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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 106252: Carl Lewis, one of the great Olympian sprinters of this century can run 100 meters in 10 seconds. How fast is this in kilometers per hour?
Click here to see answer by ankor@dixie-net.com(15660)

Question 106503: A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on the level road if the entire trip was 305 miles.
Thank you!!!
Click here to see answer by scott8148(6628)

Question 106613: Can you help with this please.

The volume of a cube is given by V = s^3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places.
I got this 800*800*800=s*s*s so 5.120=s
Thank You
Click here to see answer by jim_thompson5910(28598)

Question 106666: a messenger left a construction site and traveled by jeep at 51 km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messenger travel to overtake her in one hour
Click here to see answer by stanbon(57387)

Question 106772: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 3 miles per hour faster. What was the consultant's speed each way?
Click here to see answer by scott8148(6628)

Question 106815: three times the square of a certain positive number exceeds the number six times by nine
Click here to see answer by Fombitz(13828)

Question 107004: solve the problem
two cars leave an intersection. one car travels north; the other east. When the car traveling north has gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east. how far had the eastbound car traveled?
Click here to see answer by checkley75(3666)

Question 106884: Plane A can travel 1500 miles in 1 hour less time than it takes plane B to travel 2500 miles. If the rate of plane B is 50 miles per hour greater than the rate of plane A. Find the times and rates of both planes.
Click here to see answer by ptaylor(2048)

Question 107013: luoise walked for 2 hours then ran for 1.5 hours if she ran twice as long as she walks and the total trip was 20 miles the how fast did she run?
I am working on trying to set this up i have x to equal walking spd and 2x for running speed I know the rate is 3.5 hours together woulit be 3.5 = (x + 2x) / 20 ???
Click here to see answer by ptaylor(2048)

Question 107193: Two airplanes leave Dallas at the same time and fly in opposite directions. One airplane travels 80 miles per hour faster then the other. After 3 hours they are 2940 miles apart. What is rhe rate of each airplane?
Click here to see answer by checkley75(3666)

Question 107322: Can someone please check my answer. I think I have it correct.
x=2x+3
x-2x-3=0
(1-2)x-3=0
-3=x
Thank You
Click here to see answer by Fombitz(13828)

Question 107494: The speed of a boat in still water is 24 mph. If the boat travels 54 miles upstream in the same time it takes to travel 90 miles downstream, find the speed of the current.
Click here to see answer by solver91311(16897)

Question 107483: If a river flows at a rate of 3mph and a boat travels 60 miles upstream and returns in a total time of 9 hours. How fast would the boat travel be traveling in still water?
Click here to see answer by scott8148(6628)

Question 107489: Suzi drove home at 60 mph, but her brother Jim, who left at the same time, could drive at only 48 mph. When Suzi arrived, Jim still had 60 miles to go. How far did Suzi drive?
Click here to see answer by scott8148(6628)

Question 107538: Chris has riden her bike 10 miles. She averages 12 mi/hr. How many more minutes must she ride before she has traveled 60 miles?
Click here to see answer by mathnoob(8)

Question 107682: Ricky drove from Town A to Town B in 3 hours. His return trip from Town B to Town A took 5 hours because he drove 15 miles per hour slower on the return trip.
How fast did Ricky drive on the trip from Town A to Town B?
Click here to see answer by solver91311(16897)

Question 107752: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by stanbon(57387)

Question 107834: What is the number of hours it will take an automobile going forty-five miles per hour to catch up with an automobile moving at thirty miles per hour if the slower automobile starts one hour before the faster automobile?
Click here to see answer by scott8148(6628)

Question 107862: I have no idea here. There are to many varibles. Can you please explaine
Find a linear equation in the form P = mt + b (y = mx + b), which gives the population, P, t years from 2010. 4000 starting poulation increases by 200 a year. in 30 years what would the population be.
This is all I can think of 200(30)+b(y=200+b)
Thank you for your time

Click here to see answer by stanbon(57387)

Question 108043:
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 MILES APART?

a
Click here to see answer by checkley71(8403)

Question 107934: A person traveling 4 hr by plane and 25 hr by ship covers 1580 miles. If the speed of the plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship.
Click here to see answer by ankor@dixie-net.com(15660)

Question 108101: A BICYCLIST RODE INTO THE COUNTRY FOR 5 HRS. IN RETURNING, HER SPEED WAS 5 M/H FASTER AND THE TRIP TOOK 4 HOURS.
WHAT WAS HER SPEED EACH WAY?
Thanks
JMS
Click here to see answer by checkley71(8403)

Question 108109: Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mi/h faster than Charlene. They meet in 5 hours. Find Charlene's speed.
Click here to see answer by bucky(2189)

Question 107933: One plane flew 390 km with the help of a tailwind in twice the time that another plane flew 180 km against the headwind. If each plane can fly 500 km/h in still air, find the rate of the tailwind.
Click here to see answer by ankor@dixie-net.com(15660)

Question 108128: MARTINA LEAVES HOME AT 9 A.M. BICYCLING AT A 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?
THANKS
JMS
Click here to see answer by checkley71(8403)

Question 108163: Can you please help me to solve problems like these:
1. A long-distance runner started on a course running at an average speed of 6moh. One half-hour later, a second runner began the same course at an average speed of 7mph. How long after the second runner started will the first runner overtake the first runner?
2. On a 130 mi trip, a car traveled at an average speed of 18mph to an island. The average speed on the way to the airport was 100mph, and the average speed returning was 150mph. Find the distance between the two airports if the total flying time was 5 h.
Click here to see answer by solver91311(16897)

Question 108158: Two cars leave an intersection at the same time. One travels north, and the other heads west traveling 10 mph faster. after 1 hour, they are 50 miles apart. What are their speeds?
Click here to see answer by Fombitz(13828)

Question 108260: Please solve:
Two front-end loaders can remove 3/4 of the dirt from an excavation in 1 4/5 days. Working alone, loader A would take 2 days longer than loader B working alone to remove all the dirt. How long for A to do the job completely by itself?
Thanks.
Click here to see answer by checkley71(8403)

Question 108154: the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.
Click here to see answer by ankor@dixie-net.com(15660)

Question 108212: ella and jim are jogging.ella runs from point A to point B in one hour and 2 miles per hour faster than jim does. if jim takes 1/2 hour more than ella to go the same distance,find the distance between points A and B.
Click here to see answer by ankor@dixie-net.com(15660)

Question 108213: ron and doug leave the same point at the same time traveling in cars going in oppisite directions. ron travels at 40 miles per hour and doug travels at 60 miles per hour. in how many hours will the be 450 miles apart?
Click here to see answer by checkley71(8403)

Question 108549: Check you please check my answer.
5)Suppose that the function P=13+45lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a)Use this model to approximate the percentage of spam in the year 2003.
P=13+ln((2003) ), P=13+in(3.76394022+148), P=13(342.11), P=447.43
Thank You

Click here to see answer by stanbon(57387)

Question 108584: Suppose that the function P=13+45x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change.
I have tried this 2000(.95)=13+45ln(2000) This did not work out
Then I tried 2000(.95)=1345ln(2000)(.95)This did not work either.
Thank you

Click here to see answer by ankor@dixie-net.com(15660)

Question 108707: At 9:30 a.m. Andrew left Exeter for Portsmouth, cycling at 12 mi/hr. At 10:00 a.m. Stacy left Portsmouth for Exeter, cycling at 16 mi/hr. The distance from Exeter to Portsmouth is 20 mi. Find the time when they met.
Click here to see answer by solver91311(16897)

Question 108695: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s.
When will the ball reach a height of 80m?
I would appreciate help with this one. Thank you!
Click here to see answer by Edwin McCravy(8909)

Question 108716: This equation has 2 parts to it.
Two friends are 60 miles apart. They ride their bicycles to meet each other. Sally starts from the college and heads east riding at a rate of 21 miles per hour. At the same time, Teresa starts from the river and heads west, riding at a rate of 15 miles per hour.
a: How far does each cyclist ride in t hours?
b: When the two cyclists meet, what must be true about the distances they have ridden? Write and solve an equation to find when they meet
Click here to see answer by stanbon(57387)

Question 108719: A rabbit is 30 feet from its burrow. It can run 25 feet per second. A coyote that can run 50 feet per second spots the rabbit and starts running towards it. How can i write an expression and an equation to solve for the time it will take the rabbit to reach its burrow and the time for the coyote to get to the burrow?
Click here to see answer by stanbon(57387)

Question 108722: Gina traveled 450 miles to her grandmother's house in two days. She traveled 50 more miles on Saturday than on Sunday. How many miles did she travel on Saturday? on Sunday?
Click here to see answer by stanbon(57387)

Question 108830: A passenger train can travel 325 mi in the same time a freight train can take to travel 200 miles. If the speed of the passenger train is 25 mi/h faster then the speed of the freight train, find the speed of each.
Click here to see answer by stanbon(57387)

Question 108864: AT 9:00 A.M. A TRUCK LEAVES THE TRUCK YARD AND
TRAVELS WEST AT A RATE OF 35 MI/HR.
TWO HOURS LATER, A SECOND TRUCK LEAVES ALONG THE SAME ROUTE
TRAVELING AT 70 MI/HR.
WHEN WILL THE SECOND TRUCK CATCH UP TO THE FIRST TRUCK?
THANKS
JMS
Click here to see answer by checkley71(8403)

Question 108862: THE LENGTH OF A RECTANGULAR GARDEN IS 6 FT LESS THAN 5 TIMES ITS WIDTH. IF THE
PERIMETER OF THE GARDEN IS 48 FT, FIND THE DEMINSIONS OF THE GARDEN.
THANKS
JMS
Click here to see answer by checkley71(8403)

Question 108888: Ariana took 2 hour longer to drive 360 miles on the first day of her trip then she took to drive 250 miles on the second day. If her speed was the same on both days, what was the driving time each day?
360-250/2=110/2=55
is that right?
Click here to see answer by edjones(7569)

Question 108903: WORD PROBLEM BUSINESS
A ELECTRONICS STORE WANTS TO ORDER AT LEAST 3 TIMES AS MANY DVD PLAYERS AS VHS PLAYERS. WRITE AN INEQUALITY EXPRESSING THIS RELATIONSHIP.
THANKS
JMS
Click here to see answer by stanbon(57387)

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