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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 138999: A woman who lives in the suburbs normally gets to her job downtown by bicycling to the nearest subway stop and then taking the train from there. When she times it exactly right and doesn’t have to wait for a train, the journey takes her 30 minutes. One day she has to bicycle the whole way and it takes her 50 minutes. If her average speed on the bike is 12 mph, and the average speed of the subway is 24 mph, find how far it is from her home to the subway stop? How far is the subway stop from her job?
Click here to see answer by josmiceli(3003)   |
Question 139286: At a particular speed, a jumbo jet can travel its own length in 20 seconds. At the same speed, the jumbo jet taxied completely past a 710 foot long hangar in 70 seconds. What is the length of the jumbo jet?
Thanks for your help.
Click here to see answer by stanbon(26251) |
Question 139334: I need to solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat.
Thanks.
Click here to see answer by stanbon(26251) |
Question 139204: The equation d=rt represents the formula for total distance traveled. The distance traveled, d, is equal to the rate of travel, r, multiplied by the time of travel, t. Use this formula to help solve the following problem.
Tina and Tim work together and are planning to take a trip this weekend. On Friday afternoon, Tina gets a head start and leaves work in her car traveling at 45 mph. Three hours later, Tim leaves work on the same road at 65 mph. Assuming there is no traffic, in how many hours will Tim pass Tina?
A. Who will be driving longer and by how much?
B. Once Tim catches up with Tina, who will have gone the farther distance?
C. What equation represents this situation?
D. Solve the equation; show your work
E. How many hours did it take Tim to pass Tina?
Click here to see answer by ankor@dixie-net.com(6686)  |
Question 139479: The speed of a stream is 5km/h. If a boat travels 76kms downstream in 2 hrs less time than it takes to travel 54km upstream, what is the speed of the boat in still water.
I have gotten this far but am not sure if this is correct.
Downstream Boat D= 76km Rate= r+5 Time - t-2. Equation: 76= (r+5) * (t-2)
Upstream Boat D = 54 kms. Rate = r-5 Time = t. Equation 54km= (r-5) *t
To solve Upstream Boat of 54=(r-5)*t = 54= tr-5. Then I divide 54 by 5 to get 10.8. But I am stuck from here and do not think I am on the right track to solving this answer on the speed of the boat. Help would be appreciated. Thanks
Click here to see answer by frostusna(7) |
Question 139479: The speed of a stream is 5km/h. If a boat travels 76kms downstream in 2 hrs less time than it takes to travel 54km upstream, what is the speed of the boat in still water.
I have gotten this far but am not sure if this is correct.
Downstream Boat D= 76km Rate= r+5 Time - t-2. Equation: 76= (r+5) * (t-2)
Upstream Boat D = 54 kms. Rate = r-5 Time = t. Equation 54km= (r-5) *t
To solve Upstream Boat of 54=(r-5)*t = 54= tr-5. Then I divide 54 by 5 to get 10.8. But I am stuck from here and do not think I am on the right track to solving this answer on the speed of the boat. Help would be appreciated. Thanks
Click here to see answer by ankor@dixie-net.com(6686) |
Question 139882: please help me solve.
Driven from Albuquerque,NM to Rock Springs,WY. The average speed is 55 miles per hour. The Route is along interstate 25 to Cheyenne, Wy, then to interstate 80 to Rock Spring.
I added it up to 799 miles.
What would be the total driving time to the nearest half hour?
I figure it to be 14.5 hours.
Please show me the steps. I do not know how to write it out. Is this correct?
Click here to see answer by Earlsdon(4898) |
Question 140067This question is from textbook 
: A rental car company charges $35 a day plus $.15/mi for a mid-size car. A customer owes $117.25 for three-day rental. How many miles did the customer drive?This question is from textbook
Click here to see answer by checkley77(7032) |
Question 140229: James can hike three miles per hours faster on level ground than he can on uphill terrain. Yesterday, he hiked a total distance of 32 miles and spent 2 hours on level ground and 5 hours on uphill terrain. What is the rate of his speed on level ground?
Click here to see answer by ankor@dixie-net.com(6686) |
Question 140884: Two planes start from LA Internation airport and fly in opposite directions. The second plane starts 30 minutes after the first plane, but is 80 km per hour faster. Find the airspeed of each plane if 2 hours after the 1st plane departs the plane are 3200 km apart.
I went about setting up the equation:
x=speed of p1
x=speed of p2
2x-(3/2y)=3200,
but don't know what to do next... your help would be appreciated!! thanks.
Click here to see answer by stanbon(26251) |
Question 141168: Each day a man meets his wife at the commuter train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home, the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?
Click here to see answer by ankor@dixie-net.com(6686) |
Question 141489: Kathy and Jan drove a total of 497 miles in 10.4 hours. Kathy drove the first part of the trip and averaged 45 miles per hour. Jan drove the remainfer of the trip and averaged 55 miles per hour. for what length of the time did Kathy drive?
Click here to see answer by checkley77(7032) |
Question 141558This question is from textbook Algebra 1
: 1) At noon Joyce drove to the lake at 30 miles per hour, but she made the long walk back home at 4 miles per hour. How long did she walk if she was gone for 17 hours? How far did she walk? Begin by drawing a diagram of distances traveled and writing the distances equations.
2) Nine sixteenths of the girls belived that saltations was salubrious. If the other 700 girls were undecided, how many girls had made their minds concerning this topic?This question is from textbook Algebra 1
Click here to see answer by ankor@dixie-net.com(6686) |
Question 141774This question is from textbook 
: Don uses his small motorboat to go 5 miles upstream to his favorite fishing spot. Against the current, the trip takes 5/6 hour. With the current the trip takes 1/2 hours. How fast can the boat travel in still water. What is the speed of the current?
Thanks for your help!This question is from textbook
Click here to see answer by ptaylor(1578)  |
Question 141855: A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10° to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position?
Click here to see answer by stanbon(26251) |
Question 141704: Sheri drove southeast from Albuquerque to Roswell and then South to Carlsbad. She averaged 75mph along the route to from Albuquerque to Roswell and averaged 70mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell.
Click here to see answer by ankor@dixie-net.com(6686) |
Question 141815: George lives approximately 15 miles from the state park where he is employed. His currently traveling 35 mph in his personal vehicle from his home to the state park so that he can report for duty as scheduled. Assuming that his speed remains constant, how long will it take George to reach the state park from his home?
Click here to see answer by checkley77(7032) |
Question 141890: I refer to question number 139334 and question number 139296, both answerd by stanbon.
It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat.
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A-Boat DATA:
distance 50 km ; Rate = x kph ; time = 50/x
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B-Boat DATA:
distance = 60 km ; rate = 3x kph ; time = 60/(3x)
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EQUATION:
time A - time B = 3
50/x - 60/(3x) = 3
Multiply thru by 3x to get
150 - 60 = 9x
90 = 9x
x = 10 kph (speed of A-Boat)
3x = 30 kph (speed of B-Boat)
==========================
It takes a cabin cruiser 3 hours longer to travel 50kms than it takes a power boat to travel 60kms. The cruiser travels one third the speed of the power boat. Find the speed of each boat.
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Cruiser DATA:
distance = 50 km ; rate = x kph ; time = 50/x hrs
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Power Boat DATA:
distance = 60 km ; rate = 3x kph ; time = 60/(3x) hrs
-----------------
EQUATION:
cruise time = power boat time + 3 hrs.
50/x = 60/3x + 3
--------
Multiply thru by 3x to get:
150 = 60 + 9x
210 = 9x
x = 70/3 = 23 1/3 kph (cruiser speed)
3x = 70 kph (power boat speed)
==================
The questions are identical, save for the description of the boats, yet the answers are different.
Please confirm the answer to the second question is correct ...... I would have thought the equation should have read:
Multiply thru by 3x to get:
150 = 60 + 9x
90 = 9x
x = 90/9 = 10 kph (cruiser speed)
3x = 10*3 = 30 kph (power boat speed)
Thanks
George
Click here to see answer by ptaylor(1578) |
Question 141992: ii. You participate in a triathlon in which you swam 3 miles, ran 5 miles, and then bicycled 10 miles. You ran twice as fast as you swam, and cycled three times as fast as you swam. If your total time was 1 hr and 46 minutes, how fast did you swim?
Click here to see answer by ptaylor(1578) |
Question 142209: I am new to algebra and am having trouble solving the examples my friends submitted for our practice exercises. Can you help me with these two questions. I have tried to solve them using the d=r(t) but it doesn't work right, or I am doing it wrong.
1. Maria bicycles 5 km/h faster than Carlos . In the same time it takes Carlos to bicycle 30 km, Maria can bicycle 45 km. How fast does each bicyclist travel?
2. hat size head circum. (to nearest 1/5 inch) head circum to nearest cm
7 3/8 23 1/5 59
??? ????? 58
How do I solve this one? Please help
Click here to see answer by ankor@dixie-net.com(6686) |
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