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

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Question 198673: 6. For a holiday party, Marcus is making a six-layer torte, which consists of six 9-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 60 square inches of cake. How many batches of the topping must he make to complete his torte? (Use п = 3.14 as an approximate value)
Click here to see answer by jojo14344(1512)

Question 198683: Hello can some help me with Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart? what i did was divide 55 by 180 and i recieved 3.27 then i divided 65 by 180 and i revieved 2.769. I got stuck after that i would really appreciate the help.
Click here to see answer by jojo14344(1512)

Question 198682: Lisa was hauling a wide load out of Boston. At 8:00 a.m. she headed west from exit 43 at and average speed of 35 mph. Victor headed west from the same exit at 11 a.m. in his infinity. By 2 p.m. the same day Victor was 15 miles ahead of Lisa. What was Victor's average speed?
At noon the horse and buggy headed noth at 10 mph. Two hours later, the roadster headed south from the same location at 30 mph. At what time will the horse and buggy be 100 miles from the roadster?

Click here to see answer by jojo14344(1512)

Question 198831: Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same and averaged 30mph. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning?
Click here to see answer by arallie(162)

Question 198870: At a speed of 45 miles per hour, how many minutes will it take to drive in 40 minutes?
Click here to see answer by solver91311(16868)

Question 198872: if a car driven 45 miles on 2 gallons of gas, how many gallons of gas will it take to travel 315 miles?
Click here to see answer by jim_thompson5910(28476)

Question 198873: at a speed of 45 mph, how many minutes will it take to travel 40 miles?
Click here to see answer by jim_thompson5910(28476)

Question 198883: A man travels from Town x to town y at an average rate of 50mph and returns at an average rate of 40pmh. he takes 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. What is the distance from town x to town y.
Click here to see answer by ankor@dixie-net.com(15624)

Question 198911: town a and town b are exactly 50 miles apart.if u travle at an average of 60 mph how long would it take for the car to reach town b?
Click here to see answer by solver91311(16868)

Question 198924: I need someone to check my answer on the word problem below. Thank you in advance for helping!
A weather plane has 6 hours of fuel with which to fly as far out to sea as possible and still have enough fuel to return safely. Find the maximum distance that the plane can reach and return safely if the speed going out is 120 mph. and the speed returning is 160 mph.
120t = 160(6-t)
120t = 960 - 160t
280t = 960
t = 3.428571
Click here to see answer by vleith(2825)

Question 199039: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2h later, at what average speed is each cyclist traveling?
Click here to see answer by checkley75(3666)

Question 199038: Wendy took a trip from Davenport to Omaha, a distance of 300 mi. 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 40mi/h and the train 60mi/h. The entire trip took 5 1/2h. How long did Wendy spend on the train?
Click here to see answer by RAY100(1637)

Question 199036: Betty and karen have been hired to paint the houses in a new development. Working together the women can paint a house in two thirds the time that it takes karen working alone. Betty takes 6 hours to paint a house alone. How long does it take karen to paint a house working alone?
Click here to see answer by nerdybill(6948)

Question 198981: The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of forty-five mph. At what rate must she return if the total travel time is three hours and forty minutes?
Click here to see answer by ankor@dixie-net.com(15624)

Question 199088: If I am travelling in a car at 63 miles per hour how much distance do I cover in 2 seconds or in 1.5 seconds?
Click here to see answer by nerdybill(6948)

Question 199154: A train 1000 m long travels through a 3000 m tunnel. If 30 seconds elapse from the time the last car enters the tunnel until the time when the engine emerges from the other end, the speed of the train, in meters per second, is:
a 100/3 b 200/3 c 100 d 1000 e None of these
Click here to see answer by rfer(12645)

Question 199292: DISTANCE, SPEED,AND TIME: It took a crew 2 hours 40mins. to row 6km upstream and back again. If the rate of flow of the stream was 3km/h, what was the rowing speed of the crew in still water?
Click here to see answer by rfer(12645)

Question 199340: Fred paddled for 5 hours with a 6km/hr current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of Fred's canoe in still water.
Click here to see answer by RAY100(1637)

Question 199336: DISTANCE, SPEED, AND TIME: It took a crew two hours and 40mins. to row 6km upstream and back again. If the rate of flow of the stream was 3km/h, what was the rowing speed of the crew in still water?
Click here to see answer by solver91311(16868)

Question 199398: IF A CAR IS TRAVELING AT 30 MPH, HOW LONG WILL IT TAKE TO DRIVE 1 MILE?
Click here to see answer by solver91311(16868)

Question 199463: Fred paddled for 3 hours with a 5 km/hr current to reach a campsite. The return trip against the same current took 10 hr. Find the speed of Freds canoe in still water.
Click here to see answer by checkley77(12569)

Question 199540: An airplane flying with a tailwind takes 8 hours to fly a distance of 1,600miles. If the return trip, against the wind takes 10 hours, find the speed of the plane and wind.
Click here to see answer by rfer(12645)

Question 199579: can you please explain this clearly i need to unserstand this for my final!!
thank you!!
a jet ski can go 12 mph in still water.if a rider goes upstream for 5 hours against a current of 5 mph how long will it take for thee rider to return?

Click here to see answer by rfer(12645)

Question 199613: John and Mike have been friends since high school but haven't seen each other in many years, so they agree to meet one Saturday. John leaves his house at 10:00 and drives east at 50 miles per hour. Mike leaves his house at the same time and drives west at 45 miles per hour. If their houses are connected by a straight hignway running east-west (no stoplights or towns in the way) and are 350 miles apart then (a) how far from John's house will they meet? (b) at what time wil they meet?
Click here to see answer by rfer(12645)

Question 199619: I had an algebra test this morning and I am still trying to figure out this problem. I'm sure it is not near as hard as I am making it. The problem read: Bob leaves the camp at 3:00 paddling downstream at 4mph (stillwater) with a 2mph current. Joe leaves the camp at 4:30 paddling downstream twice as fast as Bob (the water is flowing at the same rate). What time will Bob and Joe meet?
Click here to see answer by ankor@dixie-net.com(15624)

Question 199647: Do exponential functions only model phenomena that grows or can they also model phenomena that decay?
Click here to see answer by rfer(12645)

Question 199481: Paddling for 4 hrs with a 6 km/hr current and a return trip against the same current took 10 hr. What is the speed in still water.
Click here to see answer by ankor@dixie-net.com(15624)

Question 199675: I keep getting a negative answer so I'm not doing something right.
On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an average speed of 100 kilometers per hour. The salesperson needs to arrive at the destination in another hour and 20 minutes. Find the average speed required for the remainder of the trip.
Click here to see answer by nerdybill(6948)

Question 199712: An airplane flew for 4 hours against a head wind of 40 km/h. On the return flight the same wind was a tail wind, and the flight took 3 hours. Find the speed of the airplane in still air.
Click here to see answer by tutorvolunteer(9)

Question 199791: You drive to the mailbox down the road at 35 mph, slip a letter in, turn around, and drive back at 25 mph. What is your average speed? (Note that it is not 30 mph, and you do not need to know the distance.) I tried this but don't know where I am going wrong.
T (going)= D/35
and for the return trip
T(returning) = D/25
The total time for the trip is T(going) +T(returning) = D/35 + D/25 and you can find the average speed by dividing the total distance 2*D, by the total time:
V(average) = 2D/(D/35+D/25)
V(average)= 1/(1/35 + 1/25)

V(average)= (1*60/1)/(1/60*60/1)
V(average)= 60 mph I know this answer is wrong. It doesn't make sense that it should be the combined speeds.
Click here to see answer by Alan3354(30965)

Question 199978: Mike can run the mile in 6 minutes and Dan can run the mile in 9 minutes. If Mike gives Dan a headstart of 1 minute, how far from the start will Mike pass Dan? How long does it take?
Click here to see answer by ankor@dixie-net.com(15624)

Question 200032: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and train B is traveling at 44 mph. Train A passes a station at 5:10 PM. If train B passes the same stations at 5:40 PM, what time will train B catch up with train A?
Click here to see answer by ankor@dixie-net.com(15624)

Question 200033: Soybean meal is 14% protien. Cornmeal is 7% protien. How many pound of each should be mixed together in order to get a 280 lb mixture that is 13% protien?
Click here to see answer by ankor@dixie-net.com(15624)

Question 200086: A search plan has a cruising speed of 250 mph and carries enough fuel for at most 5 hrs of flying. If there is a wind that averages 30 mph and the direction of search is with the wind one way and against it the other, how far can the plane travel before it has to turn back?
Click here to see answer by ankor@dixie-net.com(15624)

Question 200208: a boat traveled 100 miles downstream and back. the trip downstream took 5 hoours. the trip back took 25 hours. what is the speed of the boat in still water? what is the speed of the current?
Click here to see answer by rfer(12645)

Question 200494: Avoiding a collision. A car is traveling on a road that
is perpendicular to a railroad track. When the car is
30 meters from the crossing, the car’s new collision
detector warns the driver that there is a train 50 meters
from the car and heading toward the same crossing. How
far is the train from the crossing?
Click here to see answer by nerdybill(6948)

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