Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1129065: Daniel left school traveling toward the dump four hours before Kayla. Kayla traveled in the opposite direction going 30 mph faster than normal Daniel for one hour after which time they were 300 mi. apart. How fast did Daniel travel?
Click here to see answer by Boreal(15235)   |
Question 1129052: Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 80. Two adults and three children must pay $ 57. Find the price of the adult's ticket and the price of a child's ticket.
Click here to see answer by josmiceli(19441)  |
Question 1129053: A kayak can travel 32 miles downstream in 4 hours, while it would take 8 hours to make the same trip upstream. Find the speed of the kayak in still water, as well as the speed of the current. Let k represent the speed of the kayak in still water, and let c represent the speed of the current.
Click here to see answer by Boreal(15235) |
Question 1129051: At a concession stand, seven hot dog left parenthesis s right parenthesis and four hamburger left parenthesis s right parenthesis cost $16.00; four hot dog left parenthesis s right parenthesis and seven hamburger left parenthesis s right parenthesis cost $19.75. Find the cost of one hot dog and the cost of one hamburger.
Click here to see answer by greenestamps(13195)  |
Question 1129037: Please keep in mind that this equation is set up like v squared, and the 0 is below the 2. It almost looks like 2/0 but there is not fraction line. I just couldn't type it like that. Please feel free to email me for a picture.
The formula for braking distance of a car:
d=0.018268 * v^2/0
where v0 is the initial velocity of the car (feet per second) and d is the braking distance (ft). In this model, the roadway grade is kept constant at 5% and the coefficient of friction at 0.8. In a school zone, you want the maximum breaking distance to be 10 feet since this seems like a reasonable distance to see a child who might be in the way of a driver.
A)What should you set as the speed limit (i.e. initial velocity of the car) so that the breaking distance is 10 feet or less? Round the the nearest foot per second.
_____ feet per second.
b. The equation x^2=9 has two solutions: 3 and -3. With that in mind, what is the other solution to the equation 10=0.018268⋅v^20, besides what you answered in (a)? Why is this other solution not the correct answer to the question in (a)?
The second solution is _____ feet per second.
It is not an answer to the question in part a because:
Click here to see answer by MathLover1(20849)  |
Question 1129136: Eduardo started biking to the park traveling 14 mph, after some time the bike got a flat so Eduardo walked the rest of the way, traveling 2 mph. If the total trip to the park took 8 hours and it was 52 miles away, how long did Eduardo travel at each speed?
Click here to see answer by josgarithmetic(39613) |
Question 1129422: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on the winding road was 2 hours.
Find the average speed on the level roasd if the entire trip was 384 miles
The bus speed on the level road was ? mph
Click here to see answer by t0hierry(194)  |
Question 1129422: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on the winding road was 2 hours.
Find the average speed on the level roasd if the entire trip was 384 miles
The bus speed on the level road was ? mph
Click here to see answer by josmiceli(19441) |
Question 1129524: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east while Car B starts driving at 55 mph to the north. At what rate is the distance between the two cars changing after (a) 5 hours of travel, (b) 20 hours of travel and (c) 40 hours of travel?''.
Click here to see answer by ikleyn(52754)  |
Question 1129572: A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.)
To the nearest minute, what is the half-life of this substance?
Click here to see answer by Boreal(15235) |
Question 1129716: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa, what is the volume flow rate of blood in the pulmonary artery? Give your answer in cm3/s. The viscosity of blood at 37°C is 2.1 x 10-3 Pa s.
Click here to see answer by ikleyn(52754) |
Question 1129853: Janet and Michael took a canoeing trip, traveling 6 miles upstream along a river, against a 2 mi/h current. They then returned downstream to all the starting point of their trip. If their entire trip took 4 hours, what was their rate in still water?
Click here to see answer by ikleyn(52754) |
Question 1129991: A small tree was planted at a height of 5 feet. The tree has been planted for 14 months, and is now 41.4 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?
A.
5x + 14 = 41.4
B.
14x + 5 = 41.4
C.
14x + 41.4 = 5
D.
41.4x + 5 = 14
Click here to see answer by MathLover1(20849) |
Question 1130021: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?
His speed equal-
wind speed equals-
Click here to see answer by josmiceli(19441) |
Question 1130066: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is flowing into the tank at a rate of 20 cubic feet per minute. Find the rate of change of the depth of the water when the water is 4 feet deep.
Click here to see answer by MathLover1(20849) |
Question 1130132: Good day! I tried to solve this problem but sad to say i am very poor when it comes to word problems especially distance problem. Thank you, i would like to seek for help. Thank you so much.
Problem:
A ship leaves port heading due west. After travelling at a speed of 20 km/h for 10hours, the ship makes a 90degree turn and heads south, travelling at the same speed. After travelling south for 7 1/2 hour, how far is the ship from the port..
Thank you for the help.
Click here to see answer by addingup(3677)  |
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