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

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Question 108902: SOLVE FOR v.
u=5v
THANKS
JMS

Click here to see answer by elima(1433)

Question 108854: Ariana took 2 hour longer to drive 360 miles on the first day of her trip then she took to drive 250 miles on the second day. If her speed was the same on both days, what was the driving time each day?
Click here to see answer by Crashy(2)

Question 109031: In 1990 the percentage of children living with two parents was 72.5 and in 2002 it was 68.7
(a.) Assuming that the decrease was linear, write and equation relating the percentage y and the year x, with 1980 corresponding to x=0.
(b.) Graph the equation for the years 1990-2010.
(c.) Estimate the precentage of children living in two parent families in 2010.
****My delima, I cannot figure out how to write an equation (letter a) for this problem. My next question is to solve letter b and graph the equation for the other the years will I have to create a different equation for each given year?
THanks so much for all you guys do your help is wonderful and greatly appreciated!!!!
Click here to see answer by stanbon(57422)

Question 109097: A pair of skydivers jump out of an airplane 5.5 km above the ground. The equation H= 5500-5t2 is an approximate model for the diver's altitude in metres at t seconds after jumping out of a plane.
a.) After 10 seconds, how far have the divers fallen?
b.) They open their chutes at an altitude of 1000 metres. How long did they free-fall?
c.) If a parachute does not open at 1000 metres, how much time is left to use the emergency chute?
Click here to see answer by ankor@dixie-net.com(15667)

Question 109160: Taxi A travels 12mph faster than taxi B. Taxi A travels 140 miles in the same time it takes taxi B to travel 108 miles. Find the speed of each taxi.
Click here to see answer by ptaylor(2048)

Question 109162: Two trains leave from a station at the same time. They travel in opposite directions, one at 62 km/h, the other at 48 km/h. How long will it take before the are 550 km apart?
Click here to see answer by ptaylor(2048)

Question 109347: I just need to make sure this one is right...Here is the question:
In Detroit, the temperature in 69 F and is rising at a rate of 2 degrees F. In Atlanta, the temperature is 85 F and is falling at a rate of 3 degree F per hour. If the temperatures continue to change at the same reates, how long will it be before the temperatures are the same.
Write an equeaion---69+2(h) = 84 -3(h)
solve the equation...69+2h=84-3h
69+5h=84
5h=15
h=3
it would take 3 hours before the temperatures are the same
can you please just let me know if this is correct..thanks a bunch!!!!!!!!!
Carly
Click here to see answer by checkley71(8403)

Question 109350: ok...A page of a school yearbook is 8 1/2 inches by 11 inches. The left and right margins are 1 inch and 2 1/2 inches, respectively.. The space between pictures is 1/4 inch.. How wide can each picture be to fit 3 across the width of the page.
a. Write verbal model for this problem
LM + RM + 2(space b/w pics)+ 3(width of pics) = page width
I must be doing something really stupid, because I can't come up with the correct answer...
1+2 1/2+2(1/4) +3(w)=8 1/2
1+5/2 +2/4...
4/4+10/4+2/4...
16/4+3w=17/2
4+3w=17/2
3w=17/2-4
3w=34/4-4/4
3w=30/4
30/4 *1/3
30/12
This is not the right answer.....help!!!!!!!!!!!!!!!!!!!
what am i doing wrong here??

Click here to see answer by stanbon(57422)

Question 109324: Two friends are 60 miles apart. They decide to ride their bikes to meet each other. Sally starts from the college and heads east, riding at a rate of 21 mph. At the same time, Teresa starts from the river and heads west, riding at a rate of 15 mph.
a. draw a diagram showing the college and the river 60 miles apart and the two cyclists riding toward each other (I can do that)!
b. How far does each cyclist ride in t hours? (i need help with this one)!
c. When the two cyclists meet, what must be true about the distances they have ridden? Write and solve an equation to find when they meet.(oh boy--i need help here too)!!!

I just am not sure what to do here..I am thinking d=r.t
rate distance time
sally 21 mph 60 miles t
teresa 15mps 60 miles t

60=21t for sally
60=15t for teresa
I am lost now.....I just don't know what to do, even if I was correct so far....
Click here to see answer by stanbon(57422)

Question 109391: This is not in a textbook it's in a Math Student workbook made up by my university.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Jennie drives to her son's house in 5 hours when there is heavy traffic. When there is no traffic, the same trip takes 4 hours. She can drive an average of 12 m.p.h. faster when there is no traffic than when thereis heavy traffic.
What is her average speed when there is no traffic?
What is the distance from her house to her son's house?
Click here to see answer by ankor@dixie-net.com(15667)

Question 109406: You and your friend are each driving 379 miles from LA to San Fran. Your friend leaves first, driving 52 mph. She is 32 miles from LA when you leave, driving 60 mph. How far do each of you drive before you are side by side?
Click here to see answer by stanbon(57422)

Question 109424: . Sheryl left by plane to visit her mother in Hartford, 42 km away. Fifteen minutes later, her mother left to meet her at the airport. She drove the 20 km to the airport at 40 km per hr, arriving just as the plane taxied in. What was the speed of the plane?

Click here to see answer by stanbon(57422)

Question 109606: 3. Kwan hiked up a hill at 4km/h and back down at 6 km/h. his total hiking time was 3 h. how long did the trip up take him.
Click here to see answer by ptaylor(2048)

Question 109825: In 2005, Dan raced his car 500 miles. His rate was 157.603 mph. What was his time (to the nearest thousandth of an hour)?
Click here to see answer by tutorcecilia(2152)

Question 109824: A boat can go 10 miles against the current in the same it can go in 30 miles with the current. The current flows at 4 mph. Find the speed of the boat in no current.
Click here to see answer by ptaylor(2048)

Question 109925: Two missiles are traveling toward each other, one at 9,000 mph, the other at 21,000 mph. They start 1317 miles apart. How far apart are they one minute before they collide?
Click here to see answer by ankor@dixie-net.com(15667)

Question 110045: A Sailer on leave drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate waws 10 miles per hour less, and the trip took 1 hour longer. How far is his home from the park?
I dont know how to set it up or when you know you got your final answer. The book used a chart, but how do you know where to put the info
Click here to see answer by edjones(7569)

Question 110056: Hi please help me im clueless .... thank you soo muchh
First is this you have to do it with a chart
inside wil say ratextime=distance and the equation inside with the variables.
ok here is the problem
It takes plane 40min longer to fly from Boston to Los Angeles at 52 mi/h than it does to return at 600mi/h. how far apart are the cities.?
THE SECOND IS THIS
It took Cindy 2h to bike from Abbott to Benson at a constant speed. The return trip took only 1.5h because she increased her speed by 6km/h. How far apart are Abbott and Benson?
thank you sooo muchh
i appreciate it i have a test on this tomorrow

Click here to see answer by stanbon(57422)

Question 110022: Flying to Maui with a tailwind a plane averaged 158km/h. On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
I don't feel they have given me enough information to solve this problem or am I missing something?
Click here to see answer by ptaylor(2048)

Question 110164: Please help!!!
(4x+4)/5 = (5x-1)/2 - x/3 You must show all work to receive full credit.
Show work here:

Click here to see answer by checkley71(8403)

Question 110160: Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by checkley71(8403)

Question 110229: A day on Jupiter is much shorter than a day on Earth because Jupiter rotates on its axis about 2 2/5 times as fast as Earth rotates on its axis. During our month of June, how many days will Jupiter have?
Click here to see answer by edjones(7569)

Question 110216: Word problems are so confusing....please help.
During rush hour, bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster that his rate on the freeway, find his rate on the side roads.
Thank you.
Click here to see answer by josmiceli(9697)

Question 110215: 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.
I'm confused>>>>>
Please help me.
Click here to see answer by josmiceli(9697)

Question 110158: Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by elima(1433)

Question 110248: Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicylce shop if her total travel was 1 hour?
Click here to see answer by solver91311(16897)

Question 110307: Susie left her home at 11 am traveling along Route 1 at 30 miles per hour. At I pm, her brother Richard left home and started after her on the same road at 45 miles per hour. At what time did Richard catch up to Susie. I know the formula t=d/r but how do you plug in everything since there are more steps. Thank You!
Click here to see answer by solver91311(16897)

Question 110306: Two cars leave a restaurant at the same time and travel in opposite directions. At the end of 3 hours, they are 300 miles apart. Find the rate of the slower car if one car travels at a rate 20 miles per hour faster than the other. I know the equation r=d/t, but how do you plug the info in when there are two parts. Thanks for your help!
Click here to see answer by solver91311(16897)

Question 110388: The Toyota Camry gets 322 miles of city driving on 14 gallons of gasoline. What is the average number of miles expected per gallon-that is, what is it gas mileage.
Click here to see answer by josmiceli(9697)

Question 110384: Ok, so town A and town B are 100 miles apart. Car A is leaving from town A and traveling 60mph, and car B is leaving from town B and traveling 50mph. How long before they collide? I know it has something to do with the D=r*t formula...I'm just not sure how to figure this one out. Thanks!
Click here to see answer by josmiceli(9697)

Question 110465: There is a pole in a lake. One half of the pole is in the ground, another one third of it is covered with water, and 10ft is out of water. What is the total length of the pole in ft?
Click here to see answer by jim_thompson5910(28598)

Question 110491: Nancy can paint a house twice as fast as Terry can. They year they worked together it took them 7 days. How long would it take each to paint the house alone?
Click here to see answer by ptaylor(2048)

Question 110487: The Gold River's current is 6 mph. A boat travels 50 miles downstream in the same time that it takes to travel 30 miles upstream. What is the speed of the boat in still water?
Click here to see answer by ptaylor(2048)

Question 110570: Pablo is driving 40 miles per hour. After he has driven 30 miles, his brother Ricardo starts driving in the same direction. At what rate must Ricardo drive to catch up with Pablo in 5 hours?
Click here to see answer by wgunther(43)

Question 110671: A car travels on the freeway at an average speed of 66 miles per hour. How many miles does it travel in 3 hours and 40 mintues?
Click here to see answer by MathLover1(6648)

Question 52500: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Click here to see answer by mathdude2(1)

Question 110877: The radius of the earth at the equator is approximately 4000 miles. Suppose a jet flies once around the earth at a speed of 500 miles an hour relative to earth. If the flight path is a negligible height above the equator, give the number of hours of flight.
Click here to see answer by ankor@dixie-net.com(15667)

Question 110986: An ultralight plane had been flying for 40 min when a change in wind direction doubled its ground speed. The entire trip of 160 mi took 2 h. How far did the plane travel during the first 40 min?
Click here to see answer by stanbon(57422)

Question 110890: a cargo plane flew to the maintenance facility and back it took one hour less time to get there than it did to get back. the average speed on the trip there was 220mph the average speed on the way back was 200mph how many hours did the trip take
Click here to see answer by ankor@dixie-net.com(15667)

Question 110987: Kelley's boat goes 12mph. Find the rate of the cureent of the river if she can go 6mi upstream in the same amount of time she can go 10mi downstream.
Click here to see answer by ankor@dixie-net.com(15667)

Question 110994: In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 mph, while Car B is traveling at 40 mph. How long will it take for Car A to overtake Car B?
Click here to see answer by stanbon(57422)

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