Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 581527: The train from C to D breaks down after 1 hour. The train has stopped because of 1/2 hour repairs, then, it continues on at 3/4 of its beginning rate, arriving at B 2 hours late. If the train had covered 75 miles more before the break down, it could be only1 hour late. What is the beginning rate of the train? Explain how you would get the answer.
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 581690: Two trains each make a journey of 330km. One of the trains travels 5km/h faster than the other and takes 30 minutes less time. Find the speeds of the trains.
Solve by forming and solving a suitable quadratic equation.
Click here to see answer by josmiceli(9649)  |
Question 581695: I'm having trouble understanding the question the book is asking. Please read the following passage and questions. The professor does not lecture and the text isn't helping - Thank you
A car and a truck are at a gas station. At 2:00 the truck starts traveling along the highway at a constant speed of 54mph. A quarter of an hour later, at 2:15, the car starts traveling along the same highway with a constant speed of 60mph. At what time will the car catch up with the truck?
Solve this problem algebraically using the following steps.
A) Let Δt be the number of hours the car travels between leaving the gas station and catching up with the truck. Is Δt the answer? If not, how can you get the answer once you found Δt?
I think Δt would be the answer as Δt equals the time between the car and truck...correct?
B) Write an expression for the car's distance from the gas station Δt hours after the car starts. Explain your reasoning.
C) Write an expression for the truck's distance from the gas station Δt hours after the car starts. Explain your reasoning.
D) Write your equation and tell why you set the two sides equal.
Click here to see answer by scott8148(6628)  |
Question 581710: The Smiths are moving across the state. Mr. Smith leaves 3.5 hours before Mrs. Smith. If he averages 40 mph and she averages 60 mph, how long will Mrs. Smith have to drive before she overtakes Mr. Smith?
I need a Let statement, an equation and a conclusion and I have to show all my work.
Click here to see answer by scott8148(6628)  |
Question 581972: Two women live on the same street, but live 1.5 miles apart. Each morning both women begin running at the same time in the same direction. Because of where she lives, Jane is always 1.5 miles ahead of Sue when they start running. Jane runs at a rate of 6 mph and Sue runs at a rate of 8 mph. How far from SUE'S house are they when Sue catches up? Be sure to label your answer. Round to the nearest whole number if needed.
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 582008: This is a Pre-Calculus problem involving vectors.
A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
a. What is the angle of the path of the sailboat?
b. What is the sailboat's speed with respect to the ocean floor?
Click here to see answer by Alan3354(30959)  |
Question 582260: Mr. Stewart rode a distance of 12 miles into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. The entire trip took 5 hours. How long did he travel?
I am not sure how to set up this problem...
Click here to see answer by mananth(12270)  |
Question 582260: Mr. Stewart rode a distance of 12 miles into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. The entire trip took 5 hours. How long did he travel?
I am not sure how to set up this problem...
Click here to see answer by KMST(1864)  |
Question 582245: On a river, a kayaker travels 2 miles upstream and 2 miles downstream in a total of 5 hours. In still water, the kayaker can travel at an average speed of 2 mph. Based on this information, what is the average speed of the current of this river?
Click here to see answer by mananth(12270)  |
Question 582213: After about 8 hours of a steady wind, the height (y) of waves in the ocean is linearly related to the duration of time (x) the wind has been blowing. During a storm with 40-knot winds, the wave height after 8 hours was found to be 22 feet, and after 23 hours it was 41 feet.
(a) Write a linear equation that relates the height to time.
(b) How long will the wind have been blowing for the waves to be 60 feet heigh?
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 582597: On a straight inclined track, a ball rolling uphill takes 1.3 seconds to slow down from a velocity of 135 cm/s to a velocity of 65 cm/s. On the same track, how much time would it take a rolling ball with velocity 85 cm/s to reach a velocity of 0? Explain your reasoning. Do not use algebra.
I know that it took 1.3 sec to decrease it's velocity from 135 cm/s to 65 cm/s by 70 cm/s. If it took 1.3 sec for that, would the velocity decrease from 85 cm/s to 0 cm/s at about 2.5 sec, which I believe I'm incorrect on.
Click here to see answer by scott8148(6628)  |
Question 582554: It takes Sally three minutes to go one mile with the wind at her back. Then it takes her four minutes on the ride back with the wind against her. What is the rate of the speed of the wind? Please help me. I tried this and got the answer of one over twentyfour.
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 583403: A train leaves Chicago heading for New Orleans traveling at a constant 50 mph. Assume a perfectly straight track and the distance to New Orleans to be exactly 1000 miles away. At the exact time the train leaves, an eagle leaves New Orleans headed for Chicago at a constant 75 mph and following the same tracks the train is on. When the eagle meets the train, he immediately reverses direction and heads back to New Orleans, whereupon when arriving at New Orleans he immediately turns back around and flies back to the train again. Again, when meeting the train, he turns back again to New Orleans and keeps repeating this until they both reach New Orleans. Assuming there is no delay in reversing direction for the bird (upon reaching the train, he immediately turns and is headed back at exactly 75 mph), how far will the bird have flown by the time the train reaches New Orleans? Show your work.
Click here to see answer by richard1234(5390)  |
Question 583403: A train leaves Chicago heading for New Orleans traveling at a constant 50 mph. Assume a perfectly straight track and the distance to New Orleans to be exactly 1000 miles away. At the exact time the train leaves, an eagle leaves New Orleans headed for Chicago at a constant 75 mph and following the same tracks the train is on. When the eagle meets the train, he immediately reverses direction and heads back to New Orleans, whereupon when arriving at New Orleans he immediately turns back around and flies back to the train again. Again, when meeting the train, he turns back again to New Orleans and keeps repeating this until they both reach New Orleans. Assuming there is no delay in reversing direction for the bird (upon reaching the train, he immediately turns and is headed back at exactly 75 mph), how far will the bird have flown by the time the train reaches New Orleans? Show your work.
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 583399: It takes three hours to drive to a city. If you had driven 10 mph slower it would have taken 36 minutes longer. How far did you drive? "I am a little confused because I thought I would need more information to solve a problem like this one. I thought at first to do this: 3 hours 3 hours 36 minutes, then have something else on the bottom of one to compare them to, but there is nothing, except I arrived at the city??????????"
Click here to see answer by ankor@dixie-net.com(15624)  |
Question 583416: a cargo plane flies 8500 km to deliver supplies to a remote jungle camp. after dropping off the supplies the plane returns home. the speed is 150km/h faster on the return trip, cutting the flight time by two hours. how long was the trip to the jungle
Click here to see answer by mananth(12270)  |
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