the opposite direction, against the wind, it takes 8 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

Q: A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7…

A: To determine the respective speeds (by solving equations)

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 9 miles…

A: Given, Jill jogs 2 miles in 15 minutes  We have to find in how minutes she will take to jog 9 miles…

Q: A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow…

A: Given that A fast train takes 3 hours less than a slow train for a journey of 600kms The speed of a…

Q: A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car travels…

A:

Q: If the speed limit is 65 miles per hour and a​ person's trip takes 2 hours at that​ speed, how much…

A: Speed of a person=65 miles per hour Time taken by a person to complete trip=2 hours We know that,…

Q: A motorboat travels  357  kilometers in  7  hours going upstream and  808  kilometers in  8…

A: Let the rate of the boat in still water is = x km/hour and  the rate of the current is = y km/hour…

Q: What is the time needed to travel a distance of  10x2 + 3x − 4  miles if the rate is  5x + 4 mph?

A: Please refer the attached image for complete solution.

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

Q: An airplane flies 450 miles with the wind and 330 against the wind in the same length of time. If…

A: It is given that,an airplane flies 450 miles with the wind and 330 against the wind in the same…

Q: Two hikers are 11 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between 2 hikers:= 11 miles;           Difference of their speeds:= 1.1 mph;

Q: A cyclist managed to ride 5 miles against the wind in the same time that it took him to 10 miles…

A: Let x = rate of speed of the cycle  He ride 5 miles against the wind and 10 miles with the wind.

Q: A host covers 32 km upstreams and 36 km downdtreams in 7 hours.Also, it covers 40 km upstreams and…

A:

Q: A fishing boat can travel 60 km with a 2.5-km/hr current in 2 hr less time than it can travel 60 km…

A: It is given that, boat travel 60 km in 2 hr less time.  Let rate of boat in still water, is S…

Q: If a person rows to his favorite fishing spot 9 miles downstream in the same amount of time that he…

A:

Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

A:

Q: The value of a glass varies directly as the square of its radius x cm. glass with radius 5 cm is $…

A: Given':  The value V of glass varies directly as the square ofnits radius " x" c.m  V =k*x^2  If…

Q: With the current, a motorboat can travel 84 miles in 2 hours. Against the current, the same trip…

A: Let average velocity of boat in still water be x mph. And average velocity of the current be y mph.…

Q: With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6…

A: Distance = 9 miles Time with the current = 2 hours return time = 6 hours

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: If they meet in 3 hours, what is the rate of each train

A:

Q: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is…

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed…

Q: A plane can fly 300 miles in the same time as it takes a car to go 100 miles. If the car travels 100…

A:

Q: When a small airplane flies with the wind, it can travel 450 miles in 3 hours. When the same…

A:

Q: A plane can fly 850 miles in the same time as it takes a car to go 300 miles. If the car travels 110…

A: Explanation of the answer is as follows

Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream,…

A:

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Given, Distance covered when flying with the wind is, d1=4200 miles Time taken is t1=6 hours…

Q: An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going…

A: Given  Speed of airplane=150 mph Time taken by airplane against wind t1=2.8 hours Time taken by…

Q: A plane can fly 1360 miles in the same time as it takes a car to go 400 miles. If the car travels…

A: The objective is to find the speed of the plane .

Q: Two automobiles are 276 miles apart and start at the same time to traveltoward each other. They…

A:

Q: If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2 - 2x + 1) hours, what is the…

A:

Q: he volume of a cone varies jointly as its height, and the square of its radius. If a cone with a…

A: Given: The volume of a cone varies proportional to its height and square of its radius. Volume of…

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 7 miles…

A: Given if Jill jogs 2 miles in 15 minutes. To find: Time required to jog 7 miles at same rate.…

Q: When a plane flies with the wind, it can travel 4200 miles in 6 hours. When the plane flies in the…

A: Let x and y be the average velocity of the plane in still air and the average velocity of the wind…

Q: The lifespan of a hamster is 6 years less than that of a giraffe. The lifespan of a puma is 4 times…

A: Consider the lifespan of hamster, giraffe and puma be h, g and p respectively. Lifespan of hamster…

Q: What is the time needed to travel a distance of  12x2 + 17x − 5 miles if the rate is 3x + 5 mph?

A: Here I am attaching image so that you understand each and every step.

Q: Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel in opposite…

A: Given,            Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel…

Q: An airliner flies at 510 mph in the jet stream, but only 270 mph returning against it. What is the…

A:

Q: A plane can fly 560 miles in the same time as it takes a car to go 120 miles. If the car travels 110…

A: Consider the speed of the plane is given by x mph. Consider the speed of car is given as y mph. The…

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

Q: An airplane averages 130 mph. If a trip from Atlanta to Charleston takes 2 hours going against the…

A: let's assume speed of airplane is u, speed of wind is v and total distance covered is 2d miles we…

Q: A plane can fly 960 miles in the same time as it takes a car to go 240 miles. If the car travels 120…

A: Let us suppose,  speed of plane = v mph Since, speed of car is 120 mph slower than speed of plane…

Q: When a small plane flies with the wind, it can travel 800 miles in 5 hours. When the plane flies in…

A: Consider the average velocity of a plane be "x". Consider the average velocity of the wind be "y".…

Q: When a plance flies with the wind, it can travel 1440 miles in 3 hours. when the plane flies in the…

A:

Q: With the current, a motorboat can travel 84 miles in 2 hours.Against the current, the same trip…

A: Let the velocity of boat in still water be a miles/hour and the velocity of current be b miles/hour.…

Q: A motorboat takes 3 hours to travel 108 miles going upstream. The return trip takes 2 hours going…

A: Let x be the speed of a motorboat in still water and y be the current rate.

Q: A private jet can fly 1150 miles against a 35-mph headwind in the same amount of time it can fly…

A: Given that: Distance travelled against 35 mph headwind= 1150 miDistance travelled with 35 mph…

Q: When a plane flies with the wind, it can travel 2160 miles in 3 hours. When the plane flies in the…

A: Let the average velocity of the wind = w miles per hour  Let the average velocity of the plane in…

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…