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Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 190300: A river flows at 3mph. A boat takes 1 hour longer to sail 36 miles upstream than to return. What is the speed of the boat in still water?
I have worked for hours on this problem and get equations that seem almost right but do not give me the answer. My math major friend cannot figure it out either. I'd appreciate if you would help me please. Thank you.
Click here to see answer by ptaylor(1578)   |
Question 190401: At 10 a.m., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of 4 mph. The total trip took 1 h. At what time did the campers turn around downstream?
Thanks.
Click here to see answer by solver91311(5072)  |
Question 190298: There is a freight train that travels 30 mph. An express train travels 55 mph. The freight train is 300 miles ahead of the express train. How long will it take for the express train to overtake the freight train?
I found out that 25x=9000 is the equation, and I see how those numbers were gotten. 55-30 is 25 and 300 times 30 is 9000 but I do not understand how 25 helps or what it stands for and what this equation is representing. Thanks for your help.
Click here to see answer by Alan3354(6059)  |
Question 190440: Dave averaged 30 miles per hour on his bike trip to a friend's house. His return trip took an hour longer, as he averaged 20 miles per hour. What was his one-way distance to his friends?
d = s * t
Click here to see answer by msaxby(1)  |
Question 190539: Two swimmers start out from opposite ends of a swimming pool(red side and blue side). They cross each other for the first time at line PQ, which is 21 yards from the red side and 29 yards from the blue side. They reach the opposite ends, turn around and cross again at line RS. Assuming that they both travel at constant speeds, how far is line RS from the blue side? The line RS is to the right of line PQ, which is 21 feet from the red side.
Click here to see answer by scott8148(3382)  |
Question 190584: Car agency A will rent a compact car for $40 per day and an additional charge of $0.20 per mile. Car rental agency B will charge only $0.16 per mile but charges $51 per day. Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by checkley75(3666) |
Question 190828: A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 22 miles. Find his speed.
I was trying to do this problem this way:
Distance
Rate
Time = Distance/Rate
cyclist travels away from home
17
x = speed?
17/x
cyclist returns home different route
22
x + 1
22/x+1
I know this is not correct and that I have to find the average rate. I also don't know the time.
Thank you in advance!
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 191229: Two ships leave a port at 9 A.M. One travels at a bearing of N 53* W at 12 miles per hour and the other travels at a bearing of S 67* W at 16 miles per hour. Approximate how far apart they are at noon that day.
Click here to see answer by Alan3354(6059) |
Question 191432: A motorboat at full throttle takes two hours longer to travel 75 miles against the current than it takes to travel the same distance with current. If the rate of the current is 5 mph, then what is the speed of the boat at full throttle in still water?
Click here to see answer by RAY100(1637) |
Question 191682: A diesel train traveled to Johannesburg and back. It took 9 hours longer to go there than it did to come back. The average speed on the trip there was 10 km/h. The average speed on the way back was 55 km/h. How many hours did trip there take.
Manish
Click here to see answer by ankor@dixie-net.com(6691) |
Question 191981This question is from textbook
: Cross-country cycling. Erin was traveling across the
desert on her bicycle. Before lunch she traveled 60 miles
(mi); after lunch she traveled 46 mi. She put in 1 hour
more after lunch than before lunch, but her speed was
4 mph slower than before. What was her speed before
lunch and after lunch?
I tried solving this problem by using the d=r(t) equation.
x=rate y=time
before lunch= 60/x=y
after lunch= 48/x-4=y+1
so I substituted 60/x for y
46/x-4=60/x +1
46x=60(x-4) +x(x-4)
46x= 60x-240+x^2-4x
46x=x^2+56x-240
0=x^2+10x-240
I plug this into the quadratic formula, and it doesn't work, any suggestions?
This question is from textbook
Click here to see answer by jim_thompson5910(13786) |
Question 191944This question is from textbook Elementary and Intermediate Algebra
: 106. Pole vaulting. In 1981 Vladimir Poliakov (USSR)
set a world record of 19 ft 3/4
in. for the pole vault
(www.polevault.com). To reach that height, Poliakov
obtained a speed of approximately 36 feet per second on
the runway. The formula h _ _16t2 _ 36t gives his
height t seconds after leaving the ground.
a) Use the formula to find the exact values of t for which
his height was 18 feet.
b) Use the accompanying graph to estimate the value of t
for which he was at his maximum height.
c) Approximately how long was he in the air?
This question is from textbook Elementary and Intermediate Algebra
Click here to see answer by Alan3354(6059) |
Question 192109: Two cars leave Charlotte at the same time and travel in opposite directions along I- 77. One car travels 14 miles per hour faster than the other car. After four hours they are 480 miles apart. What is the speed of the slower car?
Click here to see answer by checkley75(3666) |
Question 192044: suppose you are at a river resort and rent a motor boat for 5 hours starting at 7 am. You are told that the boat will travel at 8 mph upstream and 12 mph downstream. you decide that you want to go as far up the river as you can and still be back by noon. At what time should you turn back, and how far from the resort will you be at the time?
Click here to see answer by edjones(3291)  |
Question 192127: Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist?
Click here to see answer by ankor@dixie-net.com(6691) |
Question 192275This question is from textbook
: Tossing a Ball. A ball is tossed into the air at 10ft/sec from a height of 5 feet. How long does it take to reach the ground?
I really don't know even how to set this problem up. I just need the formula, and then I'm able to figure it out!!This question is from textbook
Click here to see answer by Alan3354(6059) |
Question 192637: Ruth was hauling a wide load out of Boston. At 4:00 a.m. she headed south from exit 129 at an average of 25 mph. Nadia headed south from the same exit at 11:00 a.m. in her Toyota. By 5:00 p.m. the same day Nadia was 17 miles ahead of Ruth. what was Nadia's average speed?
Okay, so I have NO idea how to do this. what times do I use? My teacher has my class use the whole D=RT formula, but since there are two people and one is ahead of the other how do I work this out?
Please and thank you,
Christina
Click here to see answer by Edwin McCravy(2920) |
Question 192839: A bus traveled on a straight road for 2 hours at an average speed that was 20 mph faster than its average speed on a winding road.The time spent on the winding road was 3 hours. Find the average speed on the winding if the total trip was 210 miles.
Click here to see answer by josmiceli(3003) |
Question 192875: An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.
Click here to see answer by stanbon(26252) |
Question 192910: A car traveling at 80 kilmeters per hour is passed by a second car going in the same direction at a constant speed. After 30 seconds, the two cars are 500 meters apart. Find the speed of the second car.
Click here to see answer by RAY100(1637) |
Question 192772: Show a complete solution to problem.
Junior's boat will go 15 miles per hour in stillwater. 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?
Click here to see answer by edjones(3291) |
Question 192962: Please help me with this problem. The directions from my professor are as follows: Using an experience or example of when you were close to the beach, or on a cliff, in a house, in a hotel room, etc., estimate how high above sea level you were and solve to see how far out you would be able to see a boat.
The following is my problem: I am climbing duns river fall in Jamaica, which is 144 feet. There is a pool, directly at the bottom of the waterfall. I want to know how far the pool is from the top of the waterfall.
Use the formula: d = sqrt[3h/2], where d is the distance in miles and h is the height in feet.
Click here to see answer by stanbon(26252) |
Question 192838: An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire distance was 150 miles.The entire trip took three hours. Find the distance from the airport to the corporate offices.
Click here to see answer by bhayzone(8) |
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