Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 252847: A plane takes off 200 miles east of its destination with a 50 mph wind from the south. If the plane’s velocity is 250 mph and its heading is always toward its destination, its path can be described by the equation below. If the location of the initial airport is (0,0) and the location of the destination airport is (200, 0), y represents the perpendicular distance from the straight line path between initial location and the destination location. When x = 150 miles, how far from the straight line path is the plane? That is, what is y?
I have tried this one about 5 times and I keep coming up with nothing. Please help!
Click here to see answer by stanbon(75887)  |
Question 252848: An air traffic control towel at an airport located in flat dessert terrain, the controller can see to the horizon. The distance d in miles that he can see from a height above ground level h (in feet) is given by the following equation. How high must the controller be to see 20 miles to the horizon? Round to the nearest foot.
D=(the sq root of 1.5h
I am not getting this problem. Would someone please help me?
Click here to see answer by richwmiller(17219)  |
Question 252843: A military jet flies directly over and at right angles to the straight-line course of a commercial jet. The military jet is flying 200 mph faster than four times the commercial jet. How fast is each going if they are 2050 miles apart (on a direct line) after 1 hour?
Please Help! I have to show my work and I keep getting lost.
Click here to see answer by richwmiller(17219) |
Question 250533: While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)=-16t^2+6400. When will the sunglasses hit the ground?
The sunglasses will hit the ground after __ seconds.
Click here to see answer by dabanfield(803) |
Question 252959: A hiker can walk at an average speed of 2 mph uphill and 6 mph downhill. Suppose he takes a hike on a mountain road which goes only uphill or downhill. What will be his average speed for such a trip, assuming he finishes at the level he started?
Click here to see answer by drk(1908) |
Question 252965: A trackwalker was walking through a tunnel when he heard the train was coming. Looking at the markers inside the tunnel, he realized that he was 2/5 of the distance from one end of the tunnel, and 3/5 of the distance from the other end. If he runs as fast as he can toward either end, he will escape from the tunnel. If the train is moving at 60 mph, how fast can the trackwalker run?
Click here to see answer by richwmiller(17219) |
Question 252992: A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway?
Click here to see answer by ptaylor(2198)  |
Question 252992: A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway?
Click here to see answer by Alan3354(69443)  |
Question 253024: A cow is tied up to the long side of a barn 10 feet away from the corner. The rope being tied to the barn is 21 feet long. the barn is 11 feet wide and 28 feet long. what is the total area of the space in which the cow may graze.
hello. please if you answer this explain it because i think ill be having to do these questions alot.
thank you
Click here to see answer by Alan3354(69443) |
Question 253024: A cow is tied up to the long side of a barn 10 feet away from the corner. The rope being tied to the barn is 21 feet long. the barn is 11 feet wide and 28 feet long. what is the total area of the space in which the cow may graze.
hello. please if you answer this explain it because i think ill be having to do these questions alot.
thank you
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 253110: Can you please help me solve this word problem, I have tried multiple times and cannot figure it out, thank you for your help :
Two planes start from the same airport and fly in opposite directions. The second plane starts 1/2 hour after the first plane, but its speed is 80 km per hour faster. Find the groundspeed of each plane if 2 hours after the first plane departs the planes are 3200 km apart.
Click here to see answer by Edwin McCravy(20064)  |
Question 253138: Elvira drives into the city to see a play. Due to traffic, she can only travel at arate of 15 mph. On her ride home, she is able to average 35 mph. Her total travel is 2 hours. How long does it take her to get home?
Click here to see answer by Greenfinch(383)  |
Question 253161: 1.)two airplanes take off at Manila Domestic Airport at the same time and fly in opposite directions. Their rates are 840kph and 860kph. Find the elapsed time when thy are 6800 km apart?
2.)Two men start from different points and travel towards each other. The rate of the first man is 5.6kph and tht other travels 0.4kph fatster than the first. How far apart were they after 1.5hours?
3.)A starts from the starting line and runs at a rate of 12kph. B leaves the starting line 12min later and runs at 18kph. In how many hours will B overtake A?
4.)A farmer with his fully loaded produce truck travels to market at 60kph. He leaves at 6am. The return trip begins at 3pm travelling at 80kph ang takes 1.5hours less time. Find the total travel time for the trip to and from the market.
Click here to see answer by Greenfinch(383) |
Question 253269: In July of 1997, the first cliff diving world championships were held in Brontallo, Switzerland. Participants performed acrobatic dives from heights up to 92 feet. Suppose a cliff diver jumps from this height with an initial upward velocity of 5 feet per second. How much time does the diver have to perform acrobatic manuevers before hitting the water?
Click here to see answer by Greenfinch(383) |
Question 253519: Lisa bought on calculator and a textbook in math. Her bill including the 7.25% sales tax came out to be $100.58. The textbook was five dollars less than twice the price of the calculator.
How much was each item before tax?
Click here to see answer by rfer(16322) |
Question 253546: John leaves his house at 10 am and drives east at 50 mph. Mike leaves his house at the same time and drives west at 45 mph. If their houses are connected by a straight highway running east-west (no stoplights or towns) and are 350 miles apart then how far from Johns house will they meet and what time will they meet?
I do not know how to create the equation.
Thanks,
Amy LaCroix
Click here to see answer by richwmiller(17219) |
Question 249709: Martha was leaning out of the window on the second floor of her house and speaking to Steve. Suddenly, her glasses slipped from her nose. The glasses hit the ground in 2.2 seconds. Neglecting the effects of air resistance, answer the questions below.
A. What is the height of the window from the ground?
B. What was the impact velocity of the glasses?
Click here to see answer by Alan3354(69443) |
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