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

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Question 30519: this problem has got me buzzing please help
To pickup a rare serum neede to treat a sick child major Evans flew from Tinden air force base to Capitol City and back. Going he went 420mph and returning 480mph.If the round trip took one and a half hours how long did it take to get there? and how long to return?and the distance city to city
go time-
return time-
distance city to city-
Click here to see answer by checkley71(8403)

Question 30562: In a walk a thon to rais e money for charity, Elisa walked a certain distacne at 5mph and then jogged twice the distacne at 8mpn. Her total time walked and jogged was 2 hours and 15 minute. How far did Elisa get?
Click here to see answer by checkley71(8403)

Question 30581: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Click here to see answer by ikdeep(226)

Question 30584: A train, an hour after starting, meets an accident which detains it one hour, after which it proceed at 3/5 of its former rate and arrives 3 hours late. But, had accident happened 80km farther, it would have been 1.5 hours late only. Find the original rate of the train and the length of the journey.
Click here to see answer by Fermat(127)

Question 29093: Casey walks from A to B at 3mph and returns by bicycle at 12mph. Her return trip takes 2 hours less than her going trip. Find out how long it took to walk. Find out how long the trip took by bicycle. Find out how long the entire trip took. Find out how far it is from A to B
Click here to see answer by checkley71(8403)

Question 29089: At 7:00 am Joe stats jogging at 6mph. At 7:30 am Ken starts after him. How fast must ken run in order to catch him at 8:00 am? How far did each jog?
Click here to see answer by checkley71(8403)

Question 30625: Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, and drives for 8 miles. How far apart are the two cars?
Click here to see answer by Paul(988)

Question 30651: Snoopy flies his Sopwith Camel the 120 kilometers from London to Calais in 12 hours, flying into a headwind. The return trip, with the same wind as a tailwind, takes only 2 hours. How fast is Snoopy flying throught the air? How fast is the wind blowing?
I would really like to see the solution and answer to this problem!
Click here to see answer by Paul(988)

Question 30659: A car traveling at 10m/s starts to decelerate steadily. It comes to a complete stop in 20 seconds. what is the acceleration?
Click here to see answer by checkley71(8403)

Question 30662: An airplane travels down a runway for 4.0 seconds with an acceleration of 9.0 m/s2. what is its change in velocity during this time?
Click here to see answer by Paul(988)

Question 30695: an airplane has an airspeed of 500 kilometers per hour in a northerly direction. the wind is 60 kilometers per hour in a south easterly direction. Find the actual speed and dircetion of the plane relative to the ground.
Click here to see answer by Paul(988)

Question 30719: Please help me solve this! ** A farmer drives a tractor from one town to another town, a distance of 120 miles. He drives 10 miles per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
Click here to see answer by Paul(988)

Question 30831: If a bullet is shot straight up at 256ft/sec. when will it hit the ground?
Click here to see answer by Nate(3500)

Question 30844: Its been a long time since I did problems like this. I know there a formula just can't remember, can you please walk me through them. Thanks

A)How many seconds should elapse between two consecutive mile markers if the
car's average speed is 65 mi/hr?
B)What is the car's average speed if it takes 65 s to travel between the mile markers?
Question 2: A car with an initial velocity of 3.5 m/s coasts with the engine off and the transmission in neutral. If the combined effect of air resistance and rolling friction causes a constant deceleration of 0.50 m/s2, after how long a time will the car come to a stop?
Question 3: An arrow is shot vertically upward. Three seconds later, it is at a height of 35m.
A)What was the initial speed of the arrow?
B)How long is the arrow in flight from launch to returning to the initial height? (Assume the arrow falls vertically downward.)

Click here to see answer by acerX(62)

Question 30664: A boy throws a rock straight up into the air. It reaches the highest point of its flight after 2.5 seconds. How fast was the rock giong when it left the boys hand?
Click here to see answer by venugopalramana(3286)

Question 30663: A child drops a ball from a bridge. The ball strikes the water under the bridge 2.0 seconds later. What is the velocity of the ball when it strikes the water?
Click here to see answer by venugopalramana(3286)

Question 30904: Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of 3 hours, they are 96 miles apart. How fast is each car traveling?
Click here to see answer by aussie7us(3)

Question 30900: I am having a hard time with word problems if you could help me I would appreciate it here it goes: a plane flying with the wind went 600 miles in 3 hours. The return trip,flying against the wind took 4 hours. Find the rate of the plane in calm air and the rate of the wind.
Click here to see answer by Paul(988)

Question 30968: Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of 3 hours, they are 96 miles apart. How fast is each car traveling?
Click here to see answer by Paul(988)

Question 30969: Two boats leave port at the same time, one heading north at 38 knots, the other south at 30 knots. How long will it take them to be 680 nautical miles apart?
Click here to see answer by Paul(988)

Question 30973: Two cars are traveling in the same direction on a road. The car that leads is traveling at 46 miles per hour. The other car is traveling at 70 miles per hour. How many miles apart will they be 30 minutes before the faster car catches the slower one?
Click here to see answer by Nate(3500)

Question 31025: Please help me set this up. Fred leaves John's house and drives toward Tampa at 27mph. Kim leaves 2 hours later and drives the same route at 45 mph. How long will it take Kim to overtake Fred?
Click here to see answer by acerX(62)

Question 31099: A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed but takes a different route. His return trip takes 1 hour longer and is 29 miles. Find his speed.
I had this problem on a test and got it wrong. I now know the answer is 5, but I still don't understand HOW to get the answer. I really want to learn how to do this. I would appreciate any help. Thanks.
Click here to see answer by Paul(988)

Question 31230: Two ferryboats leave opposite sides of a lake at the same time. They pass
eachother when they are 800 meters from the nearest shore. When it reaches
the opposite side, each boat spends 30 minutes at the dock and then starts
back. This time the boats pass each other when they are 400 meters from the
nearest shore. Assuming that each of the boats travels at the same speed in
both directions, how wide is the lake between the two ferry docks?
Click here to see answer by venugopalramana(3286)

Question 31292: ching leaves san fran. and travels toward la. at 50 mi/h. and hour later phil leaves la. and travels toward san fran. at 60mi/h. if the two cities are 380 miles apart, how many hours will it take for ching to meet phil?
Click here to see answer by Paul(988)

Question 31317: ching leaves san fran.and travels toward la at 50mi/h. an hour later ,phil leaves la and travels toward san fran at 60 mi/h if the two cities are 380 miles apart ,how many hours will it take for ching to meet phil?
Click here to see answer by Paul(988)

Question 31358: The perimeter of a square garden is 12m greater than the perimeter of a smaller square garden. The area of the larger garden is 105 m squared greater than that of the smaller garden. Find the dimensions of the larger garden.
Click here to see answer by Fermat(127)

Question 29846: Hello! I am having problems with the following:
A commercial freight carrier is flying at a constant speed of 400miles/hour and is traveling 4 miles east for every 3 miles north. A private plane is observed to be 210miles due east of the commercial carrier, traveling 12miles north for every 5 miles west.
How fast is the private plane flying?
When will a collision take place if their paths are not averted?
I know this is a two system equation problem but I'm having problems setting up the equations? thank you so much!!
Click here to see answer by stanbon(57361)

Question 31486: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side road is 9 miles/hour faster than his rate on the freeway, find his rate on the side road.

Click here to see answer by mbarugel(146)

Question 31561: Can you please help me with this?
A software development company is getting ready to release a new product. The QA Director is notified the following. A Junior Verification Engineer takes 1 hour longer to fix a bug (in the code) than it takes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves?
Click here to see answer by mukhopadhyay(490)

Question 31613: Fourteen people are entered in a race. If there are no ties, in how many ways can the first two places come out?
(A) 364
(B) 182
(C) 28
(D) 214
Thanks!
Click here to see answer by Cintchr(481)

Question 31615: Jamestoen Builders has a developemtn of new homes. There are six different floor plans, ten exterios colors and an option of either a one-car or a two car garage. How many choices are there for one home?
(A) 180
(B) 114
(C) 60
(D) 120
Thank you!
Click here to see answer by venugopalramana(3286)

Question 31683: can you give the answer quick
Its takes you 1.5 to drive the 60 miles to Boston what is your average speed in miles/hour

Click here to see answer by checkley71(8403)

Question 31844: Two cars started from the same point on a straght course in opposite directions for exactly 2 hours, at which time thy were 208 miles apart. if one traveled on average 8 miles faster than th eother care, what was the average speed for each care for the 2 hour trip?
Click here to see answer by Paul(988)

Question 31946: A private plane leaves midway airport and flies due east at a speed of 180km/h. Two hours later, a jet leaves Midway and flies due east at a speed of 900 km/h. How far from the airport will the jet overtake the private plane?
Click here to see answer by Paul(988)

Question 32022: Amy and Beth live 10 miles from the grocery store. Amy gets in her care and drives to the store at 30mph. At the same time Amy starts Driving, Beth starts walking toward the store at 3mph. Amy spends 1 hour at the store, and then drives home at 30mph. When and where do Amy and Beth meet?
Click here to see answer by mbarugel(146)

Question 31944: Find the Approximate value for the rate at which the moon orbits the earth. Assume that the moon's orbit is circular. The average distance between the earth and the moon is 382,000,000 meters.
Click here to see answer by stanbon(57361)

Question 32152: one number is 5 times another. The sum of their reciprocals is 1/5. Find the two numbers.
Click here to see answer by mukhopadhyay(490)

Question 32152: one number is 5 times another. The sum of their reciprocals is 1/5. Find the two numbers.
Click here to see answer by stanbon(57361)

Question 32150: Three workers can complete a job in 3 hours, 5 hours, and 6 hours, respectively. How long will it take the workers to complete the job if they work together?
Click here to see answer by Earlsdon(6287)

Question 32149: David's boat can travel 11 miles downstream in the same amount of time it can travel 9 miles upstream. If the speed of the boat is 20 miles per hour in still water, find the speed of the current.
Click here to see answer by Paul(988)

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