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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 195768: respected sir,
1] A hare sees a dog 100 metres away from her,& scuds off in the opposite direction at a speed of 12 km an hour.A minute later the dog perceives her & gives chase at a speed of 16 km per hour.How soon will the dog overtake the hare ,& at what distance from the spot whence the hare took flight ?
2] A carriage driving in a fog passed a man who was walking at the rate of 3 km an hour in the same direction.He could see the carriage for 4 min.& it was visible to him upto a distance of 100 m. what was the speed of the carriage ?
plz explain me this sums...waiting for yurs reply.
thank u.
Click here to see answer by josmiceli(3003)   |
Question 196294: Two trains leave the station at the same time going in the same direction on parallel tracks. The freight train is going 42 mph and the other, a passenger train, is going 54mph. After how long will the trains be 324 miles apart?
Click here to see answer by checkley77(7035) |
Question 196209: Cabrina and Dabney are attending a conference. After the conference, Cabrina drives home to Boise at an average speed of 75 mph and Dabney drives home to Portland at an average speed of 60 mph. If the sum of their driving time is 11.3 hours and the sum of distance driven is 783 miles, determine the time each woman spent driving home.
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 196584: A passenger train leaves a train station four hours after a freight train leaves the same station. The freight train is traveling ten mph slower than the passenger train. Find the rate of the passenger train if the passenger train overtakes the freight train in 20hours.
Click here to see answer by Alan3354(6059)  |
Question 196697: I have been having major trouble figuring the formula for area. Thank you for your help. Area of a painting. A rectangular painting with a width of
x centimeters has an area of x2 50x square centimeters.
Find a binomial that represents the length.
Click here to see answer by Alan3354(6059) |
Question 196839: Word problems are my toughest challenge. For example;
Draining the vat. With only the small valve open, all of
the liquid can be drained from a large vat in 4 hours. With
only the large valve open, all of the liquid can be drained
from the same vat in 2 hours. How long would it take to
drain the vat with both valves open? How do I figure out the time it takes to drain the vat? Thank you.
Click here to see answer by stanbon(26252) |
Question 197236: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 miles per hour and train B is traveling at 120 miles per hour. Train A passes a station at 2.20 A.M. If train B oases the same station at 2:35 A.M., at what time will train B catch up to train A?
I honestly don't know where to begin solving this.
Click here to see answer by stanbon(26252) |
Question 197329: After leaving Moose Jaw, Hanson drove
200 kilometers at x km/hr and then decreased his speed by
20 km/hr and drove 240 additional kilometers. Write a rational expression for
his total traveling time. Evaluate the expression for x = 100.
Click here to see answer by stanbon(26252) |
Question 196885: We know how to find the time a falling object reaches the ground. We can use a similar technique to find the distance an object will travel, if it is launched, like a cannonball by a cannon (we assume no air friction). Let our cannon sit at x=0. Suppose it shoots a ball with an initial vertical velocity of v1, and horizontal velocity of v2. Physics will tell us that its trajectory will be given by the following argument: Vertical motion: y(t) = v1t -1/2gt^2 (we again assume y=0 is the ground). Horizontal motion: x(t) = v2t. Now we can eliminate t rrom these two equations, obtaining a relation between y and x (just solve for t in the second, and substitute t in the first with your expression from the second). The resulting function, y(x), tells us at what height the cannonball is, when it has traveled a distance x. Hence, the ball is on the ground when y(x) = 0. The equation will have two solutions in x: One will correspond to the starting position, when the ball was initially, and the other to the position at which it will land again. Solve the equation for the following values: g = 9.8 m/s^2. v1 = 10 m/s. v2 = 5 m/s.
Click here to see answer by solver91311(5072)  |
Question 197693: Sailboat speed. The sail area-displacement ratio S provides
a measure of the sail power available to drive a
boat. For a boat with a displacement of d pounds and a
sail area of A square feet S is determined by the formula
S = 16Ad 2/3.
a) Find S to the nearest tenth for the Tartan 4100, which
has a sail area of 810 square feet and a displacement of
23,245 pounds.
b) Write d in terms of A and S.
Click here to see answer by ankor@dixie-net.com(6691) |
Question 197786: This word problem is from a handout. I am a math tutor, but am so terrible at solving word problems. Can you give me any helpful advice or direction on how to get better at these???
Here is one from a student's handout sheet. I hope that I got it right, but not at all sure:
A PASSENGER PLANE FLEW TO MOSCON AND BACK. IT TOOK THREE HOURS LONGER TO GO THERE THAN IT DID TO COME BACK. THE AVERAGE SPEED ON THE TRIP THERE WAS 196 kn/h. THE AVERAGE SPEED ON THE WAY BACK WAS 280 km/h. HOW MANY HOURS DID THE TRIP THERE TAKE?
I solved it as follows:
196x = 280(x-3)
x = 10
trip to = 10 hours
trip back = 7 hours
total trip took 17 hours??????
Thank you in advance for your help.
Click here to see answer by nerdybill(2446)  |
Question 197791: This is another problem from a handout. Please let me know if I got it right???
A DIESEL TRAIN LEFT THE STATION TEN HOURS BEFORE A FREIGHT TRAIN. THE TRAINS TRAVELED IN OPPOSITE DIRECTIONS. THE FREIGHT TRAIN TRAVELED AT 20 mph FOR ONE HOUR. AFTER THIS TIME THE TRAINS WERE 680 MILES APART. FIND THE DIESEL TRAIN'S SPEED.
I got 22mph for the diesel.
20x + 20(x-10) = 680
Thank you in advance for your help.
Click here to see answer by edjones(3291)  |
Question 197791: This is another problem from a handout. Please let me know if I got it right???
A DIESEL TRAIN LEFT THE STATION TEN HOURS BEFORE A FREIGHT TRAIN. THE TRAINS TRAVELED IN OPPOSITE DIRECTIONS. THE FREIGHT TRAIN TRAVELED AT 20 mph FOR ONE HOUR. AFTER THIS TIME THE TRAINS WERE 680 MILES APART. FIND THE DIESEL TRAIN'S SPEED.
I got 22mph for the diesel.
20x + 20(x-10) = 680
Thank you in advance for your help.
Click here to see answer by ptaylor(1578)  |
Question 197838: 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 fo the current?
I am not even sure where to start here... I'm freaking out!
Click here to see answer by solver91311(5072) |
Question 197812: 109. Diving time. The time t (in seconds) that it takes for a cliff diver to reach the water is determined by the height h (in feet) from which he dives:
t=~((h)/(16))
a) Use the properties of radicals to simplify this formula.
b) Find the exact time (according to the formula) that it takes a diver to hit the water when diving from a height of 40 feet.
c) Use the graph to estimate the height if a diver takes 2.5 seconds to reach the water.
I need the following problem solved/using ex:109
110. Sky diving. The formula in Exercise 109 accounts for the effect of gravity only on a falling object. According to that formula, how long would it take a sky diver to reach the earth when jumping from 17,000 feet? (A skydiver can actually get about twice as much falling time by spreading out and using the air to slow the fall.)
Click here to see answer by ankor@dixie-net.com(6691) |
Question 197836: Filling a tank.
A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the draing is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by stanbon(26252) |
Question 197875: Leaving from her house, Mary leaves Pittsburgh in her car traveling towards Cleveland at 3PM. She travels at an average rate of 30 mi an hour. Mary's brother Jack leaves the house an hour later and follows the same route as Mary. He travels at an average rate of 60 mi. hr. How long will it take to catch up to Mary?
Click here to see answer by stanbon(26252) |
Question 197923: There are 220 barrels of cement in one shed and 510 barrels in another. How many barrels must be transferred from the second to the first shed will contain two thirds as much as the second? I need help setting up the equation...plez. thank you
Click here to see answer by nerdybill(2446) |
Question 197923: There are 220 barrels of cement in one shed and 510 barrels in another. How many barrels must be transferred from the second to the first shed will contain two thirds as much as the second? I need help setting up the equation...plez. thank you
Click here to see answer by josmiceli(3003) |
Question 198139: This is a problem from the Jubilee Academy's online homeschooling website, which I am enrolled in.
A freight train leaves a station traveling a constant speed of 30 miles per hour (mph). A passenger train leaves at the same time and travels in the same direction at a constant speed of 35 mph. In how many hours will the trains be 15 miles apart?
I would be able to do this problem easily if i knew how to set up the equation, which is for me the hardest part, but there were no similar solvers in the travel and distance section. Thank you.
Click here to see answer by RAY100(1637) |
Question 198257: respected sir,
1] A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10 th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30 th of a minute. What is B’s speed in m/s?
plz solve my doubt..
thank u.
Click here to see answer by josmiceli(3003) |
Question 198203: On Jerry's way to work in the morning, he was only able to travel at a reate of 20 mi/h because of trafficw. On his drive home, he averaged 40 mi/h. If his toral travel time was 1.5 hours, how long did it take him to drive to work?
Click here to see answer by arallie(162) |
Question 198269: CAR X PASSES CAR Y AT 72 MPH. CAR Y WAS AT A STANDSTILL. IT TAKES CAR Y 2 MILES CATCH CAR X. IF CAR X NEITHER ACCELERATE NOR DECELERATE, HOW FAST DOES CAR Y HAS TO GO TO CATCH UP WITH CAR X?
(CAN YOU PLEASE PROVIDE FROMULA)
Click here to see answer by Alan3354(6059) |
Question 198427: Tiger Woods hits a golf ball into the air. The equation that describs the path of the ball is h=55t-5t^2. There are three questions. (A How high is it the ball after 2 seconds?) (B When will it first reach 140 meters?) (C When will it hit the ground?)
Click here to see answer by nerdybill(2446) |
Question 198441: two men starting at a point on a 1-mile circular race track walk in opposite directions and meet in 6minutes. but if they walk in the same direction, the faster walker gains one lap in 30 minutes. find the speed of each man in miles per hour.
Click here to see answer by edjones(3291) |
Question 198611: two trucks left the same rest stop at the same time traveling in opposite directions. Truck A was traveling at a speed of 40 mph. Truck B was traveling at a speed of 75 mph. How many hours would it take for the two trucks to be 460 miles apart?
Click here to see answer by arallie(162) |
Question 198613: tony sewart left the california speedyway in in fontana heading to pheonix international raceway traveling at a speed of 60mph. two hours later, dale jr. left from the same point, driving the same route, at a speed of 75 mph. how long did it take for dale jr. to catch up with tony?
Click here to see answer by arallie(162) |
Question 198643: A cruise boat travels 72 miles down stream in two hours and returns upstream in 6 hours. Find the rate of the stream.
D=RT so R=D/T 72/2=36 72/6=12 36-12=24 (speed of boat on still water?)
I get lost here.
Click here to see answer by stanbon(26252) |
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