# Questions on Word Problems: Travel and Distance answered by real tutors!

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 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 Question 147411: An airplane flew for 6 hours with a tail of 60 km/hr. The return flight against the same wind took 8 hours. Find the speed of the airplane in still air. Click here to see answer by stanbon(57307)

 Question 147410: An airplane flew for 3 hours with a tail wind of 40 km/hr. The return flight against the same wind took 4 hours. Find the speed of the airplane in still air. Click here to see answer by Electrified_Levi(103)

 Question 147407: A fishing boat traveled 3 hours against a 6km/hr current. The Return trip took only 2 hours. Find the speed of the boat in still water. Click here to see answer by Electrified_Levi(103)

 Question 147770: I'm having the toughest time trying to figure out this Word problem but I can not seem to get it. It takes a computer 8 days to print all of the personal letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it? Click here to see answer by Alan3354(30993)

 Question 147774: the current in the river flowed at 3 mph. that boat could travel 24 miles downstrea in 1/2 the time it took to travel 12 miles upstream, what was the speed of the boat in still water? Click here to see answer by stanbon(57307)

 Question 147844: Jake Johnson dives off the high dive at a pool. His distance from the surface of the water varies quadratically with the number of seconds that have passed since he left the board. His distances at times of 1, 2, and 3 seconds since he left the board are 24, 18, and 2 meters above the water, respectively. How do you write the particular equation expressing distance in terms of time? Click here to see answer by stanbon(57307)
 Question 147844: Jake Johnson dives off the high dive at a pool. His distance from the surface of the water varies quadratically with the number of seconds that have passed since he left the board. His distances at times of 1, 2, and 3 seconds since he left the board are 24, 18, and 2 meters above the water, respectively. How do you write the particular equation expressing distance in terms of time? Click here to see answer by josmiceli(9669)

 Question 148067: s(t)=-16t^2+75t+407, Where t is the number of seconds elapsed. How long will it take the ball to reach a height of 450 feet above the ground? You may use the Quadratic formula or completing the square. You might get two answers. Think about this: 450 feet may not be the highest elevation it gets. Unless 450 is the highest (think vertex), then it will reach that height as it comes up, reaches it again as it comes down. Round your answer(s) to the nearest tenth! Click here to see answer by nerdybill(6958)

 Question 148189: A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings. Miles per gallon Frequency Less than 15 2 16-20 4 21-30 13 31-40 5 Over 40 1 Which of the following quantities can be obtained from the table? a.The number of cars that got over 30 miles per gallon. b.The number of cars that got less than 10 miles per gallon. c.The number of cars that got 30 miles per gallon. d.The number of cars that got 20-30 miles per gallon. Click here to see answer by edjones(7569)

 Question 148222: On Monday, Roger drove to work in 55 minutes. On Tuesday, he averaged 8 miles per hour more, and it took him 8 minutes less to get to work. How far (in miles) does he travel to work? Click here to see answer by ankor@dixie-net.com(15649)

 Question 148362: After riding at a steady speed for 40 miles, a bicylist had a flat tire and walked 5 miles to a repair shop. The cycling rate was 4 times faster than the walking rate. If the time spent cycling and walking was 5 hours, at what rate was the cyclist riding? Click here to see answer by ptaylor(2048)

 Question 148460: A biker rode the first 20 miles of a trip at a constant rate. For the next 16 miles, the biker reduced his speed by 2 mph. The total time for the 36 miles was 4 hours. Find the rate of the biker for each leg of his trip. Click here to see answer by stanbon(57307)

 Question 148457: A plane flying the 3458 mi. trip from New York City to London has a 50 mph tailwind. The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required to continue on to London. If the speed of the plane in still air is 360 mph, how far is New York from the point of no return. Click here to see answer by stanbon(57307)

 Question 148505: Approximate speed car traveling when brakes are suddently applied, use equation S=4.47L½. S= speed of car in miles per hour and L = length of skid marks left by the tires in feet. If 196-foot long skid marks were left by the car, at what speed was it traveling when the breaks were applied? Click here to see answer by stanbon(57307)

 Question 148587: Find the slope intercept equation of the horizontal line passing through the point (-5,-7) Click here to see answer by Fombitz(13828)

 Question 148676: A plane leaves an airport and flies south at 188 mph. Later, a second plane leaves the same airport and flies south at 470mph. If the second plane overtakes the first one in 2.5 hours, how long of a head start did the first plane have? a. 2hr b. 3hr c.3.75 hr d. 4.75hr e. 6.25hr I just can't figure this out. Please help. My e-mail address is kslau94828@aol.com Click here to see answer by ankor@dixie-net.com(15649)

 Question 148702: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the friver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? Click here to see answer by nerdybill(6958)

 Question 148845: The posted speed on a highway is 65 miles per hour. Car A is 40 feet long. Car B is 20 feet long. If car A is in the lead traveling at 60 mph and car B is 50 feet behind car A traveling at 65 mph, how many feet will it take for car B to pass and gain a 50 foot lead on car A without exceeding the speed limit? Please show me the formula to solve this. Click here to see answer by ankor@dixie-net.com(15649)

 Question 149039: Two trains leave the depot at the same time, one traveling east and the other west. The speed of one train is 9mph slower than the other. If after 4 hours the distance between the trains is 196 miles find the speed of each train. Click here to see answer by mangopeeler07(462)

 Question 149044: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? Click here to see answer by ptaylor(2048)
 Question 149044: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? Click here to see answer by Electrified_Levi(103)

 Question 149146: On Monday, Serena averaged 40 mph while making sales calls. On Tuesday, she drove for 2 hours more than she did on Monday and averaged 50 mph. If her total distance for the two days was 280 miles, then how many hours did she drive on Monday? Click here to see answer by mangopeeler07(462)
 Question 149146: On Monday, Serena averaged 40 mph while making sales calls. On Tuesday, she drove for 2 hours more than she did on Monday and averaged 50 mph. If her total distance for the two days was 280 miles, then how many hours did she drive on Monday? Click here to see answer by josmiceli(9669)

 Question 149153: The time to drive from Gotham City to Farmville varies inversely with the average speed. If the drive takes 6.8 hours at 40 mph, then how long will it take at 61 mph? Round to the nearest tenth of an hour. Click here to see answer by mangopeeler07(462)

 Question 149162: An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train. By process of elimination and using random speeds and times, I have come up with the final answers of Express traveling at 50 mph and taking one hour to arrive in Chicago while the Local traveled at 25mph and arrived in Chicago in two hours. I cannot think how to express how to work this problem in algebraic terms - we are required to solve using linear equations. This problem is not in a textbook that I am aware of and I have been workin on this for 10 hours now. Please help.... Click here to see answer by ankor@dixie-net.com(15649)

 Question 149180: I found a very similar problem to this one but when I went through all the steps the answer came out negative and Im pretty sure you cant have a negative speed? Alvin paddled for 4 hours with a 6km/h current to reach a campsite. The return trip against the current took 10 hours. Find the speed of Alvin's canoe in still water. Click here to see answer by edjones(7569)
 Question 149180: I found a very similar problem to this one but when I went through all the steps the answer came out negative and Im pretty sure you cant have a negative speed? Alvin paddled for 4 hours with a 6km/h current to reach a campsite. The return trip against the current took 10 hours. Find the speed of Alvin's canoe in still water. Click here to see answer by josmiceli(9669)

 Question 149269: Car A and car B are traveling in the same direction. Car A is traveling at a constant velocity of 60 mph. and car B is traveling at a constant velocity of 75mph. If car A reaches mile marker M 4 minutes after car B, how much time will elapse between the time that car A reaches mile marker M, and the time that the cars are 20 miles apart? Click here to see answer by ankor@dixie-net.com(15649)

 Question 149374: A plane which can fly 100 miles an hour in still air can fly 500 miles with a wind which is blowing at a certain rate in 5/8 of the time it would require to fly 500 miles against a wind blowing at the same rate. What was the rate of the wind? Click here to see answer by ankor@dixie-net.com(15649)

 Question 149371: A cyclist rode 40 mi. before having a flat tire and then walking 5 mi to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 h. Find the rate at which the cyclist was riding. Click here to see answer by ankor@dixie-net.com(15649)
 Question 149371: A cyclist rode 40 mi. before having a flat tire and then walking 5 mi to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 h. Find the rate at which the cyclist was riding. Click here to see answer by mangopeeler07(462)

 Question 149434: A man in a canoe is paddling upstream. He passes a floating log (going downstream) at the Elk's Lodge. He continues to paddle for 90 more minutes, before turning around to go downstream. The canoer reaches the log again at the sewer plant which is exactly 1 mile from the Elk's lodge. At what rate is the river flowing? Click here to see answer by ankor@dixie-net.com(15649)

 Question 149667: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? A. 8.1 B. 8.3 C. 8.6 D. 8.9 correct answer E. 9.0 I can't figure this out. We have Rate1 x time1 = rate2 x time2, and I can't get anywhere with that. Please help! Click here to see answer by nerdybill(6958)

 Question 149591: Car A and car B are traveling in the same direction. Car A is traveling at a constant velocity of 60 mph and car B is traveling at a constant velocity of 75mph. If car A reaches mile marker M 20 minutes before car B, how much time will elapse between the time that car B reaches mile marker M and the time that car B reaces car A? Click here to see answer by ankor@dixie-net.com(15649)

 Question 149707: I am having serious dificculty on finding out speed of the express train and the local train. I know that I double the speed of the express train, by the speed of the local one, but what step do I need to take to find out the speed of the local train? Question: An express and local train leave Gray's lake at 3 pm and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of it. Find the speed of each train. Click here to see answer by ptaylor(2048)

 Question 149687: During the first part of a trip, Trudy's Honda traveled 120 mi at a certain speed. Trudy then drove another 100 mi at a speed that was 10 mph slower. If the total time of Trudy's trip was 4 hr, what was her speed on each part of the trip? R=D/T R= 120/t R=100/t-10 120/x=100/x-10 x(x-10)/1/120/x x(x-10)/1/100/x-10 Click here to see answer by ptaylor(2048)

 Question 149760: If a bowling ball is 8 inches in diameter, what is it's volume to the nearest cubic inch ? Formula : V= 4/3 (3.14)R3 ----- THAT IS "V" equals pie times r to the 3rd power I have never worked with any problems like this and just really wanted to see someone work it out ! Click here to see answer by nerdybill(6958)
 Question 149760: If a bowling ball is 8 inches in diameter, what is it's volume to the nearest cubic inch ? Formula : V= 4/3 (3.14)R3 ----- THAT IS "V" equals pie times r to the 3rd power I have never worked with any problems like this and just really wanted to see someone work it out ! Click here to see answer by Earlsdon(6287)

 Question 149759: At 10 am a gymnastics team began traveling to thheir district finals 200 miles away. The A Squad traveled on the interstate at 65 mph and had a flat tire halfway there. Squad B traveled at 55 mph . Aproximatly how many minutes did Squad A sit before Squad B showed up to help them ? I keep thinking the answer is 10 minutes but the book says it's 17...help ! Click here to see answer by scott8148(6628)

 Question 149786: A car travels from Town A to Town B in 3hrs. The same car travels 15 mph slower from Town B to Town A in 5hrs. How fast was the car going to get from Town A to Town B? I know know the Answer to the Question is 37.5 but I don't understand how you get the speed without knowing the distance. Click here to see answer by scott8148(6628)

 Question 149807: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ? (1 acre = 43,560 square feet) There is a drawing of the field and the length of each side is 350 ft The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU ! Click here to see answer by Alan3354(30993)
 Question 149807: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ? (1 acre = 43,560 square feet) There is a drawing of the field and the length of each side is 350 ft The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU ! Click here to see answer by stanbon(57307)

 Question 150128: Ernie is flying his personal plane from Houston to St. Paul, a distance of 1,150 miles, for a business meeting with his colleage Bert. Ernie plans to stop in Kansas City for an hour to eat and refuel. He figure he can average about 300 mph while in the air. If he leaves Houston at 9:30 am , what time should he tell Bert to meet his at the airport in St Paul? Ans : 2:20 pm Click here to see answer by nerdybill(6958)

 Question 150258: I wasn't sure how to solve this one: (It's not for homework, but my mind seems to be blocked for how I do the right sort of division here...) If I travel at a speed of 40 miles per hour, and I have to travel a distance of 12 miles, how long will it take me to travel (those 12 miles)? Click here to see answer by jojo14344(1512)

 Question 150358: Height difference A red ball and green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^2+p6ft. The green ball is given an initial velocity of 80 feet per second and its height t seconds after it is tossed is -16t^2 + 80 ft a. find the polynomial that represents the difference in the heights of the two balls. b. how much higher is the red ball 2 seconds after the ball is tossed? c. in reality when does the difference in the heights stop increasing? Click here to see answer by ankor@dixie-net.com(15649)

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