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

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Question 113764: At 8:00 a.m the Smith's left a campground,driving at 48mi/h. At 8:20 a.m the Garcia's left the same campground and followed the same route, driving at 60 mi/h. At what time did they overtake the Smith's?
Here is what I have but I don't know if it is right
60t=48(t+1/3)
60t=48t+16
60t-48t=48t-48t+16
12t=16
12t/12=16/12
t=14/12or 11/3
They overtook the Smiths at 1:20
Is this right?
Click here to see answer by josmiceli(9817)

Question 113818: the number of hours a boat will take to travel 10km upstream if the rate of the boat in still water is x kph and the current is 2.5 kph

Click here to see answer by stanbon(57940)

Question 113629: Find the time required for an object to fall to the ground from a building that is 1400 ft high.
Click here to see answer by scott8148(6628)

Question 114141: One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?
Click here to see answer by bucky(2189)

Question 114219: Sue travels 5mph less than twice as fast as June. Starting at the same point and traveling in the same direction, they are 80 miles apart after 4 hours. Find their speeds.
Click here to see answer by ankor@dixie-net.com(15745)

Question 114297: a boat travels 110 feet in 5 sceonds. What is the boat's speed in miles per hour?
Click here to see answer by ankor@dixie-net.com(15745)

Question 114554: Bill drove from Ajax to Bixby at an average speed of 50mi/h. On the way back, he drove at 60mi/h. The total trip took 4 2/3 hours of driving time. Find the distance between the two cities.
Click here to see answer by checkley71(8403)

Question 114589: Sylva walked to Cathy's house at 2km/h, and then rode her bicycle back to her own house at 10km/h. The entire trip took 3 h. How long a time did Sylvia walk?
Click here to see answer by checkley71(8403)

Question 114851: I need help with this problem: It is from Week by Week Mathematics Essentials
Grade 8 Week 12
Sean paddled upstream 3 hours to camp. The next day he makes the return trip downstream in 1 hour. Sean can paddled 2 mph in still water. How fast is the current?
Thank you.

Click here to see answer by checkley71(8403)

Question 114892: Hisako ran a cross-country race in which the course was divided into 3 equal legs. Hisako ran the first leg at 12 km/h and the last two legs at 16 km/h. The whole race took her 50 min. How long was each leg? How long was the entire course?

I know the solution is something like this:
12t + 16t + 16t = d
And I believe 50 minutes needs to be converted to hours, so 5/6 of an hour...but I'm not sure how to set up the equation so it's solvable. Please help.
Click here to see answer by checkley71(8403)

Question 114884: Hendrik's average running speed is 375 m/min. This is 25 m/min faster than Esteban's running speed. If they want to finish at the same time, how much of a headstart, in time, should Esteban get for a 1500 m ru

(Please give an equation)
Click here to see answer by ankor@dixie-net.com(15745)

Question 114934: Alexandra lives 33 miles from work. During the summer she rides her bike at 7mph to the metro station. She then takes the metro to work which travels at 39mph.
If she spends 21 min more on the bike than on the metro,what is the distance from her house to the metro?(work with time in hours and round your answer to a whole number.
Here is what I have tried: the total distance is 33 miles from home to work. The distance from home to the metro is 33-x. THe time x +.35 hr.= TIME ON THE METRO, I think. I tried 7(x)+39(x+.35
7x¨plus 39x plus 13.65equals33 x equals .42 hr that is the time biking 7x.42equals 2.94 miles. round to 3 miles.Is this right
Click here to see answer by solver91311(17059)

Question 115079: She discovers that at full speed, the boat model can cover 1128 feet in 2 minutes. Suddenley she realizes that the boat is only 240 feet from the falls. She turns it around and runs it at top speed in the other direction. It looses. As the boat goes over the falls, she observes that 5 minutes passed since it was turned around. How fast did the boat move throught the water? How fast was the water flowing?
Click here to see answer by solver91311(17059)

Question 115106: An airplane propeller whose blades are 5.50 feet long is rotating at 2400 rpm. Find the linear speed of a point on the end of the blade.
Click here to see answer by solver91311(17059)

Question 115248: Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 108 miles in the same time that Dana travels 99 miles. If Chuck's rate of travel is 3 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Click here to see answer by bucky(2189)

Question 114860: A bicycle leaves town at 16 mph at 8 am. A car leaves at 11 am, traveling in the same direction at 40 mph. How many minutes after 11 am is it when the car overtakes the bicycle?
Click here to see answer by ankor@dixie-net.com(15745)

Question 115268: A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
I don't know how to turn this in to an equation.
Click here to see answer by stanbon(57940)

Question 115253: Two planes leave San Francisco headed for Dallas at the same time.
Plane 1, Commercial Jet, takes 3 hours to arrive in Dallas.
Plane 2, Private Jet, takes 3 1/2 hours to arrive in Dallas.
In how many hours will Plane 2 be twice the distance from
Dallas as the first plane?

Click here to see answer by scott8148(6628)

Question 115488: A plane filies 465 miles with the wind and 345 miles against the wind in the same length of time. If the speed of the wind is 20mph, find the speed of the plane in still air.
I am not sure where to begin. I have tried subtracting the wind speed and adding it, but I don not know where to go from there.

Click here to see answer by ptaylor(2052)

Question 115659: During rush hour Adrianna can drive 20 miles using side roads in the same time that it takes to travel 15 miles on the freeway. If Arianna's rate on the side roads is 10mph fraster than her rate on the freeway, find her rate on the side roads?
Click here to see answer by ankor@dixie-net.com(15745)

Question 115520: Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
Click here to see answer by ankor@dixie-net.com(15745)

Question 115714: Two boats pass each other going in opposite directions. The first boat travels 2 miles per hour faster than the second boat. What is the average speed of each boat if they are 6 miles apart after 2 hours?
Click here to see answer by ptaylor(2052)

Question 115995: I've been working on this one for two days. Any help is appreciated.
Girl is hiking and standing on the middle of a train bridge over a river. She is 300 ft from point P which is also the direction the train is approaching from. She is 500 ft from point Q in the opposite direction of the train's approach. Heather can reach point P at the same time as the train will reach point P while she is running 10mph. She can reach point Q at the same time as the train will reach point Q while she is running 10mph. How fast in mph is the train traveling?
I've tried various d=rt combinations, using the table format, but nothing is correct. I know that the girl can reach point P in 30 units of time or reach point Q in 50 units of time. The train can reach point Q in 50 units of time + the unknown amount of time it takes to reach the bridge. There is an unknown in the distance the train is from the bridge. I think I've looked at this too long.
Click here to see answer by stanbon(57940)

Question 116160: A plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 25 mph, what is the speed of the plane in still air?
Click here to see answer by checkley71(8403)

Question 116106: With the current, a motorboat travels 60 mi in 3 h. Against the current, it takes 2 h longer to travel 60 mi. Find the rate of the current.
Click here to see answer by checkley71(8403)

Question 116162: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes were doubled and the number of nickels were increased by 6, the value of the coins would be $9.90. How many dimes does he have?
Click here to see answer by ankor@dixie-net.com(15745)

Question 116301: A pleasure boat carries passengers 10 miles upstream and then returns to the starting point. The total time of the trip(excluding the time on the ground) takes 2 hours. If the speed of the current is 2 miles per hour, find the speed of the boat in still water. Round your answer to the nearest tenth of a mile.
I need to see how you work this problem out in detail!
Click here to see answer by bucky(2189)

Question 116318: I'm supposed to use the five step method to solve this, but no quite sure what that is. The problem is:
A sailboat travels 20 miles downstream in three hours. It returns in four hours. Find the speed of the sailboat in still water and the rate of the current.
Click here to see answer by stanbon(57940)

Question 116846:
A bicyclist traveled to a nearby town at the rate of 24 mph and returned at the rate of 18 mph. It took him 4.9 hours. What was the distance to the town?
I know d = r * t but just can't get the formula to work.
Click here to see answer by checkley71(8403)

Question 116945: A passenger train traveling due west at 40km/h passes a freight train traveling due east at 90km/h. How long after they pass each other will the trains be 325km apart?
My calculation is the distance travelled by both trains are 325 Km.
The time = x.
Therefore,
325 - 40x = 90x
x=2.5 or 2.5 hours, so after 2.5 hours they will be 325 km apart. Is this correct?
Click here to see answer by ganesh(20)

Question 117048: A bus leaves a station at 1 pm traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
Click here to see answer by checkley71(8403)

Question 117049: MARTIN LEAVES HOME AT 9 AM BICYCLING AT A RATE OF 24 MI/H. TWO HOURS LATER, JOHN LEAVES, DRIVING AT THE RATE OF 48 MI/H. AT WHAT TIME WILL JOHN CATCH UP WITH MARTIN?
Click here to see answer by checkley71(8403)

Question 117047: A bicyclist rode into the country for 5 hr. In returning, her speed was 5 mi/h faster and the trip took 4 hr. What was her speed each way?
Click here to see answer by bucky(2189)

Question 117152: A cabin cruiser travles 20 miles in the same time that a power boat travels 40 miles. the cruiser travels 5 mph slower than the power boat. Find the speed of each boat.
Click here to see answer by ptaylor(2052)

Question 117200: a cruise boat travels 24 miles downstream in 3 hours and returns to its starting point upstream in 6 hours. find the speed of the stream.
Click here to see answer by stanbon(57940)

Question 117198:
a cruise boat travels 24 miles downstreamin 3 hoursand returns to its starting point upstream in 6 hours. find the speed of the stream.
Click here to see answer by checkley71(8403)

Question 117303: How far does a bus travel going 90km/h in 20minutes?

Click here to see answer by prabhjyot(164)

Question 117453: I am having troubles completing the following word problem.......
J. Bond and E. Blofeld are driving speedboats in opposite directions after a failed attepmt by the latter to blow up the world with a nuclearbomb. Mr. Bond's boat is going 25 MPH faster than Mr. Blofeld's. After 3 hours they are 500 miles apart. How fast was each of them going?
This is what i have so far but I am stuck
x^2+y^2=500^2
x^2(x^2+25)^2=500^2
x^2+x^2+50x+625=250,000
2x^2+50x+625-625=250,000-625
2x^2+50x-249,375=0
2x^2+50x-249,375=0 divided by 2
x2+25x-124687.50
I am not sure what to do next. Please help. THank you so much!!!

Click here to see answer by checkley71(8403)

Question 117476: I am traveling from Kansas city, mo to Flagstaff arizona. I want to know if I am traveling at speed of 55 mph going a distance of 1117.5 miles and stopping for 45 minutes for breaks. How many hours will I be traveling to get to my destination. Also if I have to slow down to 10 mph for about 30 miles many more hours will that add to my trip. How would I put this in an equation form.
Click here to see answer by Fombitz(13828)

Question 117573: On a 5 hr trip thomas drove part of the time at 30mph and the rest 55 mph. if he traveled a distance of 250 miles, how much time did he spend driving at 55mph?
Click here to see answer by solver91311(17059)

Question 117625: John and Jim are 11 miles apart and walking toward each other. They meet in 2 hours. Jim walks 1.1 miles per hour faster than John. What's the rate of John? Set up an equation to solve.
Click here to see answer by ankor@dixie-net.com(15745)

Question 117628: AN ACCOUNTANT RIDES THE BUS PART OF THE WAYTO WORK EVERY DAY AND WALKS THE REST. THE BUS RIDES 40 MPH AND THE ACCOUNTANT WALK 3MPH. THE DISTANCE FROM WORK IS 23 MILES. THE TOTAL TIME IT TAKES THE ACCOUNTANT TO GO TO WORK IS 3HRS. HOW FAR DOES THE ACCOUNTANT WALKS?
Click here to see answer by Fombitz(13828)

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