Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 557429: Harry takes 2 hours less to travel 50km than Cara takes to travel 35km. Cara travels at a speed that is 5km/hr slower that that of Harry. Find the time taken by Harry and Cara to complete their respective journeys and the speed at which they travelled.
Click here to see answer by rajagopalan(158)  |
Question 557673: Pete and his family take a trip out into the country by car. On the way out he travels at 40 MPH . When they hit snow he turned around and started back traveling at 30 MPH. If the entire trip took 7 hours, how far out into the country did they go?
I tried 40x + 30x = 7(60)
But that is not the correct answer.
if you could help me that would be great
Click here to see answer by josmiceli(9697)  |
Question 557584: a man commutes to work a distance of 30 miles and teturns on the same route at the end of the day. His average rate on the return trip is 15 miles per hour faster than his average rate on the outgoing trip. write the total time, T, in hours, devoted to his outgoing an return trips as a function of his rate on the outgoing trip, x. The find a interpret T(25). I already have 30/x + 30/x+15
I am having a problem with the interpret
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 557423: The first two sections of a bicycle race are x and y meters long. Annie cycles the first part of the race at 6m/s and the second part at 12m/s. Barry cycles the same sections at 10m/s and 6m/s. It takes Annie half a minute to cycle these two sections, whereas it takes Barry 46 seconds to cover the same distance.
How long are these two sections of the race?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 557992: Can you please show me the steps to do this problem?
A freight train traveled to the repair yards 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 54 mph. The average speed on the way back was 45 mph. How many hours did the trip there take?
Click here to see answer by josmiceli(9697)  |
Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.
O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:
D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
Average Speed = S
D1/5 + D2/9 = S
D1/5 = D2/9+144 ( I tried substituting this in )
D2/9+144 + D2/9 = S ( then I combined the like terms )
D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.
Please help me someone I am so bad at word problems and I would love to be confident at them.
P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.
Click here to see answer by Theo(3464)  |
Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.
O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:
D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
Average Speed = S
D1/5 + D2/9 = S
D1/5 = D2/9+144 ( I tried substituting this in )
D2/9+144 + D2/9 = S ( then I combined the like terms )
D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.
Please help me someone I am so bad at word problems and I would love to be confident at them.
P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.
Click here to see answer by KMST(1874)  |
Question 558230: The fan cost index tracks the average costs for attending sporting events, including tickets, drinks, food, parking, programs, and souvenirs. According to the FCI, a family of four would spend a total of $592.30 to attend two Major League Baseball (MLB) games and one National Basketball Association (NBA) game. The family would spend $691.31 to attend one MLB and two NBA games. Write and Solve a system of equations to find the family's costs for each kind of games according to the FCI.
Click here to see answer by stanbon(57387) |
Question 558246: Thisis my final problem of the night. hope this problem is beneficial as the others problems given,
This is it: Two truckers leave from the same point driving in opposite directions the first trucker driving at 59 mph and the second at 56mph. The first trucker has a one hour head start. How long will they be able to talk on their car phone if the phone has a 290 mile range.
Click here to see answer by mananth(12270)  |
Question 558407: A train leaves Kansas City for Dallas and it travels at an average speed of 60 miles/hour. Another train leaves in the opposite direction and travels at an average speed of 80 miles/hour. At what point [with respect to either of the stations] would they meet?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 558577: Hello:
please help me solved these word problems that i had to do for a math class. I have at least five to solve. In all I have completed 10 of the 18 problems given, anyway this is one of them: Two hikers Alan and Ben are 22.8 miles apart and walking toward each other. They meet in 6 hours. Find the rate of each hiker if Ben walks 0.8 faster than Alan What is Alan and Ben rate of speed.
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 558710: Please help me solve this word problem Eduardo left the hardware store and traveled toward the ferry office. Two hours later Kim left traveling at 70 km/h in an effort to catch up to Eduardo. After traveling for three hours Kim finally caught up. Find Eduardo's average speed.
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 558783: A plane travelled 1320 miles to Houston and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. It took 15 hours. What is the speed of the plane in still air? What is the speed of the wind?
Click here to see answer by mananth(12270)  |
Question 558783: A plane travelled 1320 miles to Houston and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. It took 15 hours. What is the speed of the plane in still air? What is the speed of the wind?
Click here to see answer by stanbon(57387) |
Question 558836: Wayne left track practice at 4:52. It took him 6 min. to get home and 2/5 hr. to eat a snack. Before starting his math team homework, he glanced at his watch and, of course, calculated the measure of the smallest angle formed by the hour and minute hands. What was the measure?
Please explain.
Click here to see answer by mananth(12270)  |
Question 559030: vehicle A must come within 300 feet of following vehicle B both traveling in same direction. Vehicle A is already traveling at 70 MPH when it crosses an imaginary start line. Vehicle B begins chase from a dead stop from same start line. Vehicle A must progrssively accelerate faster than 70 MPH in order to come within 300 feet for a visual identification.
please calculate the time in seconds it will take Vehicle A to come within 300 feet at 100MPH. Can you also show the formula so I can modify for differnt speeds?
Thank you
Click here to see answer by Alan3354(30993)  |
Question 559108: Wendy took a trip from city A to city B, a distance of 820 mi. She traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. The bus averaged 40 mi/h, and the train averaged 90 mi/h. The entire trip took 10.5 h. How long did Wendy spend on the train?
Click here to see answer by stanbon(57387) |
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