Tutors Answer Your Questions about Travel Word Problems (FREE)
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(12844)  |
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.
----------------------
A-Boat DATA:
distance 50 km ; Rate = x kph ; time = 50/x
-----------------------
B-Boat DATA:
distance = 60 km ; rate = 3x kph ; time = 60/(3x)
----------------------------------
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.
-------------
Cruiser DATA:
distance = 50 km ; rate = x kph ; time = 50/x hrs
--------------
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(2198)  |
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(2198) |
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(22740)  |
Question 142315: During the first part of a trip, a canoeist travels 54 miles at a certain speed. The canoeist travels 22 miles on the second part of the trip at a speed of 5 mph slower. The total time of the trip is 3 hours. What was the speed on each part of the trip?
Click here to see answer by stanbon(75887) |
Question 142720: Eric is 1 mile ahead of Dave
Eric is driving 60 mph
Dave is driving 70 mph in the same direction
How many miles til Dave catches Eric?
Could you show me the formula for this question also?
This is not out of a book, a friend from work asked me this and told me the answer was 4.9999miles, and I wanted to make sure he was right. Thanks
Click here to see answer by edjones(8007)  |
Question 142725: A speedboat could travel at 6 times the speed of the current. Thus, it could travel 350 miles downriver in 3 hours more than it took to travel 150 miles upriver. What was the speed of the boast in still water?
Click here to see answer by ptaylor(2198) |
Question 142741: A truk is loaded with sugar cane and driven to a sugar mill 50 km away. The truck is then off-loaded and returns empty. The speed of the loaded truck is five times slower than that of the empty truck. If the driving time to the mill and back is 2 hours and 30 minutes, calculate the speed of the loaded truck.
Click here to see answer by checkley77(12844) |
Question 142851: At 9pm, Lucy started to gallop her horse at 20 miles per hour to catch Edmund, who had a three hour head start, and if Lucy was still 40 miles behind at 11 pm, how fast was Edmund riding?
(PS: Please show how you got your answer, so I can see how you worked it. This problem is giving me major problems. It has been explained to me 2 different ways, but I don't understand either way. Thanks.)
Click here to see answer by psbhowmick(878)  |
Question 143133: An express and local train leaves Allen's point at 3 P.M. 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. i came up with 75 mph for the express and 58 for the local, but this doesn't seem right.
Click here to see answer by ptaylor(2198) |
Question 143191: If someone could please help with the following. I am lost where to start.
Two cars leave an intersection. One car travels north, the other east. When the car travelling north had gone 9km, the distance between the cars was 6km more than the distance travelled by the car heading east. How far had the eastbound car travelled.
Thank you.
Click here to see answer by edjones(8007) |
Question 143166: The formula for calculating the amount of money returned for an initial deposit into a bank account or CD(cetificate of deposit) is given by
a=p(1+r/n)
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate(expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Supposed you deposit $2,000 for 5 years at a rate of 8%.
a)calculate the return (A) if the bank compounds annulally (n=1). Round your answer to the hundredths place.
ANSWER:
SHOW WORK:
B) calculate the return (A) if the bank compounds quarterly (n=4). Round answer to the hundredths place.
ANSWER:
SHOW WORK:
C)Does compounding annually or quarterly yield more interest? Explain why>
ANSWER:QUARTERLY EARNS MORE INTEREST.
EXPLAIN: BECAUSE YOU MAKE INTEREST ON THE INTEREST DOING IT QUARTERLY.
d)if a bank compounds continuously, then the formula used is A=P square root of e where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round to hundredths place.
ANSWER:
SHOW WORK:
E) a commonly asked question is, how long will it take to double my money? At 8% interest rate and continuous compounding, what is the answer? tound your answer to the hundredths place.
ANSWER:
SHOW WORK:
Click here to see answer by checkley77(12844) |
Question 143226: Hi, this is a question from the Math Review for the GRE General Test.
Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip?
Thank you so much for the help,
Lauren
Click here to see answer by solver91311(24713)  |
Question 143301: Chris and Michelle arrive in North Carolina by plane at 7:00 a.m. After renting their car, they head towards their hotel. On the way they must pass over an extremely sloped 2 mile hill.
Chris tells Michelle that he is going to average 30 mph for the 2 miles (to the top and back down). Michelle says, “Okay, go for it.”
Chris begins by driving slowly up the hill and reaches the top (1 mile mark) when Michelle tells him, “Chris, you better pick up the pace, it has taken 4 minutes to get to the top and we still have 1 mile to go (down).” Upset Chris says, “Forget it Michelle, I can’t do this.” Michelle says, “Sure you can.” Chris says, “No I can’t.”
If speed and safety were not an issue, how fast must Chris travel to get to the bottom of the mountain? Does Chris know something that Michelle does not?
Click here to see answer by ptaylor(2198) |
Question 143523: I need some help in trying to solve the following equation. I have been trying to solve it by using r+50 = 1200/t and r-50 = 1000/4-t but cant seem to get an answer that works back into the equation.
A jet traveling at a constant speed goes 1200km with the wind, then turns around and travels for 1000 km against the wint. If the speed of the wind is 50 km/h and the total flight took 4 hours, find the speed of the plane in still air.
Thank you.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 143652: if two friends leave from the same place traveling to a destination of 720 miles away, and one leaves 2 hours before the other traveling at a rate of 60 miles an hour and the other leaves traveling at a rate of 80 miles an hour, at what time would they pass eachother on the road?
Click here to see answer by josmiceli(19441)  |
Question 143652: if two friends leave from the same place traveling to a destination of 720 miles away, and one leaves 2 hours before the other traveling at a rate of 60 miles an hour and the other leaves traveling at a rate of 80 miles an hour, at what time would they pass eachother on the road?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 143737: Hello. My question is about uniform motion. The problem is as follows:
Chris and Michelle arrive in North Carolina by plane at 7:00 a.m. After renting their car, they head towards their hotel. On the way they must pass over an extremely sloped 2 mile hill.
Chris tells Michelle that he is going to average 30 mph for the 2 miles (to the top and back down). Michelle says, "Okay, go for it."
Chris begins by driving slowly up the hill and reaches the top (1 mile mark) when Michelle tells him, "Chris, you bettter pick up the pace, it has taken 4 minutes to get to the top and we still have 1 mile to go (down)." Upset Chris says, "Forget it Michelle, I can't do this." Michelle says, "Sure you can." Chris says, "No I can't."
If speed and safety were not an isssue, how fast must Chris travel to get to the bottom of the mountain? Does Chris know something that Michelle does not?
My dilemma is: I think the arrival time and slope are irrelevant. I have worked out that Chris knows it's impossible to finish the decent because he has already used his rate of travel on the hills incline. I cannot however figure out how to put my logic into a formula even given that d=rxt. I just don't see it. Please help.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 143777: If you could say one number every second, which of the following is the best estimate of how long it would take to count to one-trillion?
A. 32 days
B. 32 Years
C. 32 thousand years
D. 32 million years
Thanks for any help you can give.
Click here to see answer by rapaljer(4671)  |
Question 143978: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a tain 50 meters from the car and heading toward the same crossing. How far is the tain from the crossing?
This problem is in a chapter that includes factoring equations and the Pythagorean theorem. Thanks for any help you can give me!
Click here to see answer by vleith(2983) |
Question 144054: A baseball hit with initial upward velocity of 26 meters per second will reach a height (h) in meters after (t) seconds, as estimated by the rule h=2+26+t-4.9t^2
What is the height of the baseball when it is hit? (I need to see how do you figure this out)
Click here to see answer by scott8148(6628)  |
Question 144299: Jacob drove from St. Petersburg, Florida to Phoenix, Arizona, stopping in Baton Rouge, Lousiana and El Paso, Texas along the way. He spent 40 hours driving in all.
Between St. Petersburg and Baton Rouge, a distance of 734 miles, Jacob's average speed was 47 miles per hour. What was his average speed from Baton Rouge to Phoenix?
Click here to see answer by stanbon(75887) |
Question 144313: Hello- I am doing an advanced algebra review for our final tomorrow and i need help with one problem..would you please help me..Thanks
An airplane can fly 376 miles one way in 2 hours flying into a given head wind. On the return trip, flying with the same wind, it only takes 1 hour. Find the speed of the wind..
I tried the problem a couple of times but i kept getting -94 mph..and i knew that wasnt right
Thanks
Click here to see answer by scott8148(6628) |
Question 144426: Hi, please help...
A family has two cars. In a given week, the first car gets an average of 30 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1525 miles in that week, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by Alan3354(69443)  |
Question 144507: A cattle train left Miami and traveles toward New York, 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling four hours the diesel train finally caught up.
What was the cattle train's average speed?
Click here to see answer by ankor@dixie-net.com(22740) |
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27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620
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