Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 161991: Please help, thank you.
At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?
Click here to see answer by nerdybill(7384)  |
Question 161980: Please help with this problem. I have tried to look at other similar problems to help guide me, but is not working.
--> A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection. [Fifteen points for the correct algebra equation and five points for solving the equation.
Click here to see answer by vleith(2983) |
Question 161981: Please help.
A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town. [Fifteen points for the correct algebra equation and five points for solving the equation.
Click here to see answer by scott8148(6628)  |
Question 162056: Please help!
A plane carries enough fuel for 10 hours of flight at an airspeed of 150 miles per hour. How far can it fly into a 30 mph headwind and still have enough fuel to return to its starting point? (This distance is called the point of no return.)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 162169: Raleigh, NC is about 120 miles inland from the nearest point on the Atlantic coast; Savannah, Ga is about 300 miles south of that point down the coast. Assuming the coast is a straight line going north-south, C is the point along the coast directly east of Raleigh. It costs 2 cents per mile to transport a ton of shrimp by truck and 1 cent per mile to transport them by ship. The Savannah Shrimp company wants to find the point, P, on the Atlantic Coast to which it should truck its shrimp before loading then aboard to cargo ship in order to minimize the total cost of transporting them from Savannah to Raleigh.
a. Set up the function which the Savannah Shrimp Company must minimize.
b. Find the position of P which minimizes cost.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 162289: A train leaves a station and travels north at 80 km per hour. three hours later a second train leaves on parallel tack and travel in the same direction at 120 km per hour. how far from the station will they meet?
Click here to see answer by jojo14344(1513) |
Question 162019: ROSE DROVE HER CAR FROM HER HOME TO THE PROVINCE AND BACK,A TOTAL DISTANCE OF 120KM.HER AVERAGE SPEED RETURNING WAS 3KPH SLOWER THAN HER AVERAGE SPEED GOING TO THE PROVINCE.IF HER TOTAL DRIVING TIME WAS 9 HOURS ,WHAT WAS HER AVERAGE SPEED IN GOING TO THE PROVINCE?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 162351: Mr. Turner has a motorboat that can travel 14 mph in still water. He wishes to take a trip on a river whose current flows at the rate of 2 mph. If he has 7 hours at his disposal, how many hours should he spend on the first part of his trip going downstream before returning upstream to his starting point?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 162377: please help me solve this word problem:
On the first past of a 317-mile trip, a salesperson averaged 58 miles per hour. he averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. the total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speed.
Click here to see answer by scott8148(6628)  |
Question 162377: please help me solve this word problem:
On the first past of a 317-mile trip, a salesperson averaged 58 miles per hour. he averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. the total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speed.
Click here to see answer by josmiceli(19441)  |
Question 162377: please help me solve this word problem:
On the first past of a 317-mile trip, a salesperson averaged 58 miles per hour. he averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. the total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speed.
Click here to see answer by gonzo(654) |
Question 162608: Gail and Bill drove to a beach at an average speed of 50mph and returned home over the same road at an average speed of 55mph. The trip home took 30 minutes. How far is the beach from their home?
I know that the distance is 27.5 because I know they traveled 55mph in 30minutes. 55/30 = 27.5. I figured this out by the following:
55/60 = d/30 50/60 = 27.5/t
60d = 1650 50t = 1650
d=27.5 miles t = 33 min
but what they are wanting me to do is put the info in a table that represents
rate times time = distance (r)(t) = (d)
such as
r t d
to the beach 50mph
from beach 55mph 30min
Can you help?
Click here to see answer by stanbon(75887) |
Question 162664: During the first part of a trip, a canoeist travels 69 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?
Click here to see answer by josmiceli(19441)  |
Question 162661: WITH THE CURRENT, A SAILBOAT TRAVELS 9 KM IN 3 HRS. HOWEVER IF IT TRAVELS AGAINST THE CURRENT, IT TAKES 3 TIMES TO SAIL THE SAME DISTANCE, HOW FAST IS THE BOAT SAILING ON STILL WATER? HOW FAST DOES THE RIVER FLOW?
Click here to see answer by josmiceli(19441)  |
Question 162799: A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average? (The answer is 10km/hr; what is step by step solution)?
Click here to see answer by checkley77(12844) |
Question 162808: A train left Denver bound for Omaha at speed of 80 miles per hour, and at the same time another train left at Omaha bound for Denver at a speed of 100 miles per hour. When the trains passed each other, what fraction of the trip had the train from Denver completed?
Click here to see answer by checkley77(12844) |
Question 162809: At midnight a train left for Denver bound for Chicago, and another train left Chicago bound for Denver, both traveling at consatent speeds on adjacent tracks. The first train took 12 hours to complete the trip, and the second train took 16 hours to complete the trip. At what time did they passeach other?
Click here to see answer by checkley77(12844) |
Question 162812: Five hundred gallons of water leaked from a reservoirat a constant rate of 8 gallons per day. The leak was partially sealed, and a aditional 300 gallons leaked from the reservoir at a constant speed of 5 gallons per day. What was the overall rate of leakage over this time period?
Click here to see answer by jojo14344(1513) |
Question 163006: Write and solve an equation for each situation:
3. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distnce, how fast does each travel?
7. Marla begins walking at 3 mi/h to the library. Her friend meets her halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many hours did Marla walk?
8. Fred begins walking toward John's house at 3 mi/h. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2 mi/h. How long will it be before they meet if the distance between the houses is 4 miles?
9. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
10. It takes 1 hour longer to fly to St.Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St.Paul?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 163343: Here's my problem:
If you are 'h' feet above the earth's surface, the distance, 'd' that you can see is approximately 'd' (in miles) = the square root of 3h/2.
Suppose you are on the roof of a building 900ft. tall. How far can you see? (Calculate to 2 decimal places.)
Thanks for your help!
Joanne
Click here to see answer by checkley77(12844) |
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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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