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

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Word Problems: Travel and Distance

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Question 4985: a two digit number is 6 times the sum of its digits. the tens digit is 1 more than the units digit. find the number.
Click here to see answer by xcentaur(357)

Question 4902: If a triangular prism and a triangular pryamid have equal bases and equal altitudes, the volume of the prism is how many times the volume of the pyramid?
Click here to see answer by rapaljer(3610)

Question 4909: If a triangular prism and a triangular pryamid have equal bases and equal altitudes, the volume of the prism is how many times the volume of the pyramid?
Click here to see answer by rapaljer(3610)

Question 4978: a jar of dimes and quarters contains $15.25. there are 103 coins in all. how many of each are there?
Click here to see answer by rapaljer(3610)

Question 5092: I know that this motion problem involves a system of two equations and I could solve it if I could only figure out how to set it up correctly. I have been using the Distance = Rate x Time formula to try and set it up, but I just can't figure it out and it's driving me nuts! Here's the problem:
"An express train and a local train leave Gray's Lake at 3PM and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train."
Here's what I've tried to do to set this up. I've tried to set up a table so I can see what my equations should be. I'll try to approximate below.
Using the Rate x Time = Distance formula. Let s=The speed the train is traveling and let t=the time that it takes to get to Chicago.
Rate Time Distance
Local s x t =50
Express 2(s)x t-1 =50
The above is as far as I get, but I don't think it's right and thus won't get me to the speed that each train is traveling at.
Help!
Karen Henry

Click here to see answer by rapaljer(3610)

Question 5083: The scale on a map is 2 cm to 5 km. Kern and Dent are 16 km apart. How far apart are they on the map? Please explain and solve.
Click here to see answer by rapaljer(3610)

Question 5093: If Sally can paint a house in 4 hours and John can paint the house in 6 hours. How long will it take them to paint the house together?

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Question 5090: At what time after 7 o'clock will the hands of the clock be
a) together?
b) at right angle?
c) on a straight line?
Click here to see answer by lotanez(23)

Question 5087: Peter drove to work at 40 miles per hour and arrived one minute late. If he had driven at 45 miles per hour, he would have arrived one minute early. How far does Peter drive to work? Please explain and solve.
Click here to see answer by rapaljer(3610)

Question 4984: the sum of the digits of a two digit number is 14. if the number represented by reversing the digits is subtracted from the original number, the result is 818. what is the original number?
Click here to see answer by arunpaul(104)

Question 5240: two cyclists starts from the same point and ride in opposite directions. onecyclist rides 5 mph faster than the other. in 5 hour the cyclists are 175 miles apart. find the rate of the slower cyclist.
Click here to see answer by longjonsilver(2297)

Question 5239: how many liters of a face cream that cost $3360 per liter must be mixed with 12 liters of face cream that cost $1120 per liter to make a face cream that cost $1680 per liter?

Click here to see answer by longjonsilver(2297)

Question 5399: A 5 horsepower pump can empty a pool in 5 hours. A smaller 2 horsepower pump empties the same pool in 8 hours. The pumps are used together to begin emptying this pool. After 2 hours the 2 horsepower pump breaks down. How long will it take the 5 horsepower pump to empty the pool?
Click here to see answer by Abbey(339)

Question 5376: John can run a certain course in 9 min and Henry can run it in 6 min. If they start at opposite ends and run towards one another, how long will they run before they meet?
Click here to see answer by Abbey(339)

Question 5336: How would you solve a word problem using the formula (d=rt)?? An example: in 1.3 hours, a pilot flew a twin-engine propeller plane 403 miles. What was the average speed of the aircraft? a. 310 mph b. 313 mph or c. 303 mph Dont have to have the answer just need the steps to solve the formula. Thanks, Rebecca :)
Click here to see answer by guapa(62)

Question 4980: there were 429 people at a play. admission was $1 for adults and $0.75 for children. the receits were $372.50. how many adults and how many children attended the play?
Click here to see answer by CharStar(110)

Question 5637: If 3x+5x=-8, then x+1=

Click here to see answer by prince_abubu(198)

Question 5692: A swimming pool can be filled in 6 h and requires 9 h to drain. If the drain was accidentally left open for 6 h while the pool was being filled, how long did filling the pool require?
Click here to see answer by prince_abubu(198)

Question 5689: A bicycle club left the campus to ride to a park 24 mi away for an outing. Lynn left from the same place by car with picnic supplies 1 1/2 hr later, taveled at a speed 4 times as fast, and arrived at the parl at the same time as the cyclists. How fast did Lynn drive?
Click here to see answer by prince_abubu(198)

Question 5687: Charles and Paul enter the Center Point - Comfort Hill Country Run. Charles runs at 8 mi/h and Paul at 6 mi/h. If they start together, how long before Charles is 1/4 mi ahead of Paul?
Click here to see answer by prince_abubu(198)

Question 5764: Two cars start together and travel on 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 prince_abubu(198)

Question 5722: A jumbo jet left an airport at the same time as a small private plane that followed the same flight plan during the first hour of its flight. The speed of the jet was 5 times that of the small one, and at the end of the hour it was 500 mi ahead. What was the speed of the larger plane?
Click here to see answer by guapa(62)

Question 5750: Two trains were traveling in opposite directions, moving away from one another. One train was moving at 5 miles per hour. The other train was moving at 6 miles per hour. They were 5 miles apart to begin with. After two hours, how far apart were they?
Click here to see answer by guapa(62)

Question 5868: Two motorists, one travelling 5 kph faster than the other, leave the same place at the same time and travel in opposite directions. Find the rate of each if they are 195 km apart after 3 hours.
Click here to see answer by Abbey(339)

Question 5867: Mark leaves the house for school walking at the rate of 4 kph. Two hours later Joyce follows Mark at 4.5 kph. How long will it take Joyce to overtake Mark?
Click here to see answer by Abbey(339)

Question 5866: A car starts at 7 AM and travels at 80 kph. Another car starts at 10 AM from the same place and goes in the same direction. How fast will it have to go to catch up with the first one by 4 PM of the same day?
Click here to see answer by Abbey(339)

Question 5864: A train traveling at 60 kph covers a given distance in 3 hours. By how many kilometers per hour must its rate be increased so that it will travel the distance in one-half hour less time?
Click here to see answer by Abbey(339)

Question 4964: a train leaves a station and travels east at 72 km/h. Three hours later a second train leaves on a parallel track and travels east at 120 km/h. When will it overtake the first train?
Click here to see answer by arunpaul(104)

Question 5950: Two trains which are 80 kilometerse apart start to travel at the same time toward each other. If the first travels at the rate of 55 kph and the second one at 45 kph, after how many hours will they meet?
Click here to see answer by jainenderkapoor(60)

Question 6176: Two cars are 1000 miles apart. They start travelling towards each other at 100 and 200 mph. How far apart will they be 1 hour before they meet.
Thanks.
imazine there are 2 cars
1000m
A ________________________________________________________ B
After 1hr
100m A 700m B 200m
__________________________________________________________
Click here to see answer by ki(6)

Question 6239: Steven and Sarah can finish apiece of work in 18days. Steven can do the job himself in twenty-four days. If Sarah wanted to do the job alone, how long would it take her?
Click here to see answer by Earlsdon(4898)

Question 6250: how many years will it atke $6000 invested at 8% interest to earn $1680
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Question 6314: Your help is greatly appreciated. Here is my problem:
A boy can drive a motorboat 45 miles downstream in the same amount of time that he can drive 27 miles upstream. What is the speed of the current in the river if the speed of the boat in still water is 12 mph
Click here to see answer by AnlytcPhil(958)

Question 6376: if i am traveling at 35 miles per hour, how long will it take me to travel 7 miles? also, i would like to see the formula. thanks, jerry
Click here to see answer by minerva(22)

Question 6491: While traveling with the wind a plane flies 300 miles in 40 minutes. It returns against the wind in 45 minutes. Find the air speed of the plane and the rate of the wind. Use a system of equations to solve the problem
Click here to see answer by srinivas123(23)

Question 6249: a) An automobile travels m miles in h hours. At this rate, how far will it travel in X hours?
Click here to see answer by arunpaul(104)

Question 6503: My problem:
A plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 20 mph, whqat is the speed of the plane in still air?
Click here to see answer by srinivas123(23)

Question 6617: How many m/p/h to travel 1 mile in 45 minutes?
Click here to see answer by prince_abubu(198)

Question 6642: mr. west drove his car from home to chicago at the rate of 40 mph. amd returned at a rate of 45mph. if his time going exceed his time returning by 30 minutes, find his time going and his time returning
Click here to see answer by prince_abubu(198)

Question 6643: A man travel upstream at 8 miles per hour and downstream 12 miles and hour. This took him 2 hours to do. What is his average speed
Click here to see answer by prabhjyot(164)

Question 6682: Two planes start from the same airport and fly in opposite directions. The second plane starts one-half hour after the first plane, but its speed is 50 miles per hour faster. Find the ground speed of each plane if two hours after the first plane starts its flight the planes are 2000 miles apart.
Click here to see answer by prince_abubu(198)

Question 6710: the car traveled 28 miles in 30 minutes how fast was the car going

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Question 6903: Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages 45 mi/h. When will they be 400 miles apart?

Click here to see answer by bonster(299)

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