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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 193446: two cars start from the same point at the same time. One travels north at 25mph and the other travels east at 60mph. How fast is the distance between them increasing at the end of 1 hour?
Click here to see answer by Alan3354(30993)

Question 193677: what must be added to 3x-2y+5 to get 8x+y-3z+4?
Click here to see answer by Mathtut(3670)

Question 193747: erin drove home at an average speed of 45 mph. she returned home in the evening along the same route and average 30 mph. if erin spent a total of 1 hour commuting to and from work, how many miles did erin drive to work in the morning?
Click here to see answer by stanbon(57412)

Question 193698: A canoeist paddled upstream at 10 meters per minute, turned around, and drifted downstream at 15 meters per minute. If the distance traveled in each direction was the same, and the time spent turning the canoe around was negligible, what was the canoeist's average speed over the course of the journey, in meters per minute? anyone?
Click here to see answer by stanbon(57412)

Question 193795: The diameter of the Milky Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Click here to see answer by Mathtut(3670)

Question 193796: The diameter of the Milky Way disc is approximately 9 x 10^20 meters. How long does it take light, traveling at 10^16 m/year to travel across the diameter of the Milky Way?
Click here to see answer by Mathtut(3670)

Question 193806: A pair of cuff links was marked up $225 from cost, which amounts to a 50% increase. Find the original cost of the pair of cuff links
Click here to see answer by nerdybill(6963)

Question 193801: The profit on a watch is given by P = x^2 – 5x – 9 and where x is the number of watches sold per day. How many watches were sold on a day when there was a $15 loss?
Click here to see answer by nerdybill(6963)

Question 193799: A jet flew from Tokyo to Bangkok, a distance of 4800km. On the return trip, the speed was decreased by 200km/h. If the difference in the times of the flights was 2 hours, what was the jet's speed from Bangkok to Tokyo? (13 marks)
Click here to see answer by stanbon(57412)

Question 193841: Train A leaves the station traveling east at 45 mph. Three hours later train B leaves the same station traveling west at 55 mph. How long after train B leaves the station until the trains are 610 miles apart?
Click here to see answer by Alan3354(30993)

Question 193679: express the following ratio in its simplest form
a)3 1/2:1 2/3
Click here to see answer by edjones(7569)

Question 193910: Sandy bicycled 45 miles going east from Cambridge and Janie, 70 miles. Janie averaged 5 miles per hour more than Sandy and her trip took 1/2 hour longer than Sandy's. How fast was each one traveling?
Click here to see answer by ankor@dixie-net.com(15663)

Question 194118: This morning, my dog Walter broke out of the house and ran directly to the farm up the road at a speed of 12mph. When he arrived at the farm he was scared by the cows so he turned around and ran directly home (by the same route) at a speed of 8mph. Walter spent a total time of one hour running to the farm and back. Find the distance from my house to the farm.
Click here to see answer by nerdybill(6963)

Question 194135: The perimeter of a triangle is 75 cm. If the lengths of the sides of the triangle are consecutive odd integers, find the length of each side.

thanks
Click here to see answer by josmiceli(9697)

Question 194176: Consider Joseph in the pit.His bright idea is to lasso a post on the edge and pull himself out before ither his brothers notice or the roving band of ishmaelites appear. if the end of the rope starts at the end of the pit and follows the equation.
S=-16(t-6)^2+4
Were S stands for the distance in feet above ground level(above ground level is positive and bellow is negative.)
t, stands for the time in seconds after he throws the rope.
The velocity at any time t, is given by
V=-32(t-6)were v, is measured in feet per second
1.graph the equation S(t)for all sensible values of t
2 with what initial valocity did joseph throw the rope
3 at what time is the velocity 0
4 what is the maximum hight the rope attains.
5 how mant seconds does it take for the rope to land on the ground above him
6 what is the velocity when the rope lands on the ground
7 what is the initial value of S
8 how deep is the pit
9 if the post is 5 ft high dose Joseph escape or is he sold to the ishmaelites

Click here to see answer by stanbon(57412)

Question 194187: The Hudson River flows at a rate of 5 miles per hour. a patrol boat travels 40 miles upriver and returns in a total time of 6 hours.What is the speed of the boat in still water?
Click here to see answer by stanbon(57412)

Question 194250: A car is traveling on a road that is perpendicular to a railroad track when a car is 30 meters from the crossing, the cars new collison detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. how far is the train from the crossing?
Click here to see answer by ankor@dixie-net.com(15663)

Question 194313: Light travels at a speed of 3.05 x 108 meters per second (m/s). There are approximately 3.15 x 107s in a year. How far does light travel in 6 years?
Click here to see answer by Alan3354(30993)

Question 194472: Two planes start at the same point and fly in opposite directions. The 1st plane is flying 25mph slower than the 2nd plane. In 2 hours the planes are 470 miles apart. Find the rate of each plane.
Click here to see answer by doukungfoo(195)

Question 194738: The rate of a jet is 400 mph in calm air. Traveling with the wind, the jet can fly 2100 miles in the same amount of time as it takes to fly 1900 miles against the wind. Find the rate of the wind.
d=rt
calm air = 400 mph
distance with wind = 2100 miles
distance against wind = 1900 miles
2100 = (400+w)*?
1900 = (400-w)*?
I understand that we need to find w(rate of wind), but what's the time? The problem just states that it is the same.
Click here to see answer by jim_thompson5910(28598)

Question 194698: During a multi-day camping trip, Jacque rowed 17 hours downstream. It took 26.5 hours rowing upstream to travel the same distance. If the speed of the current is 6.8 kilometers per hour less than his rowing speed in still water, find his rowing speed and the speed of the current.
Click here to see answer by ankor@dixie-net.com(15663)

Question 194734: A boat can go 40 miles against the current in the same time it can go 80 miles with the current. If the speed of the current is 2 miles per hour, what is the speed of the boat?
This problem does not give time, it just states that it is the same, thus making me confused on how to solve it. Please help....
Click here to see answer by solver91311(16897)

Question 194837: Zene decides to canoe 6 miles upstream on a river to a waterfall and back. The total trip is 8 hours. She can canoe an average of 3 miles per hour. What is the speed of the current? I would like more than just the answer, need to know how to get the answer. Thank you.
Click here to see answer by solver91311(16897)

Question 194900: Kind of a physics/math question and cannot figure out!!!!
The space shuttle performs a retro burn for 3.5 minutes to go from an orbital velocity of 17,500 mph to re-entry velocity of 5000 mph.
1) How many miles does the maneuver require?
2) How many g's do the astronauts experience?
Click here to see answer by Alan3354(30993)

Question 195004: A man made a 70-mile trip at a certain average rate. By increasing his average rate by 5 miles per hour, he traveled 80 miles in the same time that he spent on the 70-mile trip. Find his average rate on each trip.
Click here to see answer by ankor@dixie-net.com(15663)

Question 195111: Two pipes are connected to a tank. When working together, the two pipes can fill the tank in 4 hours. The larger pipe, working alone, can fill the tank in 6 less hours than the smaller one. How long would the smaller one take to fill the tank alone?
Click here to see answer by ankor@dixie-net.com(15663)

Question 195283: A small plane travels 520 miles with the wind in 3 hours, 20 mins (3 1/3 hours), the same time that it takes to travel 460 miles against the wind. what is the plane's speed in still air?
Click here to see answer by ptaylor(2048)

Question 195292: In a family there are two cars. In a given week, the first car gets an average of 30 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 2500 miles in that week, for a total gas consumption of 70 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by checkley77(12569)

Question 195311: If Bill drives from his home to his office at 40 miles per hour, he arrives 5 minutes early. If he drives at 30 miles per hour, he arrives 5 minutes late. How far is it from his home to his office?
Click here to see answer by ankor@dixie-net.com(15663)

Question 195402: Helped by a strong jet stream, a LA to Boston plane flew 10%faster than usual and made the 4400KM trip in 30 min less time than usual. At what speed does the plane usually fly?
Click here to see answer by ankor@dixie-net.com(15663)

Question 195454: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T2 = 2L. If a child is on a swing with at 10-foot chain, then how long does it take to complete one cycle of the swing?
8T2 = 2L =
8T2 = 3.142(10)=
8T2 = 9.86(10)= 98.60
8T2 = 398.60

Click here to see answer by vleith(2825)

Question 195406: The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in a Total of 3 hours. What is the speed of the boat in still water?
Click here to see answer by ankor@dixie-net.com(15663)

Question 195410: Respected sir,
1] A distance is covered in 3 hours 48 min. at 5 kmph. how much time will be taken to cover it at 28.5 kmph ?
2] Ritu goes to school at 10 kmph & reaches the school 6 minutes late.Nwxt day, she covers this distance at 12 kmper hour & reaches the school 9 minutes eariler than the scheduled time.what is the distance of her school from her house ?
plz sir help me to solve this arith problem.
waiting for yurs reply.
take care
thank u.
Click here to see answer by ankor@dixie-net.com(15663)

Question 195494: a celebrity leaves a night club by car traveling at 1.5 miles per minute(90MPH)trying to avoid a tabloid photagrapher. One minute later, the photagrapher leaves the night club on his motorcycle, traveling at 2 miles per minute(120 MPH) in pursuit of the celeb. how long will it take the photographer to catch up with the celeb?
Click here to see answer by checkley77(12569)

Question 195507: Respected sir,
1] A train travelling 25km an hour leaves Delhi at 9 a.m. & another train travelling 35 km an hour starts at 2 p.m. in the same direction . how many km from Delhi are they together ?
2] Walking 3/4 of his usual rate,a man is 1 1/2 (one an half hour) hours too late.find his usual time.
plz sir solve my difficulty as soon as possible.
thank u.
Click here to see answer by ejazali_syed(7)

Question 195539: Adriana's 18-kilometer boat trip downriver took two hours, but the return trip back upstream took three hours. Figure the speed of the boat in still water and the speed of the current of the river.
Click here to see answer by anantha(86)

Question 195542: Marcie can walk 8 miles in the same time
as Frank walks 6 miles. If Marcie walks 1 mile per hour
faster than Frank, then how fast does each person walk?
Click here to see answer by edjones(7569)

Question 195696: A B747 aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 13 times the speed of the wind, find the wind speed and the speed of the plane in still air.
Click here to see answer by ankor@dixie-net.com(15663)

Question 195718: A baseball player has hit a ball. The height, y, of the ball x seconds after it is hit is given by y= -16x^2 + 80x + 3.
At what time will the ball reach its maximum height? I used the quadratic formula and my answer was 2.04
What is the maximum height of the ball? I used the original formula.My answer was 232.78
When will the ball hit the ground? My answer was 4.08
Is this right??
thanks
Click here to see answer by jim_thompson5910(28598)

Question 195826: a boat travels 4 miles south then 10 miles east, how far is the boat from its starting point?
Click here to see answer by edjones(7569)

Question 195826: a boat travels 4 miles south then 10 miles east, how far is the boat from its starting point?
Click here to see answer by solver91311(16897)

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(9697)

Question 195887: An airplane travels 500 miles against the wind in 5 hours and makes the return trip with the same wind in 2 hours. Find the rate of the wind.
I believe I should use d=rt but everthing I plug in seems incorrect. Thank you in advance for your help.
Click here to see answer by ankor@dixie-net.com(15663)

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