# 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 262865: if a train travels 300 feet every 1/2 second. how many feet wil it travel at 10 seconds? Click here to see answer by palanisamy(496)
 Question 262865: if a train travels 300 feet every 1/2 second. how many feet wil it travel at 10 seconds? Click here to see answer by pinklipgloss2007(6)
 Question 262865: if a train travels 300 feet every 1/2 second. how many feet wil it travel at 10 seconds? Click here to see answer by drk(1908)

 Question 262863: A subway train starts from rest at a station and accelerates at a rate of 1.66m/s^2 for 14.0s. It runs at constant speed for 70.9s and slows down at a rate of 3.50m/s^2 until it stops at the next station. Find the total distance covered. I know that there are 3 parts to this problem and to do them separatly and add up the distance at the end. I figured out the first part of the journey, being from rest through acceleration, (if I'm correct) using the formula , where v=initial velocity (o), a= acceleration (1.66m/s^2), and t= time (14.0s). Click here to see answer by Alan3354(30993)
 Question 262863: A subway train starts from rest at a station and accelerates at a rate of 1.66m/s^2 for 14.0s. It runs at constant speed for 70.9s and slows down at a rate of 3.50m/s^2 until it stops at the next station. Find the total distance covered. I know that there are 3 parts to this problem and to do them separatly and add up the distance at the end. I figured out the first part of the journey, being from rest through acceleration, (if I'm correct) using the formula , where v=initial velocity (o), a= acceleration (1.66m/s^2), and t= time (14.0s). Click here to see answer by palanisamy(496)

 Question 262869: Two truck drivers leave a warehouse traveling in opposite directions, one driving at 50 mph and one driving at 56 mph. If the slower driver has a 2-hour head start, how long has she been on the road when two drivers are 683 miles apart? Click here to see answer by checkley77(12569)

 Question 262893: In a walk-a-thon to raise money for charity, Elisa walked a certain distance at 5 mph and then jogged twice that distance at 8 mph. Her total time walking and jogging was 2 hours and 15 minutes. How far did Elisa get? Click here to see answer by ankor@dixie-net.com(15647)

 Question 262864: The stoplights ona street are designed to keep traffic moving at 26mi/h. The aerage length of a street block between traffic lights is about 80m. What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? answer in units of seconds. Click here to see answer by richwmiller(9135)
 Question 262864: The stoplights ona street are designed to keep traffic moving at 26mi/h. The aerage length of a street block between traffic lights is about 80m. What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? answer in units of seconds. Click here to see answer by ankor@dixie-net.com(15647)

 Question 262697: If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream ? (a) 13 km/hr (b) 26 km/hr (c) 34 km/hr (d) none of these Click here to see answer by dabanfield(803)

 Question 262956: John and Sue both leave the same city at the same time going in the same direction, both traveling north. John travels at 64 miles per hour and Sue travels 56 miles per hour. How long will it take for them to be 25 miles apart? Click here to see answer by rfer(12657)

 Question 262982: Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet? Click here to see answer by mananth(12270)
 Question 262982: Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet? Click here to see answer by richwmiller(9135)

 Question 262995: A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs. What is the distance travelled (a) 210 kms (b) 30 kms (c) 20 kms (d) none of these Click here to see answer by palanisamy(496)

 Question 263009: 1.two cars are 500 miles apart and moving directly towards each other.One car is moving at a speed of 100 mph and the other is moving at 70 mph.Assuming that the cars start moving at the same time,how long does it take for the two cars to meet? Repeat the previous example except this time assume that the faster car will start 1 hour after slower car starts? 2.two boats start out 100 miles apart and start moving to the right at the same time.the boat on the left is moving at twice the speed as the boat on the righ.Five hours after starting,the boat on the left catches up with the boat on the right.How fast was each boat? Click here to see answer by stanbon(57290)

 Question 262968: If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey? Click here to see answer by richwmiller(9135)

 Question 263099: Three bike riders ride around a circular path. the first rider circles the path in 12 minutes, the second in 18, and the third in 24 minutes. if they all start at the same place at the same time, when will they all meet again at the starting point? Click here to see answer by drk(1908)
 Question 263099: Three bike riders ride around a circular path. the first rider circles the path in 12 minutes, the second in 18, and the third in 24 minutes. if they all start at the same place at the same time, when will they all meet again at the starting point? Click here to see answer by richwmiller(9135)

 Question 263087: If a baseball is traveling at a rate of 100 mph, what is the speed in m/s? Click here to see answer by drk(1908)

 Question 263100: Starting from rest, a boulder rolls down a hill with constant acceleration and travels 2.00m during the first second. How far does it travel during the second second? How fast is it moving at the end of the first second? How fast is it moving at the end of the second second? Click here to see answer by drk(1908)

 Question 263113: Kala runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes? Click here to see answer by Alan3354(30993)

 Question 263111: Brent takes a trip in his car. He covers the first 30 miles in one half hour and the last 50 miles in one hour. Find his average speed in mi/h Click here to see answer by josmiceli(9668)

 Question 263115: avg speed= .250 How far in meters would the feather fall in 4 seconds if it were dropped in a vacuum at the Earth's surface? a. 1.00 b.9.80 c. 19.6 d. 39.2 e. 78.4 Click here to see answer by Alan3354(30993)

 Question 263122: Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take? Click here to see answer by drk(1908)
 Question 263122: Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take? Click here to see answer by stanbon(57290)
 Question 263122: Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take? Click here to see answer by dabanfield(803)

 Question 263127: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water? Click here to see answer by drk(1908)
 Question 263127: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water? Click here to see answer by stanbon(57290)
 Question 263127: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water? Click here to see answer by checkley77(12569)

 Question 263065: Find the x- and y-intercepts (if any) for each line. Show your work. Plot those intercepts, and graph the two lines on the same chart. Submit your graph through the Dropbox. Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work. The 2 equations are: x + 5y = 29 -7x + 4y = 70 Below is what I came up with but I just want to know if I did this correctly. x + 5y = 29 y = 0 x + 5(0) = 29 x = 29 x = 0 0 + 5y = 29 5y = 29 y = 29/5 -7x + 4y = 70 y = 0 -7x + 4(0)= 70 -7x = 70 x = -10 x = 0 -7(0) + 4y = 70 4y = 70 y = 70/4 = 35/2 I will use the substitution system to point of intersection. x = 29 - 5y -7(29 - 5y) + 4y = 70 -203 + 35y + 4y = 70 39y = 273 y = 7 x + 5(7) = 29 x + 35 = 29 x = 29/35 Click here to see answer by dabanfield(803)
 Question 263065: Find the x- and y-intercepts (if any) for each line. Show your work. Plot those intercepts, and graph the two lines on the same chart. Submit your graph through the Dropbox. Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work. The 2 equations are: x + 5y = 29 -7x + 4y = 70 Below is what I came up with but I just want to know if I did this correctly. x + 5y = 29 y = 0 x + 5(0) = 29 x = 29 x = 0 0 + 5y = 29 5y = 29 y = 29/5 -7x + 4y = 70 y = 0 -7x + 4(0)= 70 -7x = 70 x = -10 x = 0 -7(0) + 4y = 70 4y = 70 y = 70/4 = 35/2 I will use the substitution system to point of intersection. x = 29 - 5y -7(29 - 5y) + 4y = 70 -203 + 35y + 4y = 70 39y = 273 y = 7 x + 5(7) = 29 x + 35 = 29 x = 29/35 Click here to see answer by oberobic(2304)
 Question 263065: Find the x- and y-intercepts (if any) for each line. Show your work. Plot those intercepts, and graph the two lines on the same chart. Submit your graph through the Dropbox. Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this). Show your work. The 2 equations are: x + 5y = 29 -7x + 4y = 70 Below is what I came up with but I just want to know if I did this correctly. x + 5y = 29 y = 0 x + 5(0) = 29 x = 29 x = 0 0 + 5y = 29 5y = 29 y = 29/5 -7x + 4y = 70 y = 0 -7x + 4(0)= 70 -7x = 70 x = -10 x = 0 -7(0) + 4y = 70 4y = 70 y = 70/4 = 35/2 I will use the substitution system to point of intersection. x = 29 - 5y -7(29 - 5y) + 4y = 70 -203 + 35y + 4y = 70 39y = 273 y = 7 x + 5(7) = 29 x + 35 = 29 x = 29/35 Click here to see answer by checkley77(12569)

 Question 263150: If one walks 500 feet at 4 miles per hour walking to his/her destination and walks back 500 feet at 3 miles per hour... What is the average speed for the entire trip? How do you calculate it? Click here to see answer by drk(1908)
 Question 263150: If one walks 500 feet at 4 miles per hour walking to his/her destination and walks back 500 feet at 3 miles per hour... What is the average speed for the entire trip? How do you calculate it? Click here to see answer by oberobic(2304)

 Question 263192: How many miles can the car travel on 73.0 liters of gasoline? Click here to see answer by Alan3354(30993)

 Question 263249: i cant figure out how to correctly form an equation for this: a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist? thanks for your help Click here to see answer by nerdybill(6958)
 Question 263249: i cant figure out how to correctly form an equation for this: a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist? thanks for your help Click here to see answer by stanbon(57290)

 Question 263256: If Mike drove a speed of 64mph for 38 minutes, how many miles did he drive? I am using the formula r*t=d..Cant seem to get the correct answer.. Click here to see answer by mananth(12270)

 Question 263338: A runner is training by sprinting up a long hill then slowly jogging down. He runs uphill at 240 meters per minute and comes back down at 160 meters per minute. If one circuit up and back takes 30 minutes, how long is the hill? Click here to see answer by richwmiller(9135)

 Question 263216: Bronwyn walks one lap of an oval at 2.5km/h and then jogs another 8 laps of the oval at 5km/h. If it takes her 30 minutes in total, how long in metres is each lap? I am guessing that to work the answer out, simultaneous equations will need to be found. In which case, I have figured that one of the simultaneous equations might be something like 5(8x) + 2.5(y) = 30 or something similiar, in which x stands for the distance covered when jogging, then multiplied by 8, the number of laps jogged, and then by 5, the speed at which it was jogged. And likewise for 2.5 and y. Click here to see answer by ankor@dixie-net.com(15647)

 Question 263345: On the first part of a trip Bob averaged 60mph but on the second part of the trip, which was 50 miles more than the first part, he averaged 40mph. What was the total distance for the trip if the entire trip took 8 hours? Click here to see answer by richwmiller(9135)

 Question 263366: two boats leave a port at the same time,one traveling north and the other traveling south.the northbound boat travels at 12 miles per hour faster then the southbound boat.if the southbound boat is traveling at 25 mph,how long before they are 155 miles apart? Click here to see answer by richwmiller(9135)

 Question 263398: A cylindrical drum has a diameter of 3 yards and a volume of 65 cubic yards. What is the height of the drum? (Hint: Use V = пr2h) Click here to see answer by drk(1908)

 Question 263413: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to make a speech to his troups, he must ride 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield? Click here to see answer by drk(1908)

 Question 263415: Show how to solve questions like this: A rock is dropped off a cliff. Rock's height=h (in feet above water), after t seconds is h= -16^2 +541. What is height of rock after 2 seconds? Click here to see answer by richwmiller(9135)

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