Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 501008: Hi!
I am sorry if this kind of question has been asked often before, but I just couldnt figure out how to solve and I would be so thankful if anyone could tell how to solve this mathematically. Thanks so much in advance!
"Through a combination of sight, sound, and smell a rabbit can detect a fox at 42 yards. When the rabbit detects the fox, it runs immediately straight to its hole. If the fox can run twice as fast as the rabbit, what is the maximum distance from its hole that a rabbit can safely venture? Assume that the rabbit escapes if they arrive at the hole at the same time."
Kind regards
Fube
Click here to see answer by MathTherapy(1424)  |
Question 636731: A rod has a weight of 45 pounds attached to one end, a weight of 65 pounds to the other. It balances at a point 8 inches from the middle. How long is it? (Assume that the rod itself is weightless.)
Click here to see answer by sachi(392)  |
Question 636753: I cant seem to figuere out the answer to this question and was wondering if you guys can help me. Im not completely stumped but here is the question and here is how much i have.
A boat cruises 36mi against a 3mph current and 36 mi back in the direction of the same current. The round trip takes 5 hours what is the speed of the boat in still water?
speed of boat against stream x-3
speed of boat with stream x+3
however i think my equation is wrong.
I end up with something like this?
36/x-3 = 5 but im not sure what i should be doing about the other side of the equation.
Click here to see answer by ewatrrr(10682)  |
Question 636790: Victor traveled from Tucson to Boston at 60 mph. Wanda traveled from Boston to Tucson and made the trip in four hours less than victor but by traveling at 65 mph. Find the distance between Boston and Tucson.
Click here to see answer by stanbon(57347) |
Question 636755: Wendy took a trip from devenport to ohama, a distance of 300mi. she traveled part of the way by bus, which arrived at the train station just in time for Wendy to complete her journey by train. the bus averaged 40 mi/h and the train 60 mi/h. the entire trip took 5 1/2 h. how long did Wendy spend on the train?
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 636806: Jeff starts driving at 55mph from the same point lauren starts driving at 70mph. They drive in the opposite directions and Lauren has a half hour head start. How long will they be able to talk on their cellphones that have a 280 mile range?
The answers we have to chose from are in form of a fraction with a whole number.
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 636835: A river boat's speed is 5 kilometers/hour on standing water when it is charged and 15 kilometers an hour on standing water when it is empty. The boat sets sail charged up the river (against the current) to a distance of 81 kilometers. It returns (against the current) empty. The total sailing time there and back, including 3 hours of docking for unloading the cargo, is 48 hours. What is the speed of the current?
I have no clue how to do this problem, and never did a problem like this before. Thanks for all the help, I really appreciate it!
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 636847: The distance between train station A and train station B is 180 kilometers. Train station C is between station A and station B, and is located 30 kilometers away from station A. At 7 AM, a freight train left from station A to station B and at 8 AM, a passenger train left from station C to station B. The speed of the passenger train is 30 km/hour greater than the freight train.
The passenger train arrived to station B 20 minutes earlier than the freight train arrived to station B.
What is the speed of the freight train?
Thanks so much for your time! :)
Click here to see answer by stanbon(57347) |
Question 636832: The distance between city A and B is 90 kilometers. At the same time, a car and a motorcycle left from city A to city B. The motorcycle drove at a constant speed the entire drive and the car passed 1/3 of the drive 30 kilometers per hour faster than the motorcycle's speed, stopped for half an hour, and then continued the drive at a speed 20% slower than the speed driven in the first 1/3 of the drive. The car arrived 15 minutes before the motorcycle to city B (they drove the same distance). What was the speed of the motorcycle?
This is supposed to be easy, I just keep messing up somewhere.
I know Distance=Speed*Time
The motorcycle's speed is x, and the time is 90/x (because the distance is 90)
The car's speed is x+30, and the time is 30/x+30 (because 1/3 of 90 is 30)
Then the speed is .80(x+30) and the time is 60/.8x+24 (the remaining distance being 60 km)
but the car stopped for half an hour, and then arrived 15 minutes before the motorcycle, so I only add 1/4 of an hour to the time in the second equation..
After this step I keep getting stuck... Could you please help me finish?
Thanks so much! I don't know what I would do without your help!
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 636846: At 8:00 AM a freight car left from city A to city B carrying citrus fruits. At the same time, a bike rider left from city B to city A. The freight car's speed was 32 km/hour greater than the bike rider.
They drove the same trail and their speeds were constant. The freight car arrived to city B, waited there for 1/4 of an hour, and then started driving back to city A. On the way back, the car met the bike rider 38 kilometers away from from city A. The distance between the two cities is 64 kilometers. What was the speed of the bike rider?
Thanks so much for your time! I really appreciate it!
Click here to see answer by ankor@dixie-net.com(15652)  |
Question 637048: a plane traveled 1386 miles to singapore and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. the trip back took 11 hours. Find the speed of the plane in still air and the speed of the wind.
Click here to see answer by josmiceli(9678)  |
Question 637086: Keith rented a truck for one day. There was a base fee of $15.95, and there was an additional charge of 73 cents for each mile driven. Keith had to pay $173.63 when he returned the truck. For how many miles did he drive the truck?
Click here to see answer by checkley79(3050) |
Question 637342: The traveling time is 25 minutes shorter if you higher the average speed by 5
km/hour. Raising the average speed by another 5 km/hour lowers the traveling
time by another 20 minutes. What is the distance of the trail?
Click here to see answer by Stitch(352) |
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