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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 117631: AN ACCOUNTANT RIDES A BUS PART OF THE WAY TO WORK EVERY DAY AND WALK THE REST OF THE WAY. THE BUS AVERAGES 40MPH AND THE ACCOUNTANT WALKS AT A SPEED OF 3MPH.THE DISTANT FROM HOME TO WORK IS 22MI AND THE TOTAL TIME FOR THE TRIP IS
3 HOURS. FIND HOW FAR THE ACCOUNTANT WALKS.
Click here to see answer by Fombitz(2113)   |
Question 117628: AN ACCOUNTANT RIDES THE BUS PART OF THE WAYTO WORK EVERY DAY AND WALKS THE REST. THE BUS RIDES 40 MPH AND THE ACCOUNTANT WALK 3MPH. THE DISTANCE FROM WORK IS 23 MILES. THE TOTAL TIME IT TAKES THE ACCOUNTANT TO GO TO WORK IS 3HRS. HOW FAR DOES THE ACCOUNTANT WALKS?
Click here to see answer by checkley71(8405)  |
Question 117907: Not sure how to set this one up. can you help please. Thanks
solve and check
t1=3
t2=2
v1
v2 = v1+8
Distance = velocity * time
Given Distance = 291
Distance to the meeting = v1 *t1 =D1
Distance back from meeting = v2 * t2=D2
Total trip Distance = D1 + D2
291 = 3(v1) + 2(v1+8)
291 = 3v1 + 2v1 + 16
Combine like terms and solve for v1
291= 5v1 + 16
291-16 = 5v1+16-16
275 = 5v1
275/5 = v1
55 mph = v1
Now you can find v2 which is equal to v1 + 8: v2 = 55 + 8 = 63 mph
Hope that helps!
misscrt
A consultant traveled in a car for 3 hrs to attend a meeting. The return trip took only 2 hrs (different route) because his speed was 8 miles per hr faster. The total trip was 291 miles. What was the consultant's speed each way?
Click here to see answer by misscrt(37) |
Question 117863: SOLVE AND CHECK THE ANSWER
A CONSULTANT TRAVELED IN A CAR FOR 3 HOURS TO ATTEND A MEETING. THE RETURN TRIP TOOK ONLY 2 HOURS (DIFFERENT ROUTE) BECAUSE HIS SPEED WAS 8 MILES PER HOUR FASTER. THE TOTAL TRIP WAS 291 MILES. WHAT WAS THE CONSULTANT'S SPEED EACH WAY?
Click here to see answer by ankor@dixie-net.com(6685)  |
Question 117868This question is from textbook College Algebra
: Come with your responses to the following questions:
a) A satellite has an elliptical orbit around the earth with one focus at the earth’s center, E. The earth’s radius is 4000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite’s orbit. (This is number 24 on page 491.)
b) As a follow up, develop two more examples with different values other than 800 and 200. Show your equations, work, and examples.
c) Compare your results and examples to the information found at the following site: http://ilrs.gsfc.nasa.gov/satellite_missions/slr_sats.html.
d) Look at the data under the table titled SLR Satellite Orbit Information, and see if you find any satellites that are close in terms of the eccentricity calculated for the initial problem. Note any that are close to the same eccentricity your team calculated.
This question is from textbook College Algebra
Click here to see answer by Earlsdon(4898) |
Question 117126: Problem: A train leaves Chicago for Detroit going 60 mph. At the same time, on an adjacent track, a train leaves Detroit heading for Chicago going 45 mph. Detroit is 280 miles from Chicago. How far are the trains from Chicago when they pass? Help, have been working on for 2 days and I think the answer to this problem is that the trains will be 160 miles from chicago when they meet, but i'm supposed to solve with a system on equations and solve eithe by subst. of combination. I solved this intuitively, thinking combined speeds (60x+45x=280) x=2.66 hrs when they meet, then plug back in...60*2.66=~160miles from chi.
Click here to see answer by bucky(1732) |
Question 118215: An airplane traveled 2660 miles in 3.5 hours with a tail wind. The return trip took 3.8 hours with a head wind. What was the speed of the airplane in still air? What was the speed of the wind? Solve by using a system oi\f equations.
Click here to see answer by stanbon(26249) |
Question 118215: An airplane traveled 2660 miles in 3.5 hours with a tail wind. The return trip took 3.8 hours with a head wind. What was the speed of the airplane in still air? What was the speed of the wind? Solve by using a system oi\f equations.
Click here to see answer by checkley71(8405) |
Question 116562: A Car travels downhill at 72 mph, on the level at 63 mph, and uphill at 56 mph. The trip from point A to point B takes 4 hours, and the return trip takes 4 hours, 40 minutes. What's the distance between points A & B? Please give me the correct formulas/steps to work this problem out.
Click here to see answer by stanbon(26249) |
Question 118277: A ball is thrown upward from the to of a 98-meter tower with an initial speed of 39.2 m/s. How much later will it hit the ground? Hint: If h is the height of the ball above the top of the tower, then h=98 when the ball hits the ground
Click here to see answer by stanbon(26249) |
Question 118425: Bicyclists A and B leave the same point P at the same time at right angles. B travels 7 mph faster than A. After 3 hours they are 39 miles apart. Find the speed of each bicyclists.
I figured out that the answers are 5 and 12 mph but I can't figure out how to do it algebraically. If you could help that would be great!
Click here to see answer by stanbon(26249) |
Question 118440: A person riding a motorcycle leaves 1 hr after a person riding a bicycle. Both travel the same road. If the person riding the bicycle is traveling at 10mpr and the person riding the motorcycle is traveling at 30mpr, how long will it take the motorcycle to overtake the bicycle?
The answer I think is 30min but what is the equation to that?
Click here to see answer by ankor@dixie-net.com(6685) |
Question 118454: ok, its a project. the problem is: asafa powell is the worlds fastest man. in the 100meter he currently broke the world record by a time of 9.74 secounds, i run the 100 meter sprint in 10.9 secoounds. what i would like to know is if we race nd we take off at the same time what would be the distance between me and him, right when he crosses the finish line. hard isnt it? well i tried but i cant seem to sole it, however i think i am on the right track i think ration plays a role in this. well ty for your time and i hope you can solve this and show me how to solve it please thankyou
arthur
Click here to see answer by ankor@dixie-net.com(6685) |
Question 118934: a motorcycle breaks down and the rider has to walk the rest of the way to work.the motorcycle was traveling at 45mi/h,and the rider walks at a speed of 6mi/h.the distance from home to work is 25 miles,and the total time for the trip was 2 hrs.how far did the motorcycle go before it broke down?
Click here to see answer by mayank(15) |
Question 118932: it takes a passenger train 2 hrs less time than it takes a freight train to make the trip from central city to clear creek.the passenger train avarages 96km/h while the freight train averages 64km/h.how far is it from central city to clear creek?
Click here to see answer by mayank(15) |
Question 118971: I am having trouble setting up the initial equation; I always have this problem when encountering a story problem.
A bus leaves a station at 1 P.M., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by solver91311(5072)  |
Question 118874: If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula S= -16t SQRD+vt+S . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth?
Click here to see answer by ankor@dixie-net.com(6685) |
Question 119410: How do I put this word problem into an equation?
May rides her bike the same distance that leah walks. May rides her bike 10 km/h faster than leah walks. If it takes May 1 hour and Leah 3 hours to travel that distance, how fast does each travel?
I can figure the equation out, i just need help puting the word problem into a equation
Click here to see answer by stanbon(26249) |
Question 119410: How do I put this word problem into an equation?
May rides her bike the same distance that leah walks. May rides her bike 10 km/h faster than leah walks. If it takes May 1 hour and Leah 3 hours to travel that distance, how fast does each travel?
I can figure the equation out, i just need help puting the word problem into a equation
Click here to see answer by josmiceli(3003) |
Question 119648: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Click here to see answer by nilan(10) |
Question 119778: Two cars pass Exit 20 on the turnpike at 8:00 A.M. One car is traveling north and the other is traveling south ata speed that is 4km/h faster than the northbound car. At 8:45 A.M. the cars are 117km apart. Find the speed of the southbound car.
Click here to see answer by checkley71(8405) |
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