Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 274989: Question: Marco drives 18 miles south, turns east, and drives 24 miles to get from his pet shop to his house. If the new road is built in a straight line from Marco's shop to his house, how long will the new road be?
This is the formula my book tell me to use:
a^2 + b^2 = c^2
This is what I have tired:
a^2 + b^2 = c^2
24^2 + b^2 = 18^2
576 + b^2 = 324
576 - 576 + b^2 = 324 - 576
b^2 = -252
b^2 = square root of -252
What am I doing wrong?
Click here to see answer by user_dude2008(1861) |
Question 275400: I flew from Pheonix to Tucson, a distance of 120 miles, at a constant speed of 120 mph, I then returned at a constant speed of 60 mph. what is my average speed, trip distance, displacement, and average velocity?
Click here to see answer by Alan3354(30993)  |
Question 275416: 2 cars leave town at the same time, going the same direction. ONe is traveling 40 mph, and the other is going 65 mph. In how many hours will they be 75 miles apart?
I have erased my work several times, so I don't know what I have or had anymore.
Click here to see answer by rfer(12662) |
Question 275448: Two cities are 405 miles apart. A car leaves one of the cities traveling toward the second city at 60mph. At the same time, a bus leaves the second city bound for the first city at 75mph. How long will it take them to meet?
Click here to see answer by mananth(12270)  |
Question 275473: Two cars leave town at the same time going in the same direction. One travels at 35mph and the other travels 45mph. In how many hours will they be 50 miles apart?
This is what I did but it the end results were not an option on my math assignment.....
35(x+50)=45x
1750+35x=45x
1750=10x
X=175
The answers I have to select from is 10 hours, 35 hours, 5 hours, or 1 hour...
Click here to see answer by mananth(12270)  |
Question 275491: A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could only fly 820 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. (Round your answers to one decimal place.)
rate of plane ________ mph
rate of wind _________ mph
Click here to see answer by mananth(12270)  |
Question 275491: A jet plane flying with the wind went 1030 mi in 2 h. Against the wind, the plane could only fly 820 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. (Round your answers to one decimal place.)
rate of plane ________ mph
rate of wind _________ mph
Click here to see answer by richwmiller(9143)  |
Question 275490: A boat travels down a river for 4 h (traveling with the current), then turns around and takes 6 h to return (traveling against the current.) Let b be the rate of the boat, in miles per hour, in calm water and c be the rate of the current, in miles per hour. Suppose the distance traveled down the river by the boat is 72 mi. Write a system of equations that can be solved to find the rate of the boat in calm water and the rate of the current.
downstream _______ = 72
upstream ________ = 72
Click here to see answer by ankor@dixie-net.com(15657)  |
Question 275481: one type of air blower can fill a blimp in 6 hours working alone, while a second blower fills the same blimp in 9 hours working alone. how long will it take both blowers working together.I need to know exactly how you got to the conclusion, not just the answer which i know is 3 hours and 36 minutes. Thanks
Click here to see answer by checkley77(12569) |
Question 275481: one type of air blower can fill a blimp in 6 hours working alone, while a second blower fills the same blimp in 9 hours working alone. how long will it take both blowers working together.I need to know exactly how you got to the conclusion, not just the answer which i know is 3 hours and 36 minutes. Thanks
Click here to see answer by Alan3354(30993)  |
Question 275564: A car travels from one town to another at a speed of 32 mph. If it had gone 4 mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns?
So far I have 32t = 36t + 18
-32t + 32t = 36t - 32t + 18 - 18
-18 = 4t
-18/4t = 4t/4
-4 1/2 = t
d = 32t
d = 32(-4.5)
d = -144
Is this right?
Click here to see answer by stanbon(57377) |
Question 275588: A motorboat traveling with the current went 60 mi in 3 h. Against the current, it took 5 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.
rate of boat _______mph
rate of current ______mph
Click here to see answer by scott8148(6628)  |
Question 275955: Carl and Kyle leave Kyle's house at the same time. Carl drives north and Kyle drives West. Carl's average speed is 9 mph slower than Kyle's. At the end of one hour, they are 45 miles apart. Find the average speed of Kyle. (Round off your answer to the nearest tenth).
Click here to see answer by ankor@dixie-net.com(15657)  |
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