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Word Problems: Travel and Distance

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Question 3422: Sue heads due west from Dry Gulch on U.S. 6.5 at a steady speed of 55 mph (miles per hour) while Don heads due east from Wet Hollow (which is 830 miles west of Dry Gulch) on the same hiway at 65 mph but he starts 2 hours after Sue did. How many miles did Don travel before they met?
Click here to see answer by khwang(438)

Question 3173: A train leaves a station and travels west at 54mph. Four hours later, a second train leaves the same station and travels west at 90mph. When will the second train overtake the first?
Click here to see answer by longjonsilver(2297)

Question 3604: Joe start walking due north, Bob starts waling due east. When they stop Bob has walked 1 mile further than Joe and they are 5 miles apart as the crow flies. How far did Bob walk?
Click here to see answer by drglass(89)

Question 4051: Problem:
Find an approximate value for the rate at which the moon orbits the earth. Assume that the moon's orbit is circular.
Click here to see answer by longjonsilver(2297)

Question 4053: By walking 3/4th of his usual speed, a man reaches his office 20 minutes later than usual. What is his usual time?
Click here to see answer by khwang(438)

Question 4054: A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
Click here to see answer by khwang(438)

Question 4056: Upstream, downstream. 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 of the current? D R T Downstream 12 x 12/x Upstream 9 x 9/x The speed of current is 1/5 mph. On the right track or totally off? So far..... 12/x - 9/x = 15 ; 3/x = 15 ; 3 = 15x ; 3/15 = x ; 1/5 = x ; Am I on the right track?...Thank you

Click here to see answer by khwang(438)

Question 4103: how long would it take to travel 150 miles at 90 miles per hour
Click here to see answer by rapaljer(3610)

Question 4136: A car moving at 50km/h skids 15m with locked brakes. How far will the car skid with locked brakes at 150km/h?
Click here to see answer by khwang(438)

Question 4253: alrighty
can someone explain to me how this is done?
A KITE IS FLYING ON 50FT. OF STRING. HOW HIGH IS IT ABOVE THE GROUND IF ITS HEIGHT IS 10FT MORE THAN THE HORIZONTAL DISTANCE FROM THE PERSON FLYING IT? (ASSUME LEVEL GROUND). I'VE DRAWN A PICTURE AND EVERYTHING, BUT I DON'T UNDERSTAND.
THANKS
Click here to see answer by Earlsdon(4898)

Question 4266: alrighty
can someone explain to me how this is done?
A KITE IS FLYING ON 50FT. OF STRING. HOW HIGH IS IT ABOVE THE GROUND IF ITS HEIGHT IS 10FT MORE THAN THE HORIZONTAL DISTANCE FROM THE PERSON FLYING IT? (ASSUME LEVEL GROUND). I'VE DRAWN A PICTURE AND EVERYTHING, BUT I DON'T UNDERSTAND.
THANKS
Click here to see answer by Earlsdon(4898)

Question 4264: alrighty
can someone explain to me how this is done?
A KITE IS FLYING ON 50FT. OF STRING. HOW HIGH IS IT ABOVE THE GROUND IF ITS HEIGHT IS 10FT MORE THAN THE HORIZONTAL DISTANCE FROM THE PERSON FLYING IT? (ASSUME LEVEL GROUND). I'VE DRAWN A PICTURE AND EVERYTHING, BUT I DON'T UNDERSTAND.
THANKS
Click here to see answer by rapaljer(3610)

Question 4291: Juan pLast year, Juan won a radio station contest for $25,000. He put part in a saving account that paid 3% interest, and the rest in a mutual fund that paid a 25% dividend. If the return on his investments was $5,150, how much did he put in each investment?
Click here to see answer by Earlsdon(4898)

Question 4290: A freighter leaves port steaming South. Two hours later a Coast Guard Cutter located 50 miles to the north of the port is ordered to give chase. If it takes the cutter 4 hours to overtake the ship steaming at 20 miles per hour faster, how fast were both traveling?
Click here to see answer by rapaljer(3610)

Question 4332: I have a word problem I need help with please.
James cast a lure from 8 feet above the sea level to a depth of 22 feet under water. The lure was taken down by a trout another 15 feet. James reeled in the fish so that it was pulled up vertically 30 feet. At that point the line snapped and he lost the fish. At what depth was the fish when the line snapped?
Click here to see answer by Earlsdon(4898)

Question 3906: If two people can do a job in 12 minutes. And one person takes 30 minutes how long does it take the other person to do the job alone?
Click here to see answer by ntnk(49)

Question 4448: A person standing close to the edge on the top of a 200-foot building throws a baseball upward into the air. The quadratic function models the ball’s height above the ground in feet, t seconds after it was thrown.
After how many seconds does the ball reach its maximum height? What is the maximum height?
How many seconds does it take the ball to hit the ground?

Click here to see answer by Earlsdon(4898)

Question 4441: A fisherman takes his boat out to sea and then back to the harbor. The entire trip lasts 8 hours. If he travels out at 18 mph and follows the same route back at 14 mph, how many miles does he travel altogether?
Click here to see answer by pushpaharan(47)

Question 4438: I think I know the answer, but I need to know if I'm right: Brian leaves Eagle Nest Campground at 8:30 am, and hikes along a trail at 4kph. One hour later, Rob leaves the same campground and hikes along the same trail at 6 kph. At what time of day will he catch up with Brian? (I think that they meet at 2:30 pm. Am I correct, if not can you help me figure out where I went wrong?) Thanks
Click here to see answer by pushpaharan(47)

Question 4488: PLEASE SOLVE THIS QUESTION FROM LINEAR EQUATIO IN TWO VARIABLES ITS TROUBLING ME A LOT
Q:A cyclist after travelling a certain distance stopped for 30 minutes to repair the cycle.Then he completed the whole journey of 30km at half the speed and took a total time of 5hours.If the breakdown has occured 10km further off,he would have completed the whole journey in 4hours.Find where the breakdown occoured and his original speed.
ANSWER:15 KM FROM THE STARTING POINT:SPEED:10KM/HR(GIVEN IN THE BOOK)
Click here to see answer by longjonsilver(2297)

Question 3975: Distance, Rate, and Time!!
Ok, here goes. Bob Rodriguez, the Albany,NY sales representative for Advanced Drafting Software, Inc., must attend the regional sales meeting in New York City. Unfortunately, his car is in the shop so he must make other travel arrangements to reach his destination. One option is to take a train that departs at 8:00 A.M. Alternatively, he could ride to the meeting with another sales rep.
Bob has an important presentation to deliver at the meeting and needs to arrive as early as possible. He knows that the train travels at 80 miles per hour, but has a 30- minute layover halfway through the 156-mile trip. He also knows his friend cannot depart before 8:00 A.M. and will adamantly refuse to drive any faster than 55 miles per hour.
If both methods of transportation leave at the same time(8:00A.M.), will the train or car allow him to reach the regional sales meeting sooner??
Click here to see answer by khwang(438)

Question 4612: Tim is driving a truck to chicago. He is driving at 55 miles per hour and has to hit the brakes because of heavy traffic. His truck slows at the rate of 2 miles per hour for every 3 seconds. How fast will he be traveling 10 seconds after he hits the brakes?
Click here to see answer by xcentaur(357)

Question 4686: two- way radio range
two children own two-way radios that have a maximum range of 2 miles.Once leaves a certain point at 1:00 pm. Walking due north at a rate of 4 mi/hr. The other leaves the same point at 1:15 pm. Travling due south at 6 mi/hr. When will they be unable to communicate with each other?
Click here to see answer by xcentaur(357)

Question 4685: two- way radio range
two children own two-way radios that have a maximum range of 2 miles.Once leaves a certain point at 1:00 pm. Walking due north at a rate of 4 mi/hr. The other leaves the same point at 1:15 pm. Travling due south at 6 mi/hr. When will they be unable to communicate with each other?
Click here to see answer by xcentaur(357)

Question 4764: The sales price of a car is $12,590 which is 20% off the original price. What is the original price. I want the explanation of how this is solved. The answer is already on here but there is no explanation.
Click here to see answer by longjonsilver(2297)

Question 4754: Solve this problem:
Jill is 22.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 km/hr. They meet in 5 hours. How fast is Joe walking?

Click here to see answer by longjonsilver(2297)

Question 4758: Two cars labeled A and B are in a 500 lap race. Each lap is 1 mile. The lead car, A, is averaging 125 mph when it reaches the halfway point. Car B is exactly 6.2 laps behind.
a) What is the average speed of car B?
b) When car A reaches the halfway point, how far behind, in seconds, is car B from car A?
Click here to see answer by longjonsilver(2297)

Question 4777: I have two questions:
1. The hieght of the Eiffel Tower is 984 feet. How long would it take an object to fall from the top?
2. The hypotenuse of a right triangle is 35 feet long. One leg is 7 feet longer than the other. Find the lengths of the legs.
Click here to see answer by Abbey(339)

Question 4805: Two Cyclists are traveling in the same direction on the same bike path. One travels at 20 mph and the other at 14 mph. After how many hours will they be 15 miles apart?
I just need to know how you would set this problm up.
Click here to see answer by Earlsdon(4898)

Question 4817: SALLY, JIM, AND BOB ARE ALL TYPING A 20 PG REPORT. IT TAKES SALLY 40 MINS, IT TAKES JIM 30 MINS, AND IT TAKES BOB 24 MINS. HOW LONG WILL IT TAKE THEM TO TYPE THE PAPER TOGETHER?
Click here to see answer by Abbey(339)

Question 4825: A Bycicle wheel is 28 in. in diameter. How many revolutions will the wheel make in traveling one mile?
Click here to see answer by Abbey(339)

Question 4896: A biccycle wheel is 28 in. in diameter. How many revoltions will the wheel make in traveling one mile?
Click here to see answer by Abbey(339)

Question 4900: The altitude of a triangle is how many times the altitude of a rectangle if the rectangle and the triangle have equal bases and equal areas?
Click here to see answer by Abbey(339)

Question 4899: The altitude of a triangle is how many times the altitude of a rectangle if the rectangle and the triangle have equal bases and equal areas?
Click here to see answer by Abbey(339)

Question 4897: A Cube has an edge of 3 in. what is the total area of the cube

Click here to see answer by Abbey(339)

Question 4603: I can't figure out the . I need help, please!
It takes Pat 12 hours to complete a task. After he had been working for 3 hours, his brother Mike joined him, and together they finished the job in 5 hours. How long would it take Mike to do the job by himself?
Click here to see answer by Abbey(339)

Question 4903: A cone and a cylinder have equal bases and equal altitudes. The volume of the cone is what fractional part of the volume of the cylinder?
Click here to see answer by arunpaul(104)

Question 4635: (Please show steps and explain):
Susan drove 3.35 hours at a rate of 50 miles per hour. To the nearest tenth, how long would it take her to drive the same distance at a rate of 45 miles per hour?
Click here to see answer by Abbey(339)

Question 4908: A cone and a cylinder have equal bases and equal altitudes. The volume of the cone is what fractional part of the volume of the cylinder?
Click here to see answer by lotanez(23)

Question 4967: A canoeist paddled 4 hours with a 6=km/h current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of the canoe in still water.
Click here to see answer by Abbey(339)

Question 4965: two cars leave town at the same time going in opposite directions. One travels 44 mi/h and the other travels 55 mi/h. In how many hours will they be 297 miles apart?
Click here to see answer by Abbey(339)

Question 4969: an airplane flew for 4.23 hours with a 25.5-km/h tail wind. the return flight against the same wind took 4.97 hours. find the speed of the plain in still air.
Click here to see answer by Abbey(339)

Question 4968: it takes a passanger train 2 hous less time than it takes a freight train to make the trip from central city to clear creek. the passenger train averages 96 km/h while the freight train averages 64 km/h. How far is it from central city to clear creek?
Click here to see answer by Abbey(339)

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