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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 29471: Janice is training for a triathlon. She is working on running and cycling. She runs for 45 minutes then bikes for 1.5 hours. If her combined distance running and cycling is 31.5 miles and her cycling is 3 times her speed in running, what is her running speed? (here's how I worked the problem).
45X + 1.5(3) = 31.5
45X + 4.5 = 31.5
4.5 - 4.5 = 31.5 - 4.5
45X = 27
27/45
X=.6 miles per hour
Click here to see answer by AnlytcPhil(958)   |
Question 29478: Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 15 miles with the wind and in the same amount of time runs 4 miles against the wind. What is the rate of the wind?
This is what I have
x= rate of wind
5 + x = running with the wind
5 - x = running against the wind
then I have
15/5+x = distance on a windy day running with the wind
4/5-x = distance on a windy day running against the wind
Am I on the right track? When I solve for x I get a decimal of 1.89 or 1.90
thanks for your help
Click here to see answer by josmiceli(3003) |
Question 29569: The speed of a boat in still water is 16 mph. The boat traveled the same distance downstream in 9 minutes that it traveled upstream in 15 minutes. Find the speed of the current.
Mary
Click here to see answer by Paul(988) |
Question 29610: OK - here's the problem. A motorcycle traveling at 60mph overtakes a car traveling at 40 mph that had a 3 hour head start. How far from the starting point are the 2 vehicles? Thanks for some help.
Click here to see answer by Paul(988) |
Question 29629: A bus leaves a station at 1p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by Paul(988) |
Question 29661: After being shot into the air, the height of a rocket is h=80t-16t^2 where h is the height above the ground, in feet, after t seconds. After how many seconds will the rocket be at a height of 96 feet?
thank you for the help
Click here to see answer by ikdeep(182) |
Question 29632: There are 850 Douglass fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
Click here to see answer by askmemath(368) |
Question 29086: Jenny had driven for 2 hours at a constant speed when road repairs forced her to reduce her speed by 10 mph for the remainig one hour of her 152 miles trip. Find her original speed and her reduced speed. Also find the distance traveled at both speeds
Click here to see answer by Yoan(9) |
Question 29834: Ike and Nancy Lara give western dance lessons at the Elk's Lodge on Sunday nights. The lessons cost $3.00 for members and $5.00 for nonmembers. Half of the money collected for the lessons is paid to Ike and Nancy. The Elk's Lodge keeps the other half. One Sunday night Ike counts 36 people in the dance lesson. What is the least amount of money Ike and Nancy will make?
Click here to see answer by DanielleEstaAqui(4) |
Question 29827: Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by Yoan(9) |
Question 29833: Recently,the Texas Junior College Teachers Association annual conference was held in Austin. At that time a taxi ride in Austin was $1.25 for the first 1/5 of a mile and $0.25 for each additional 1/5 of a mile. The charge for a taxi to wait is $12.00 per hour. If the distance from one of the convention hotels to the airport is 7.5 miles,how much will it cost to take a taxi from that hotel to the airport.
Click here to see answer by DanielleEstaAqui(4) |
Question 29849: Help please :) I really don't want the answer....please just help me w/ the proper steps to solve.
A child in an airport is able to cover meters in minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover meters in minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?
Click here to see answer by venugopalramana(3286)  |
Question 29862: A dump truck is unloading sand which is falling into a conical pile. The volume of a cone is V=1/3 #r^2 h where v is the volume, r is radius and h is height of the cone. Find the height of the cone when diameter of the pile is 12 feet and the volume of the sand is 100feet^3. Round your answer to the nearest tenth.
Lee Ann
Click here to see answer by Nate(3495) |
Question 29831: Jeff and Carla Cole are driving separately from San Luis Obispo,California, to the north shore of Lake Tahoe,a distance of 425 miles. Jeff leaves San Luis Obispo at 11:00 A.M. and averages 55 miles per hour on the drive. Carla leaves later,at 1:00 P.M.,but averages 65 miles per hour. Which person arrives in Lake Tahoe first?
Click here to see answer by Earlsdon(4898) |
Question 29929: A Grain- sotrage warehouse has a totoal of 30bins. Some hold 20 tones of grain each, and rest hold 15tons each. How many of each type of bin and there if the capacity of the warehouse is 510 tons?
Click here to see answer by Paul(988) |
Question 29935: Ben bought a pad of paper, a pencil, an eraser, and a compass for $1.80. The compass cost twice as much as the paper. The eraser cost a third as much as the compass. The pencil cost half as much as the eraser. How much did each item cost?
Click here to see answer by Cintchr(475) |
Question 29935: Ben bought a pad of paper, a pencil, an eraser, and a compass for $1.80. The compass cost twice as much as the paper. The eraser cost a third as much as the compass. The pencil cost half as much as the eraser. How much did each item cost?
Click here to see answer by Paul(988) |
Question 29961: Elvin drove halfway from ashton to dover at 40 mi/h abd the rest of the way at 60 mi/h. What was his average speed for the whole trip? (Hint: let the distance for the whole trip be, say, 100 mi.)
Click here to see answer by jb007mi6(53) |
Question 29964: the country's new asphalt paving machine can surface 1 km of highway in 10 hours. A much older machine can surface 1 km in 18 hours. How long will it take them to surface 21 km of highway if they start at opposite ends and work day and night?
Click here to see answer by Paul(988) |
Question 29964: the country's new asphalt paving machine can surface 1 km of highway in 10 hours. A much older machine can surface 1 km in 18 hours. How long will it take them to surface 21 km of highway if they start at opposite ends and work day and night?
Click here to see answer by Fermat(127)  |
Question 29963: when ace airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 min. Find the speed of the new planes.
Click here to see answer by Paul(988) |
Question 30016: The equation (((h=-16^2-32t+320))), gives the height of a ball, thrown downward from the top of a 320ft building with an initial velocity of 32ft/sec. Find the time it takes for the ball to reach a height 160ft. Heres what I have so far, h=160, 160=16t^2+32t+320,160=0,16t^2+32t-320=0,divide by 16,
leaving t^2+2t-20, using the quadratic formula t=b(+or-)radical sign (-2)^2-4(1)(20)/2=0, 2(+or-)radical sign 4+80/2, so the answer I get is 2+ radical sign,84/2, and 2- radical sign 84/2. My math book says the answer is 2.317seconds, but does not show how to get there. Thanks,
Click here to see answer by Cintchr(475) |
Question 30017: The equation (((h=-16^2-32t+320))), gives the height of a ball, thrown downward from the top of a 320ft building with an initial velocity of 32ft/sec. Find the time it takes for the ball to reach a height 160ft. Heres what I have so far, h=160, 160=16t^2+32t+320,160=0,16t^2+32t-320=0,divide by 16,
leaving t^2+2t-20, using the quadratic formula t=b(+or-)radical sign (-2)^2-4(1)(20)/2=0, 2(+or-)radical sign 4+80/2, so the answer I get is 2+ radical sign,84/2, and 2- radical sign 84/2. My math book says the answer is 2.317seconds, but does not show how to get there. Thanks,
Click here to see answer by Cintchr(475) |
Question 30132: After visiting a client a sales executive traveled 200 miles at x miles/hr and then traveled another 240 miles at a speed 20 miles/hr less than the original speed. Develop an expression (Model) that relates the distance, rate and time (in the simple form Distance = rate * time).
Note: The answer may remain in abstract terms. This is a mathematical model.
Click here to see answer by Paul(988) |
Question 30159: When the ocean and history bike tour reached williamsburg, the tired riders packed their bikes and gear in the van and headed back toward philadelphia. They traveled by interstate highway, and averaged a steady 55 miles per hour for the 310-mile trip home.
Click here to see answer by checkley71(8405) |
Question 30134: A small company involved in a delivery business is in charge of two routes. A driver on route a travels 70 miles and a driver on route B travel 75 miles on a given day. The Driver on route A travels 5 miles an hour slower than the driver on route B. Also the route A takes one half (1/2) hour longer than B. How fast is each driver traveling?
Click here to see answer by checkley71(8405) |
Question 30269: As the final buzzer signaled the end of the basketball game, the Lions wer 34 points ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the Tigers, then what was the final score?
Click here to see answer by Paul(988) |
Question 30286: Can you please answer for me: A golf ball is hit into the air with an initial velocity of 65 meters per second. In how many seconds will the golf ball hit the ground?
PLEASE HELP ME!!! THANK YOU
Click here to see answer by Paul(988) |
Question 30292: Please answer this question for me: A missle is fired with an initial velocity of 1600 feet per second. When will it be 40,000 feet above the starting point?
The answer I got was: 25 seconds because I did 40000
------ = 25
I think its wrong though 1600
Click here to see answer by venugopalramana(3286) |
Question 30366: I'm having a difficult time setting this one up even know its a DxR=T!
A coast guard boat that patrols a river separating two counties cruises at 20 knots in still water. The river flows at 4 knots. For each patrol the captain of the boat is ordered to travel upstream and then return. His trip takes exactly 6 hours. How far upstream does the boat travel?
Thank God for you all!
Click here to see answer by Paul(988) |
Question 30388: Will and Grace leave from the same point at the same time. Will is bicycling west at a rate of 2mph faster than Grace. Grace who is traveling south. After 1 hour they are 10 miles apart. How fast was each person traveling?
Click here to see answer by Paul(988) |
Question 30388: Will and Grace leave from the same point at the same time. Will is bicycling west at a rate of 2mph faster than Grace. Grace who is traveling south. After 1 hour they are 10 miles apart. How fast was each person traveling?
Click here to see answer by checkley71(8405) |
Question 30443: The distance by highway(for car travel) between Richmond and Waterbury is 70 km, and the distance by rail(for train travel) is 60 km. A car and a train leave Richmond at the same time adn arrive in Waterbury at the same time, the car having traveled 15 km/hr faster then the train. Find the speed of the car and the speed of the train. Find the time it took for the car to reach Waterbury.
Click here to see answer by Paul(988) |
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