# 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 316607: A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway traveling 55 mph. At this rate, in how many miles will the car overtake the truck? Click here to see answer by Fombitz(13828)

 Question 316542: a motor boat maintained speed of 27 miles per hour relative to the water going 20 miles upstream and returning. The total time of the trip was 1.5 hours. What is the speed of the current? Click here to see answer by ankor@dixie-net.com(15647)

 Question 316664: Freight train A goes from point A to point B at 40 miles per hour. Freight train B takes 2 hours longer to go from point A to point B because it only goes 30 miles an hour. What is the distance from point A to point B? Click here to see answer by stanbon(57299)

 Question 316647: a/a-1 - 4/a-4 + 5(a-2) / a^s (squared) + 3a-4 Click here to see answer by JBarnum(2044)

 Question 316646: - 8a/ a-5 + 5a/ a-1 + 32a/ a^2 (suared) -6a + 5 Click here to see answer by JBarnum(2044)

 Question 316675: How can two planes be positioned at the same number pair and still not be in the same spot in the sky? Click here to see answer by stanbon(57299)

 Question 316538: A bicycle leaves town at 10 mph at 8 am. A car leaves town going the same direction at 11am going 50 mph. How many minutes after 11 am will it be when the car overtakes the bicycle? Click here to see answer by checkley77(12569)

 Question 316697: Find the slope of the line that is perpendicular to the line 14x + 98y = 9 Click here to see answer by solver91311(16877)

 Question 316695: find the slope intercept form of the equation of a line with the given slope that passes through the given point. find the x and y intercept. (-3, 0) (-3, -5) Click here to see answer by user_dude2008(1861)

 Question 316693: find the slope intercept form of the equation of a line with the given slope that passes through the given point. slope = 0 through (0,6) Click here to see answer by user_dude2008(1861)

 Question 316699: If a train leaves Chicago at 45 mph heading east and a train leaves New York at 70 mph which state will they meet at? Click here to see answer by solver91311(16877)

 Question 316692: how far will truck travel in half a second at 80 kmh Click here to see answer by mananth(12270)

 Question 316708: Mike and Jon leave their homes at the same time and meet somewhere in between their homes. Mike leaves and walks 2 meters per second. Jon walks 2.5 meters per second. If their homes are 20 meters apart, how far from jons house will they meet. How long did each walk? Click here to see answer by mananth(12270)

 Question 316745: how long will it take a car to travel 14 miles if it travels at a constant speed of 45 miles per hour? Click here to see answer by Fombitz(13828)

 Question 316793: a car travels 10km in 1 hour 12km in next 1hour and 6km in the 3rd 1 hour.calculate the average speed of the car. Click here to see answer by mananth(12270)

 Question 316815: If a man earns \$420 interest in one year at 7%, what was the amount of money invested? Click here to see answer by Fombitz(13828)

 Question 316801: Marco’s speed riding up a hill is 40% of his speed riding down the hill. It takes him two hours longer to ride up the hill than it takes him to ride down the hill. How long, in hours, does it take him to ride down the hill? Express your answer as a common fraction. Click here to see answer by ankor@dixie-net.com(15647)

 Question 316915: A train can complete a trip of 'd' miles in 'h' hours. Find the average speed in miles/hrs, if on the next day the train completes the trip 30 min faster than the previous day? Click here to see answer by Fombitz(13828)

 Question 316942: Ann runs 4 miles in 30 minutes. At the same rate, how many miles would she run in48 minutes? I tried taking 30 and dividing it by 4, which gave me 7.5. Then i took 7.5 and multiplied it by 48. But the answer doesn't seem correct. 360. Click here to see answer by Fombitz(13828)

 Question 316998: a certain aircraft can fly 1190 miles with the wind in 5 hrs and travel same distance against the wind in 7 hrs what is the speed of the wind? Click here to see answer by checkley77(12569)

 Question 316983: Two planes take off from Salt Lake City, UT. The first plane is traveling 2.5 times faster than the second plane. After traveling in the same direction for 9.5 hours, they are 1239.75 miles apart. what is the average speed of each plane? Click here to see answer by checkley77(12569)

 Question 317026: At 5pm, Jill leaves New York City and travels toward Boston at an average rate of 56 miles per hour. At 6pm, Billy leaves Boston and travels toward New York, on the same road as Jill, at an average rate of 50 miles per hour. If they were initially 215 miles apart, at what time do Billy an Jill pass each other? Remarks: I know we are trying to solve for 't' here, but I'm not sure how to setup the problem. Should Jill be setup as (t+1) or Billy should?? Thanks for your help. Click here to see answer by stanbon(57299)
 Question 317026: At 5pm, Jill leaves New York City and travels toward Boston at an average rate of 56 miles per hour. At 6pm, Billy leaves Boston and travels toward New York, on the same road as Jill, at an average rate of 50 miles per hour. If they were initially 215 miles apart, at what time do Billy an Jill pass each other? Remarks: I know we are trying to solve for 't' here, but I'm not sure how to setup the problem. Should Jill be setup as (t+1) or Billy should?? Thanks for your help. Click here to see answer by mananth(12270)

 Question 316841: Olivia lives thirty-two miles from work. This morning, she left for work at 8:43 a.m. There was construction for the first twenty miles, so Olivia only drove at an average speed of seventeen mph around the construction area. If Olivia needs to be at work by 10:11 a.m., what should be her average speed for the rest of the way to work? Click here to see answer by ankor@dixie-net.com(15647)

 Question 317043: A motorboat can travel 28 miles downstream in the same amount of time as it can travel 18 miles upstream. Find the speed of the current if the boat can travel 23 mph in still water. I thought the problem should be something like 28/23+x=18/23-x but this is not giving me the correct answer...not sure what else I can do Click here to see answer by Alan3354(30993)

 Question 317087: A current is going 3 mp, boat goes 6 miles upstream in the same amount of time it takes a boat to go 10 miles downstream. Find the speed of the boat in still water. I dont know of which (if any) formula to use. Distance formula? i know that the first boat only travels 6 miles in the same time because it is going against the current i dont know if i should put the boat having a motor into concideration because if no then it took the boat 2 hours going 3 mph to go 6 miles? <-- i dont think that parts right...but..and 3.3hr to go 10 miles down stream. Click here to see answer by texttutoring(324)

 Question 317067: A car traveling 60mph overtakes a motorcycle traveling 40mph. The motorcycle had a two hour head start. How far from the starting point are the car and motorcycle? I am having a hard time solving this equation. I know the formula D=R X T, but I'm not sure where to start. Click here to see answer by Fombitz(13828)

 Question 317230: A ball is thrown across a playing field. Its path is given by the equation y=-0.005x^2+x+5. Where x is the distance the ball has traveled horizontally and y is its height above ground level, both measured in feet. a. What is the maximum height attained by the ball? b. How far has it traveled horizontally when it hits the ground? Click here to see answer by nerdybill(6958)

 Question 317150: When a car traveling on wet pavement at a speed V in miles per hour stops suddenly, it will produce skid marks of length S feet according to the formula V=2(!3S) If the length of the skid mark S (for a car that was in an accident)was 243 feet, A) to find the speed V of a car. B) If the speed limit on that road was 40 miles, by how many miles did the driver exceed the speed limit? Click here to see answer by Fombitz(13828)

 Question 317234: A new computer can process a company's monthly payroll in 1 hour less time than the old computer. To really save time, the managert user both computers finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself? Click here to see answer by checkley77(12569)

 Question 317219: 2 runners are running a track one runner runs it in 24 min, the other runner in 36 minutes when will they both be at the same spot? Click here to see answer by ankor@dixie-net.com(15647)
 Question 317219: 2 runners are running a track one runner runs it in 24 min, the other runner in 36 minutes when will they both be at the same spot? Click here to see answer by checkley77(12569)

 Question 317173: The river is flowing from point A to B at a rate of 15 miles per hour. A boat moves on still water at 45 miles per hour. If it takes David 1 hour and 15 minutes to ride the boat on the river from A to B, how long does it take him to make the return trip from B to A? Click here to see answer by ankor@dixie-net.com(15647)

 Question 317397: Two buses leave towns 594 km apart at the same time and travel toward each other. One bus travels 12 km/h slower than the other. If they meet in 3 hours, what is the rate of each bus? Click here to see answer by mananth(12270)

 Question 317265: An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The plane passes directly above a radoar station at time t=0 a. Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown. b. Express d as a function of the t (in hours) that the plane has flown. c. Use composition to express s as a function of t. Click here to see answer by Fombitz(13828)

 Question 317526: Car A is currently 80 km south of a perpendicular intersection with an east-west road. Car B is on the east-west road, 260 km west of the same intersection. Car A is travelling north at 80 km/h; Car B is travelling east at 100 km/h. Assuming that the cars will continue in a straight line with constant velocities, after 2 hours how fast is the distance between the two cars changing? Click here to see answer by Fombitz(13828)

 Question 317591: A motorboat travels 360km in 5 hours going upstream and 648km in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Click here to see answer by mananth(12270)

 Question 317590: In a family there are two cars. In a given week, the first car gets an average of 15 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 1575 miles in that week, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? Click here to see answer by mananth(12270)

 Question 317588: The sum of two numbers is 60 . One number is 4 times as large as the other. What are the numbers? Click here to see answer by rfer(12657)

 Question 317582: If a car travels 60 miles in 45 minutes, how many miles per hour was it going? Click here to see answer by rfer(12657)

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