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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 41153: You and a friend decided to make a 220 mile trip, traveling at 70 mph. You make the return trip at a rate of 58 mph. What was your average speed for the entire trip?
Click here to see answer by josmiceli(9697)

Question 41161: Each person must finish a 110-item test in 90 minutes. How much time(in seconds) should be spent in each test item to be able to complete the test in the time allotted?
Click here to see answer by PaulAllen65270(19)

Question 41407: At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 55 mi/hr. When will the second truck catch up to the first?

Thank you!!!
Click here to see answer by rajagopalan(158)

Question 41372: This is a problem from a quiz of mine and I have the answer but I don't know how to get it. Jimmy can only haverage 40 mph when he fights Friday afternoon traffic to drive the 120 miles to his vacation home. Coming home on Sunday morning, however, he is able to average 60 mph. What is his average speed for the round trip? Thanks!
Click here to see answer by venugopalramana(3286)

Question 41520: I hope you can answer my problem. The -6 is actually under the complete top portion of the problem not just under the (18).
Perform the operations and simplify.

Click here to see answer by Nate(3500)

Question 41737: A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plane in still air?
Click here to see answer by Paul(988)

Question 41836: The height of the Eiffel Tower is 68 feet more than three times a side of its square base. If the sum of these two dimensions is 1380 feet, find the height of the Eiffel Tower.
Click here to see answer by psbhowmick(529)

Question 41833: The Jones family drove to Disneyland at 50 mph and returned on the same route at 40 mph. find the distance to Disneyland if the total driving time was 7.2 hours.
Click here to see answer by psbhowmick(529)

Question 41848: A boat goes 200 miles downstream in the same time it can go 150 miles up stream. The speed of the current is 7 miles per hour. Find the speed of the boat in still water.
Click here to see answer by Paul(988)

Question 41822: With the current, a motorboat travels 60 mi in 3 h. Against the current, it takes 2 h longer to travel 60 mi. Find the rate of the current.
Click here to see answer by Paul(988)

Question 41942: AN airline passenger fell asleep halfway to her destination. When she awoke, the distance remaining was half the distance traveled while she slept. How much of the entire trip did she sleep?
I don't even know how to set this one up.
Click here to see answer by fractalier(2101)

Question 41971: I need to see the steps. Thanks
1. This intersection is four miles away from the locl firehouse. Due to rush hour traffic, the fire truck is only able to travel an average of 12mph. What is the minimum amount of time it will take the fire truck to reach the car fire?
2. The fire engine travels an average of 38mph. It takes the engine 15 minutes to get to the chemical plant. How far is the chemical plant?
Click here to see answer by psbhowmick(529)

Question 41999: A train travels 150 kilometers in the same time it takes a plane to travel 400 Kilometers. If the speed of the plane is 20 kilometers per hour less than 3 times the speed of the train , find both speeds?
Click here to see answer by checkley71(8403)

Question 42056: A tourist bus leaves Townsville and heads North. It travels at an average speed of 50 km/h. It does not stop until it reaches the small little known settlement of Goanna Creek. A second tourist bus leaves Townsville 2 hours later than the first and travels at an average speed of 70 km/h. The second bus arrives at Goanna Creek at the same time as the first bus. How far is Goanna Creek from Townsville?
Click here to see answer by psbhowmick(529)

Question 42109: Driving down a mountain, Tom finds that he has descended 1800 feet in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by psbhowmick(529)

Question 42105: Technology. Driving down a mountain, Tom finds that he has descended 1800 feet in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by psbhowmick(529)

Question 42301: A plane flies 720 miles against a steady 30 mile per hour headwind and then returns to the same point with the wind. If the entire trip takes 10 hours, what is the plane's speed in still air?
I worked on this for two hours last night and I couldn't figure out how to get the time for each trip, because they're not constant numbers, they're t and 10-t, and the rate is r-30 and r+30, but how do I solve if I have two unknown values? I tried adding the equations to eliminate a variable, but I couldn't seem to do that either. Help!!
Click here to see answer by fractalier(2101)

Question 42340: A car is driven 850 miles. If it had gone 5.0 miles per hour faster it would have made the trip in 2.0 hour less time. What was the speed?
Click here to see answer by josmiceli(9697)

Question 42427: The Randolphs used 12 more gal of fuel oil in October
than in September and twice as much oil in November as in September. If they
used 132 gal for the 3 months, how much was used during each month?
Click here to see answer by Socom491(19)

Question 42533: The five fastest roller coasters in the world are Fujiyama (Japan), Goliath (CA),Millenium Force (OH), Steel Dragon 2000 (Japan), and Superman the Escape (CA). The speeds , in miles per hour, of the first four coasters are 83, 85, 92, and 95 respectively. How fast can Superman the Escape travel if the average speed of all five coasters in no more that 91 miles per hour?
Click here to see answer by checkley71(8403)

Question 42693: another yuck word problem
It takes moe 2 hours to clean his house and joe can clean by helself in 3 hours
How long would it take if they worked together?
Click here to see answer by Nate(3500)

Question 42692: Could you help and show steps to this problem
Jennifer drove from lee city to bird beach a distance of 50 miles in 47 minutes
If she maintained the same speed for the entire trip how fast was she driving in miles per hour
Click here to see answer by Nate(3500)

Question 42758: A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
Click here to see answer by Nate(3500)

Question 42785: The speed of a stream is 6 mph. If a boat travels 72 miles downstream in the same time that it takes to travel 36 miles upstream, what is the speed of the boat in still water?
Click here to see answer by aaaaaaaa(138)

Question 42823: A car leaves a city and travels east at 50mph. an hour later another car traveling at 70 mph, leaves the same city in pursuit of the first car. FIND
(a) how many hours will it take the second car to overtake the first car.
I got 2.5 hours
(b) how many miles will the cars be from the city when they meet?
Click here to see answer by aaaaaaaa(138)

Question 42848: The time required to drive a fixed distance varies inversely as the speed r. It takes 5 hr at a speed of 80km/h to drive a fixed distance. How long will it take to drive the same distance ata speed of 70km/h?
Click here to see answer by fractalier(2101)

Question 42852: This is from an on-line quiz, so unfortunately I do not have an ISBN number for you.
Scott runs 3 miles in 26 minutes. At the same rate, how many miles can he run in 39 minutes?
I divided 3 into 26 to get 8.66, but then I don't know???? I would appreciate your help!
Click here to see answer by fractalier(2101)

Question 42850: Wind resistance, or atmospheric drag, tends to slow down moving objects. Atmospheric drag varies jointly as an objects surface area A and velocity v. If a car traveling at a speed of 40mph with a a surface area of 37.8 ft^2 experiences a drag of 222 N (newtons), how fast must a car with 51ft^2of surface area travel in order to experience a drag force of 430 N?
Click here to see answer by fractalier(2101)

Question 42983: A bus leaves a station at 1 P.M., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by Nate(3500)

Question 43007: A bus leaves a station at 1P.M., traveling west at an average rate of 44 mi/h. At 2P.M. on the same day a second bus leaves the same station, traveling east at a rate of 48 mi/h. Approximately at what time will the two buses be 274 miles apart?
Click here to see answer by Paul(988)

Question 43072: I'm trying to check my math here. I usually get the answers right but in the wrong order. Here is the problem:
Flying against the jetstream, a jet travels 3450km in 5 hours. Flying with the jetstream, the same jet travels 8400km in 8 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Jetspeed ___ kmh
Jetstream ___ kmh
Click here to see answer by josmiceli(9697)

Question 43188: I am having a hard time with this word problem, can you please help?
A car travels 60 miles in the same time that a car traveling 10 miles per hour faster travels 90 miles. What is the rate of each car?
Thanks a bunch!
Click here to see answer by Nate(3500)

Question 43191: A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses by 274 mi apart?
Click here to see answer by checkley71(8403)

Question 43211: Martina Leaves home at 9 A.M., bicycling at at rate of 24/mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h at what time will John Catch up with Martina?

Click here to see answer by Nate(3500)

Question 43354: Julie's whaler cruised 45 miles upstream and 45 miles back in a total of 8 hr. the speed of the river is 3mph. Find the speed of the boat in still water.
having problems setting this up
Click here to see answer by stanbon(57387)

Question 43353: Laverne's Mercruiser travels 2 km/h in still water. she motors 140km downstream in the same time it takes to go 1km upstream. What is the speed of the river?
having trouble setting it up
Click here to see answer by Paul(988)

Question 43449: Please help with this distance problem.
Two cars start at an interstate interchange and travel in the same direction at average speeds of 40 mph and 55 mph. how much time must elapse before the two cars are 5 miles apart?
i know the distance formula d=r*t, but i dont know how to put the numbers in the correct order.
thank you in advance for the help
Click here to see answer by psbhowmick(529)

Question 43553: 4) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.
Answer:
Show work in this space.

Click here to see answer by stanbon(57387)

Question 43552: 3)Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t² + v0t + s0
• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a)What is the function that describes this problem?
Answer:

b)The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c)How long will it take to hit the ground?
Answer:
Show work in this space.

d)What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

Click here to see answer by Nate(3500)

Question 43622: An object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s=-16t^2+240t. For what values of t will the object be at least 416 feet above the ground? Any help would be appreciated, thanks!

Click here to see answer by Nate(3500)

Question 43881: I would greatly appreciate any help on the following problem: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level?
Click here to see answer by aaaaaaaa(138)

Question 43852: a vehicle traveling at 45 mph covers many feet per second?
Click here to see answer by fractalier(2101)

Question 43929: please help with this problem:
On a bicycle trip,Maria averaged 5 miles per hour faster for the first 60 miles than she did for the last 75 miles. The entire trip took 8 hours. Find her rate for the first 60 miles.
Click here to see answer by adamchapman(301)

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