# Questions on Word Problems: Travel and Distance answered by real tutors!

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 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 Question 250844: A car leaves the Kansas City at noon traveling west at 45 miles per hour. A second car leaves from the same location 3 hours later traveling west at 60 miles per hour. At what time will the second car catch up with the first? Click here to see answer by drk(1908)

 Question 252514: What average acceleration does it take to stop a car traveling at 60 kph in 8 seconds Click here to see answer by richwmiller(9132)

 Question 252538: A train traveling between 2 towns arrives 9 minutes late when traveling at 36 mph. When it travels at 27 mph the train arrives 39 minutes late. How many miles are there between the two towns? Click here to see answer by stanbon(57205)

 Question 252567: the distance between two cities is southwest ten miles. to drive, you must travel 8 miles east. how many miles north will you have to drive? Click here to see answer by ankor@dixie-net.com(15622)

 Question 252566: the distance between two cities is southwest ten miles. to dive, you must travel 8 miles east. how many miles north will you have to drive? Click here to see answer by drk(1908)

 Question 252581: A backpacker hiking into the wilderness area walked 9 miles at a constant rate and then reduced this rate by 1 mph. Another 4 miles was hiked at this reduced rate. The time required to hike the 4 miles was 1 hour less than the time required to walk the 9 miles. Find the rate at which the hiker walked the first 9 miles. Click here to see answer by stanbon(57205)
 Question 252581: A backpacker hiking into the wilderness area walked 9 miles at a constant rate and then reduced this rate by 1 mph. Another 4 miles was hiked at this reduced rate. The time required to hike the 4 miles was 1 hour less than the time required to walk the 9 miles. Find the rate at which the hiker walked the first 9 miles. Click here to see answer by drk(1908)
 Question 252581: A backpacker hiking into the wilderness area walked 9 miles at a constant rate and then reduced this rate by 1 mph. Another 4 miles was hiked at this reduced rate. The time required to hike the 4 miles was 1 hour less than the time required to walk the 9 miles. Find the rate at which the hiker walked the first 9 miles. Click here to see answer by JimboP1977(308)

 Question 252594: An airplane travels 260 miles per hour into a 50 mile per hour head wind. On the return trip the wind has slowed to 25 miles per hour and the plane averages 335 miles per hour. How fast would the plane have gone with no wind on either leg? Click here to see answer by checkley77(12569)
 Question 252594: An airplane travels 260 miles per hour into a 50 mile per hour head wind. On the return trip the wind has slowed to 25 miles per hour and the plane averages 335 miles per hour. How fast would the plane have gone with no wind on either leg? Click here to see answer by ankor@dixie-net.com(15622)

 Question 250779: Two trains, 45 km away from each other, running on parallel railroad tracks, approach each other traveling at constant speed of 12 m/s and 18 m/s respectively. How long will it take before the trains meet? Click here to see answer by drk(1908)

 Question 252618: two boats left the North harbor at 4:30 Pm. One traveled east at a rate of 45kph,and the other west at 35 kph. How long will it take the boats to be 300 kilometers apart? Click here to see answer by palanisamy(496)

 Question 250795: How far does a boat travel in 3 hours at 65 miles per hour? Click here to see answer by Alan3354(30935)

 Question 252682: It took a total of 10 hours to hike from the base of a mountain to the top and back by the same route. Going up speed was 2 miles per hour. Going down speed was 3 miles per hour. How far from base to top? A) 6 B) 10 C) 12 D) 14 E) 24 Click here to see answer by palanisamy(496)

 Question 252685: a metal block has mass 200g and volume 40cm3(cubed). calculate its density. Click here to see answer by Alan3354(30935)

 Question 252684: a speed boat travels 200km in 2hours 30 minutes.calculate its average speed in kilometers per hour Click here to see answer by Alan3354(30935)

 Question 252690: 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 distance, how fast does each travel? Click here to see answer by stanbon(57205)
 Question 252690: 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 distance, how fast does each travel? Click here to see answer by richwmiller(9132)

 Question 250688: A bird can fly 35 mph in still air, 30 mph with the wind and 5 mph against the wind. What speed is the wind? Click here to see answer by drk(1908)
 Question 250688: A bird can fly 35 mph in still air, 30 mph with the wind and 5 mph against the wind. What speed is the wind? Click here to see answer by richwmiller(9132)

 Question 252746: Over a 2 mile course, a car travels 15 mph over the first mile. What speed does the car need to travel over the 2nd mile to average 30 mph over the whole course Click here to see answer by Alan3354(30935)

 Question 252758: The distance between two cities is one hundred miles, and a woman drives from one city to the other at a rate of fifty mph. At what rate must she return if the total travel time is three hours and forty minutes? Click here to see answer by richwmiller(9132)

 Question 252773: A speed boat travelling 60kph left the port 5 minutes after a fishing boat sailed. If it overtakes the fishing boat after 2 hours, find the rate of the fishing boat. Click here to see answer by richwmiller(9132)

 Question 252822: Flying east between two cities, a plane's speed is 380 mph. On the return trip it flies at 420 mph. Find the average speed over the whole round trip. (NO, the answer is not 400 mph.) Click here to see answer by Alan3354(30935)
 Question 252822: Flying east between two cities, a plane's speed is 380 mph. On the return trip it flies at 420 mph. Find the average speed over the whole round trip. (NO, the answer is not 400 mph.) Click here to see answer by richwmiller(9132)

 Question 252831: The height h (in feet) of a rocket as a function of the time t (in seconds) of flight is given by the following equation. Determine the times t when the rocket is on the ground. h=50+280t-16t^2 I have set up an equation but don't know if this is right. Also, I'm not understanding what they are asking or how to solve this. Please help me. Thank you. Click here to see answer by Alan3354(30935)

 Question 252840: A jet takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of the wind? Click here to see answer by richwmiller(9132)

 Question 252842: A missile is fired vertically into the air. The distance s (in feet) above the ground as a function of time t (in seconds) is given by the equation below. (a) When will the missile hit the ground? (b) When will the missile be 1000 feet above the ground? h=300+500t-16t^2 I have tried several attempts at this one and nothing! Anyone willing to help, I would really appreciate it. Click here to see answer by stanbon(57205)
 Question 252842: A missile is fired vertically into the air. The distance s (in feet) above the ground as a function of time t (in seconds) is given by the equation below. (a) When will the missile hit the ground? (b) When will the missile be 1000 feet above the ground? h=300+500t-16t^2 I have tried several attempts at this one and nothing! Anyone willing to help, I would really appreciate it. Click here to see answer by nerdybill(6948)

 Question 252848: An air traffic control towel at an airport located in flat dessert terrain, the controller can see to the horizon. The distance d in miles that he can see from a height above ground level h (in feet) is given by the following equation. How high must the controller be to see 20 miles to the horizon? Round to the nearest foot. D=(the sq root of 1.5h I am not getting this problem. Would someone please help me? Click here to see answer by stanbon(57205)
 Question 252848: An air traffic control towel at an airport located in flat dessert terrain, the controller can see to the horizon. The distance d in miles that he can see from a height above ground level h (in feet) is given by the following equation. How high must the controller be to see 20 miles to the horizon? Round to the nearest foot. D=(the sq root of 1.5h I am not getting this problem. Would someone please help me? Click here to see answer by richwmiller(9132)

 Question 252847: A plane takes off 200 miles east of its destination with a 50 mph wind from the south. If the plane’s velocity is 250 mph and its heading is always toward its destination, its path can be described by the equation below. If the location of the initial airport is (0,0) and the location of the destination airport is (200, 0), y represents the perpendicular distance from the straight line path between initial location and the destination location. When x = 150 miles, how far from the straight line path is the plane? That is, what is y? I have tried this one about 5 times and I keep coming up with nothing. Please help! Click here to see answer by stanbon(57205)

 Question 252843: A military jet flies directly over and at right angles to the straight-line course of a commercial jet. The military jet is flying 200 mph faster than four times the commercial jet. How fast is each going if they are 2050 miles apart (on a direct line) after 1 hour? Please Help! I have to show my work and I keep getting lost. Click here to see answer by richwmiller(9132)

 Question 252893: a wheelchair marathoner completes a full marathon in 1 hr. 18 min 43 sec. what is his average rate of speed? Click here to see answer by Alan3354(30935)
 Question 252893: a wheelchair marathoner completes a full marathon in 1 hr. 18 min 43 sec. what is his average rate of speed? Click here to see answer by richwmiller(9132)

 Question 250533: While hovering near the top of a waterfall in a national park at 6400 feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)=-16t^2+6400. When will the sunglasses hit the ground? The sunglasses will hit the ground after __ seconds. Click here to see answer by dabanfield(803)

 Question 252959: A hiker can walk at an average speed of 2 mph uphill and 6 mph downhill. Suppose he takes a hike on a mountain road which goes only uphill or downhill. What will be his average speed for such a trip, assuming he finishes at the level he started? Click here to see answer by drk(1908)

 Question 252961: You have two clocks. One doesn't run at all. The other loses an hour a day. Which clock will most often show the correct time. How often will each show the correct time? Click here to see answer by drk(1908)

 Question 252965: A trackwalker was walking through a tunnel when he heard the train was coming. Looking at the markers inside the tunnel, he realized that he was 2/5 of the distance from one end of the tunnel, and 3/5 of the distance from the other end. If he runs as fast as he can toward either end, he will escape from the tunnel. If the train is moving at 60 mph, how fast can the trackwalker run? Click here to see answer by richwmiller(9132)

 Question 252985: If the average speed of a car is increased from 50 to 60 kph, the time needed to cover a certain distance is reduced by 30 mins. What is the distance involved? Click here to see answer by Greenfinch(383)
 Question 252985: If the average speed of a car is increased from 50 to 60 kph, the time needed to cover a certain distance is reduced by 30 mins. What is the distance involved? Click here to see answer by richwmiller(9132)

 Question 252992: A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway? Click here to see answer by ptaylor(2048)
 Question 252992: A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway? Click here to see answer by Alan3354(30935)

 Question 253024: A cow is tied up to the long side of a barn 10 feet away from the corner. The rope being tied to the barn is 21 feet long. the barn is 11 feet wide and 28 feet long. what is the total area of the space in which the cow may graze. hello. please if you answer this explain it because i think ill be having to do these questions alot. thank you Click here to see answer by Alan3354(30935)
 Question 253024: A cow is tied up to the long side of a barn 10 feet away from the corner. The rope being tied to the barn is 21 feet long. the barn is 11 feet wide and 28 feet long. what is the total area of the space in which the cow may graze. hello. please if you answer this explain it because i think ill be having to do these questions alot. thank you Click here to see answer by ankor@dixie-net.com(15622)

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