Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 400837: Two cyclists, 60 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
Click here to see answer by rfer(16322) |
Question 400966: Homework problem- this has to be solved using systems of equations, not a graph. I have to show all work, so I'll definitely need the equations used:
HIS taxi company charges 1 dollar per mile, with a $3 service fee. HERS taxi company charges 75 cents per mile, with a $5 service fee. At what distances do the two taxi companies charge the same amount?
Thanks!!
Click here to see answer by stanbon(75887) |
Question 401024: The Natchez Trace Parkway is a historical 444-mile route from Natchez, Mississippi, to Nashville, Tennessee. A couple drove the Trace in four days. Each day they drove 6 miles more than the previous day. How many miles did they drive each day?
Click here to see answer by josmiceli(19441)  |
Question 401154: A driver travels 10 miles to work at a constant speed and travels the same distance home at a constant speed. His speed on the return trip was fifteen miles per hour faster, and the total time for both trips was one hour. Find his speed on the way to work.
Click here to see answer by stanbon(75887) |
Question 401206: A dog was walking along a train track one day, and traveled along that track onto a train bridge. when the dog was 1/4 of the way across the bridge, he heard a train whistle from an oncoming train that was coming in the same direction the dog has already come. the dog bounded away from the train and made it to the end of the bridge at exactly the same time as the train. what the dog didnt know, but what was also true, was that the dog could have bounded toward the train and made it to the "start" of the bridge at exactly the same time as the train. the train was traveling at a speed of 30 miles/hour. how fast was the dog traveling
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 401310: Im having trouble with some word problems i have many for my homework i understand the easy work ones but i thought i put 3 differnt kinds up so that i can finish the rest of my homework by examples of these ones.Can you please help me?
1)A jogger ran 8 miles and then walked 6miles. The jogger's running speed was 5 miles per hour faster then her walking speed. Th total time for jogging and walking was 2 hrs find the joggers walking speed and jogging speed.
i made a table
D R T
run 8mi x+5
walk 6mi x
total 2hrs
i came up the equation 8 6
___ + ____ =2
x+5 x
2)Another one i cant figure out is A car travels for 100miles at a uniform speed. If the speed is increased by 5 miles per hour, the trip would take one hour less time. What is the car's original speed?
Im not sure how to get this one except i know to divide distance by time and the distance is 100 and the time is x-1 and the rate is x+5 i think i dont know how to set this up.
3) Working together amy and bob can complete a job in 12 hours. Working alone it takes amy 4/3 as much time as bob to do the job how long will it take each to do the job working alone?
For this i have a table and some work done but i think its the 4/3 is throwing me off
time hrs job
amy 4/3x 1 divided by 4/3x
bob x i divided by x
total 1 divided by 12
i divided both sides by 12x(4/3x)
and got 12x+12(4/3x) = x(4/3x)
12x+16x=4/3x^2
28x=4/3x^2
4/3x^2-28x=0
now im stuck
IF someone could please help me that would be wonderfull and i thank you soo much
Click here to see answer by stanbon(75887) |
Question 401310: Im having trouble with some word problems i have many for my homework i understand the easy work ones but i thought i put 3 differnt kinds up so that i can finish the rest of my homework by examples of these ones.Can you please help me?
1)A jogger ran 8 miles and then walked 6miles. The jogger's running speed was 5 miles per hour faster then her walking speed. Th total time for jogging and walking was 2 hrs find the joggers walking speed and jogging speed.
i made a table
D R T
run 8mi x+5
walk 6mi x
total 2hrs
i came up the equation 8 6
___ + ____ =2
x+5 x
2)Another one i cant figure out is A car travels for 100miles at a uniform speed. If the speed is increased by 5 miles per hour, the trip would take one hour less time. What is the car's original speed?
Im not sure how to get this one except i know to divide distance by time and the distance is 100 and the time is x-1 and the rate is x+5 i think i dont know how to set this up.
3) Working together amy and bob can complete a job in 12 hours. Working alone it takes amy 4/3 as much time as bob to do the job how long will it take each to do the job working alone?
For this i have a table and some work done but i think its the 4/3 is throwing me off
time hrs job
amy 4/3x 1 divided by 4/3x
bob x i divided by x
total 1 divided by 12
i divided both sides by 12x(4/3x)
and got 12x+12(4/3x) = x(4/3x)
12x+16x=4/3x^2
28x=4/3x^2
4/3x^2-28x=0
now im stuck
IF someone could please help me that would be wonderfull and i thank you soo much
Click here to see answer by lwsshak3(11628) |
Question 401317: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 20 miles per hour slower than the eastbound train. If the two trains are 340 miles apart after 2 hours, what is the rate of the westbound train?
Click here to see answer by lwsshak3(11628) |
Question 401626: a truck enters a hightway driving 60 mph. a car enters at the same place 10 min later and drives in the same direction going 72 mph. from the time the car enters the highway, how long iwll it take the car to pas the truck?
Click here to see answer by rfer(16322) |
Question 401805: A Cessna 175 can average 130 mph. If a trip takes 2 hours one way and the return takes 1 hour and 15 minutes, find the wind speed, assuming it is constant.
This is an algebra equation. I don't even know where to begin. But I know that the wind speed would be x. I'm not quite sure if I need to add or subtract the two time differences. Thank you so much for helping me.
Melissa
Click here to see answer by rfer(16322) |
Question 402028: One runner passes another runner traveling in the same direction on a hiking trail. The faster runner is jogging 2 miles per hour faster than the lower runner.Determine how long it will be before the faster runner is 3/4 mile ahead of the slower runner.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 402040: Investors sometimes use the rule of 72 to determine the time required to double an investment. If 72 is divided by the annual earned on an investment, the result approximates the number of years needed to double the investment. For example, an investment earning 6% annual interest will double in value approximately every 72/6 = 12 years.
(a) Approximate the number of years required to double an investment earning 9% annual interest.
(b) If an investment of $10,000 earns 12% annual interest, approximate the value of the investment after 18 years.
Click here to see answer by rfer(16322) |
Question 402085: train a and train b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 70 miles per hour. train a passes a station at 6:15 a.m. if train b passes the same station at 6:45 a.m, at what time will train b catch up to train a
Click here to see answer by mananth(16949)  |
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