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

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 Question 261503: Members of the Handlebar Club went on a 25-mile bicycle ride. They rode 3/10 of the distance before stopping for lunch. How far had they ridden? Click here to see answer by richwmiller(10276)

 Question 261375: a soldier is firing a mortar which has a muzzle velocity of 600ft/sec at a hilltop target. If the acceleration of the mortar shell is 32.2 ft/sec^2, downward, and the horizontal and vertical distances to the target are .5 miles and .25 miles respectively, determine the angle Theta at which the mortar should be fired. What i have figured out: I know the .5 miles=2640 ft. and the .25 mile= 1320 ft. and also maybe something like {velocity= something Cos(theta)i+ something sin(theta)j} After that im not real sure where the acceleration fits into the problem. Click here to see answer by Alan3354(34677)

 Question 261719: When sarah rowed down black river with the current , she took one hour to go four miles. When she rowed back the same distance, at the same rowing speed, but against the current ,her trip required two hours . what is the speed, in miles per hour, of the current in black river ? Click here to see answer by checkley77(12569)

 Question 261664: Currently, the two fastest trains are the Japanese Maglev and the French TGV. The sum of their fastest speeds is 718.2 mph. IF the speed of the Maglev is 3.8mph faster thean the speed of TGV, find the speeds of each. Click here to see answer by checkley77(12569)

 Question 261770: if a car travells 30 miles in a hour and a half what is the cars speed Click here to see answer by solver91311(18785)
 Question 261770: if a car travells 30 miles in a hour and a half what is the cars speed Click here to see answer by Stitch(415)

 Question 261782: "Ben leaves his house and walks to meet Anna. Anna leaves her house 30 minutes later and walks to meet Ben. Anna's average walking speed is 3mph and Ben's is 4 mph. When they meet, Ben has walked twice as far as Anna. Find the total distance they walked." I know the distance is 9 miles -- I need an explanation on how they got this answer. Thank you. Click here to see answer by CharlesG2(828)

 Question 261809: If you travel 70 mph, how long does it take you to travel 118 miles? (In decimal form) Click here to see answer by Alan3354(34677)

 Question 261858: Please help solve: A helicopter used in fighting a forest fire travels at 105 mi/h from a fire to a pond and 70 mi/h with water from the pond to the fire. If a round trip takes 30 min.,how long does it take from the pond to the fire? Click here to see answer by Alan3354(34677)

 Question 261859: Bert is 16.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 2.5 kilometers per hour. They meet in 3 hours. How fast is Brenda walking? Click here to see answer by ankor@dixie-net.com(16523)

 Question 261807: If you travel one mile in 56 seconds, how fast(to the nearest mph)were you traveling? Click here to see answer by Stitch(415)

 Question 261887: Two cars pass Exit 20 on the turnpike at 8:00am. One car is traveling north at a speed that is 4km/h faster than the northbound car. At 8:45am, the cars are 117km apart. Find the speed of the southbound car. Use two variables. Click here to see answer by Alan3354(34677)

 Question 261795: a cyclist went 1km up a hill at 15km per hour then she went down the hill at 30km per hour show that her average speed for the 2km was 20km per hour Click here to see answer by checkley77(12569)

 Question 262104: Bus A is 150 miles due east of Bus B. Both busses start driving due west at constant speeds at the same time. It takes Bus A 10 hours to overtake Bus B. If they had started out at the same time, had driven at the same constant speeds, but had driven toward one another, they would have met in 2 hours. What is the speed, in miles per hour, of Bus A? Click here to see answer by palanisamy(496)

 Question 262109: an athlete swam 100 yards in 52 seconds. to the nearest 10th, what was the average number of feet per second traveled? Click here to see answer by mananth(13127)

 Question 262141: in 3 hours, a train travels a total distance of 300km north of the train station what is the average speed of the train? what is the velocity of the train? Click here to see answer by palanisamy(496)

 Question 262186: Chris starts his run at 7:00 a.m. He runs at a rate of 4 miles per hour. His course takes him three miles out and then back along the same path. John runs at a rate of 6 miles per hour, starting at 7:10 a.m., and he runs the same course. How many minutes elapse between the time John finishes and the time Chris finishes? Click here to see answer by texttutoring(324)

 Question 262200: A car travels 120 miles from A to B at 30 miles per hour but returns the same distance at 40 miles per hour. What is the average speed for the round trip? Click here to see answer by richwmiller(10276)

 Question 262214: an ant can walk 1 cm/s faster than a beetle. from points that are 50cm apart the ant and the beettle start walking directly towards each other and meet in 10 secs. how fast does each of them walk. asume they both started walking at the same time Click here to see answer by drk(1908)
 Question 262214: an ant can walk 1 cm/s faster than a beetle. from points that are 50cm apart the ant and the beettle start walking directly towards each other and meet in 10 secs. how fast does each of them walk. asume they both started walking at the same time Click here to see answer by palanisamy(496)

 Question 262225: I am completely confused on how to do this problem... Bert is 17.5 kilometers away from Brenda. Both begin to walk toward each other at the same time. Bert walks at 2 kilometers per hour. They meet in 5 hours. How fast is Brenda walking? Please help! :) Click here to see answer by Alan3354(34677)

 Question 262319: how much is Sixty miles per hour is the same rate as which of the following? Click here to see answer by unlockmath(1657)

 Question 262305: A man jogs at 6 mph while a cyclist moves at 18 mph. After how long will the jogger be overtaken if the cyclist leaves one hour after the jogger begins the course? This is the table that I've set up so far, I cannot seem to get beyond this point because I do not know a distance for the two travelers. Speed: 6 18 Distance: Time: x x+60 Click here to see answer by Edwin McCravy(9717)

 Question 262334: Two cyclists begin traveling in the same direction on the same bike path. One travels at 20 miles per hour, and the other travels at 14 miles per hour. After how much time will the cyclists be 15 miles apart? I have NO clue or idea what to do..I don't know any steps or anything. Please help me..thank you. Click here to see answer by CharlesG2(828)

 Question 262357: two cars that are traveling toward each other are 455 miles apart. One car is traveling 10 miles per hour faster than the other car. The cars pass after 3.5 hours. How fast is each car traveling? Click here to see answer by checkley77(12569)

 Question 262346: Suppose that the length of a rectangle is 7 centimeters less than three times its width. The perimeter of the rectangle is 98 centimeters. Find the length and width of the rectangle. Click here to see answer by checkley77(12569)

 Question 262345: The distance between City A and City B is 325 miles. A freight train leaves City A and travels toward City B at 45 miles per hour. At the same time, a passenger train leaves City B and travels toward City A at 85 miles per hour. How long will it take the two trains to meet? Click here to see answer by checkley77(12569)

 Question 262331: A freight train left Tutuban station a 4 am, travelling 30 miles per hour. At 6 am, an express train travelling 50 miles per hour left the same station. When did the rtrain overtake the freight train? Click here to see answer by checkley77(12569)

 Question 262409: Olimpiada Ivanova,a world-record holding race-walker,is on one end of a 6 mile track. John Doe,an average walker,is on the other end of the track. The two start walking towards each other and meet in 1/2 hour. If Olimpiada's average speed exceeds John's by 6 mph,find the speed of both walkers.Use the 5-step method. Also, be sure to draw a distance diagram and fill in a table to set up the problem. (I've done the first 3 steps.) 1st step- Use variables to represent your unknowns. 2nd step- Draw a diagram in the space below. 3rd step- Fill in a table in the space below. 4th step- Set up and solve your equation. 5th step- Check. Click here to see answer by richwmiller(10276)

 Question 262521: a crew of eight can row 20 kilometers per hour in still water. The crew rows upstream and then returns to its starting point in 15 minutes. If the river is flowing a 2 km/h, how far upstream did the crew row? could you please show me how to set this problem up into an equation? Click here to see answer by ankor@dixie-net.com(16523)

 Question 262282: Len is planning a 3 hour trip down the Allenem River and back to his starting point. He knows he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How much time can he spend going down stream? How far can he travel? Click here to see answer by ankor@dixie-net.com(16523)

 Question 262628: If a plane can travel 440mph into the wind and 500mph with the wind, find the speed of the wind and the speed of the plane in still air. Click here to see answer by Alan3354(34677)

 Question 262649: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 15 minutes and then rows downstream, returning to his starting point in another 10 minutes. (a) Find the rate of the current. mi/hr (b) Find the total distance traveled. mi Click here to see answer by mananth(13127)

 Question 262663: I am struggling with equations for mpj's ultimate math lessons entitled "tortoise and the Hare" I have the following rate equations Tortoise is d=1000 = .75t hare is d=6t rate is d=1200 - 2t how to I know when the pass each other from the starting line? Click here to see answer by richwmiller(10276)

 Question 262577: Tina can run 12 miles in the same time it takes her to bicycle 72 miles. If her bicycling rate is 20 mph faster than her running rate, find each rate. Click here to see answer by mananth(13127)

 Question 262724: Someone took a trip it took 7 hours and 30 min to drive 375 miles. How many miles per hour was the average? Click here to see answer by Theo(3556)

 Question 262716: A driver travels 12 miles to work at a constant speed and travels the same distance home also at a constant speed. His speed on the trip home is 10 miles per hour faster than the trip to work and the total time for both trips is 1 hours. Find his speed on the way to work. Click here to see answer by drk(1908)

 Question 262729: Two miles upstream from his starting point, a canoeist passed a log floating in a river's current. After paddling upstream for another hour, he paddled back and reached his starting point just as the log arrived. Find the speed of the current. Click here to see answer by ankor@dixie-net.com(16523)

 Question 262788: a diver jumps from a diving board 24' above a pool. After t seconds, the diver's height h above the water (in feet) is given by the expression -16t^2+8t+24 in how many seconds will the diver hit the water (h=0) that is how it is in the book and i am lost Click here to see answer by ankor@dixie-net.com(16523)

 Question 262849: Two planes are leaving a certain airport and are flying an identical path. Plane A travels at a constant speed of 300 mph, and plane B, at 500 mph. Plane B leaves exactly one hour after plane A has left. How long does it take for Plane B to pass plane A? Click here to see answer by stanbon(60771)

 Question 262848: the formula h=vt-16t^2 gives the height h in feet of an object after t sec. Here v is the initial velocity of the object expressed in feet per second. suppose a toy rocket was launched from the ground straight up with an initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 ft above the ground. ok so here is what i have so far: using the formula and what is given i have 48=64t-16t^2 so i need to make it a quadratic like this 64t-16t^2-48=0 then multiply by -1 and put it in the correct order i get: 16t^2-64t+48=0 16(t^2-4t+3)=0 16(t-3)(t-1) so i get two positive answers. when i put t=1 into the formula like this: 48=64(1)-16(1^2) I get 48=48 but how can something launched at 64ft per second only be 48 feet up after 1 second? is my answer wrong or am i missing something in the physics of the problem? i hope my notation is clear. any help you can give would be appreciated. Click here to see answer by dabanfield(803)
 Question 262848: the formula h=vt-16t^2 gives the height h in feet of an object after t sec. Here v is the initial velocity of the object expressed in feet per second. suppose a toy rocket was launched from the ground straight up with an initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 ft above the ground. ok so here is what i have so far: using the formula and what is given i have 48=64t-16t^2 so i need to make it a quadratic like this 64t-16t^2-48=0 then multiply by -1 and put it in the correct order i get: 16t^2-64t+48=0 16(t^2-4t+3)=0 16(t-3)(t-1) so i get two positive answers. when i put t=1 into the formula like this: 48=64(1)-16(1^2) I get 48=48 but how can something launched at 64ft per second only be 48 feet up after 1 second? is my answer wrong or am i missing something in the physics of the problem? i hope my notation is clear. any help you can give would be appreciated. Click here to see answer by stanbon(60771)

 Question 262836: At 2 p.m., two cars leave Eagle River, WI, one headed north and one headed south. If the car headed north averages 50 mph and the car headed south averages 60mph, when will the cars be 165 miles apart? Click here to see answer by josmiceli(10616)