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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 1107789: Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 6 km per hr, what was her boat speed in still water?
Click here to see answer by greenestamps(13296)

Question 1031863: frank went 16 miles at one speed and then caame back going 4mph faster. if the return trip took 40mins less time find the 2 speeds.
Click here to see answer by josgarithmetic(39736)

Question 1031863: frank went 16 miles at one speed and then caame back going 4mph faster. if the return trip took 40mins less time find the 2 speeds.
Click here to see answer by n2(54)

Question 1155527: two brothers leave their house at the same time. alex runs due east at a constant speed of 10km per hour, and Boris walks due south at a constant speed of 4km per hour. How far has each brother travelled after 30 minutes?

Click here to see answer by ikleyn(53618)

Question 1179660: A motorboat traveling with the current went 42 mi in 3.5 h. Traveling against the current, the boat went 18 mi in 3 h. Find the rate of the boat in calm water and the rate of the current.
Click here to see answer by josgarithmetic(39736)

Question 1179659: Flying with the wind, a plane flew 1,120 mi in 4 h. Against the wind, the plane required 7 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
Click here to see answer by n2(54)

Question 166202: a plane which can fly 520mph in still air flies for 3 hours against a wind and for 2 hours with the same wind. The total distance it covers is 2565 miles. find rate of the wind.
Click here to see answer by MathTherapy(10719)

Question 1179658: A plane traveling with the wind flew 1312.5 mi in 5.25 h. Against the wind, the plane required 6.25 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
Click here to see answer by n2(54)

Question 147045: Hi. I am writing is to inform you that I really need help in solving distance word problems. I also will ask you a specific question connected with age word problem. This has nothing to do with home work but I am planning on taking the graduate management admission test (GMAT) probably before the end of this year.
Here are the distance word problems, age word problem and questions connected to these problems:
Problem 1: A 555 mile, 5 hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.
Here is the part of the equation that I have the question for you:
555-d=115(5-t).
Question 1: I want to know from the above equation, where does this minus "-" sign (555 "-"d=115(5-t) come from? I did read the above distance word problem and I did not see any key words connected with subtration (-). So I need to know where does the (-) come from?
Problem 2: A car and a bus set out at 2pm from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car.
Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.
Here is part of the equation concerning problem 2.
d+20=2(2r-30).
Question 2: I want to know from the above equation, where does this plus "+" sign (d"+"20=2(2r-30) come from? I did read the above distance word problem and I did not see any key words connected with addition (+). So I need to know where does the (+) come from?
Age Word Problem
I noticed this equation with the solution from an age word problem:
H/2+1+H/3-1=20
H/2+H/3=20
3H+2H=120
5H=120
H=24
Question 3: I want to know from the above equation with the solution where does the 120 come from?
Here is the last question:
I solved this equation and I need to know if it is correct:
2r + 20 = 4r - 60
4r - 60
2r + 20
________
2r - 40
-- -- r = -20
2r 2r
The answer is -20. Am I correct?
Thank You.
Note: The above word problems come from a source other than a textbook. It is from a website (www.purplemath.com)

Click here to see answer by MathTherapy(10719)

Question 1182591: A 0.5 kg block initially at rest on a frictionless horizontal surface is acted
upon by a force of 8.0 N for a distance of 4.0 m how much kinetic energy does the block gain
Click here to see answer by n2(54)

Question 1182444: the track is a 500m circuit. Ali practices running at a speed of 10kph. Ben practices cycling and travels at 25kph. How long does Ali take to run one lap?
Click here to see answer by n2(54)

Question 1182443: What is the momentum of a fuel tanker moving to the west that has a loaded tonnage of 800000 tons
( lets use metric tons .. 1 ton = 1000 kg ) and a speed of 36.0 mph in kg*m/s
Click here to see answer by n2(54)

Question 448800: A bicycler traveling 12 mph passes a runner traveling 9 mph. If the runner started at noon, and the bicycler at 12:30, how far from the start point did they meet?

Click here to see answer by ikleyn(53618)

Question 448811: At the beginning of a walk Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour what are their speeds?
Click here to see answer by ikleyn(53618)

Question 446364: Palmer's average running speed is 3 Kilometers per hour faster than his walking speed. If Palmer can run around a 20-Kilometer course in 2 hours, how many hourse would it take her Palmer to walk the same course?
I NEED TO SEE THE WORK ON HOW YOU GOT THE ANSWER!!
Click here to see answer by josgarithmetic(39736)

Question 445225: two cars leave towns at the same time in oppoistite directions one travels 35 mi/h and the other 40 mi/h in how many hours will they be 15 miles apart?
Click here to see answer by ikleyn(53618)

Question 444160: My probelm is this: A truck enters a highway driving 60mph. A car enters the highway at the same place 12 minutes later and drives 67mph in the same direction. How long before the car passes the truck?
I have My Math Lab on coursecompass.com and it kind of explains the solving process but I seem to get lost at the end.
I know that the problem needs to be set up with d(t)=60(t + 10) and d(c)=67t but after that I get lost. Please help.
Click here to see answer by ikleyn(53618)

Question 437577: Flying against a headwind, a plane covers 900 miles in 2 hours. The return trip with a tailwind only takes an hour and a half. Find the speed of the wind, and the speed of the plane within the air mass.
Click here to see answer by josgarithmetic(39736)

Question 437560: Sarah hikes at 4 kilometers per hour from one end of a trail that is 34 km long. Amanda begins 1 hr laater at the other end. Walks toward sarah at 6 k/m. How long will it take for them to pass each other
Click here to see answer by MathTherapy(10719)

Question 435646: a bomber takes off and flies 500kph a fighter setting out 2 1/2 hrs late flies at 750kpm how long will it take for the fighter to overtake the bomber and how far will the bomber have travelled at this time?

Click here to see answer by ikleyn(53618)

Question 434148: John and Brian leave Williston at the same time. John drives north and Brian drives east. John's average speed is 10 miles per hour slower than Brian's. At the end of one hour they are 50 miles apart. Find Brian's average speed.
Click here to see answer by ikleyn(53618)

Question 433975: A long distance runner started on a course running at an average speed of 6 mph. one-half hour later, a second runner began the same course at an average speed of 7mph. How long after the second runner started did the second runner overtake the first runner?
Click here to see answer by MathTherapy(10719)

Question 431703: One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The rate of the second plane was 50 mi/h faster than the rate of the first plane. How fast did each plane fly?
Click here to see answer by ikleyn(53618)

Question 419040: The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours.
What is the speed of the boat in still water?
Click here to see answer by timofer(144)

Question 419037: The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount of time it takes to travel 1.5 miles upstream, what is the speed of the current?
Click here to see answer by ikleyn(53618)

Question 423288: An airplane flew for 3 hours with a tail wind of 18 kilometers per hour. The return flight against the wind took 4 hours. Find the rate of the plane in still air.
Click here to see answer by josgarithmetic(39736)

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