Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1174394: A truck enters a highway driving 60 mph. A car enters the highway at the same place 5 minutes later and drives 70 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
Click here to see answer by ikleyn(52754)  |
Question 1174501: A large bottle rocket is fired and launches into the air. It follows the path s(t) = t 3 + 5t where s(t) is in meters and t is in seconds.
(a) We know that at 3 seconds the rocket is 42 feet in the air. This gives us the point (3,42). Using this point, we want to estimate the rocket's velocity. Fill out the table below, which will give us the slope of secant lines as we approaching t = 3. Clearly show your work for finding msec
t = s (t) = msec
3.1 = ? =?
3.0 = ? =?
2.99 = ? =?
(b) Using the table above, what would you predict the velocity of the rocket to be at 3 seconds?
Click here to see answer by Boreal(15235)  |
Question 1174878: A bus travels between towns A and B. It travels half the distance between A and B at 40 mph, and the rest of the distance at 50 mph. On the return trip, the bus travels for the first 2 hours at 35 mph, and the rest of the time at 40 mph. What is the distance between A and B, if the trip from B to A is an hour longer than the trip from A to B?
Click here to see answer by math_tutor2020(3816) |
Question 1174878: A bus travels between towns A and B. It travels half the distance between A and B at 40 mph, and the rest of the distance at 50 mph. On the return trip, the bus travels for the first 2 hours at 35 mph, and the rest of the time at 40 mph. What is the distance between A and B, if the trip from B to A is an hour longer than the trip from A to B?
Click here to see answer by MathTherapy(10549)  |
Question 1174923: A person drives a car around a circular cloverleaf with a radius of 67 m at a uniform speed of 10 m/s.
(a) What is the acceleration of the car?
m/s2
(b) Compare this answer with the acceleration due to gravity as a percentage.
%
Would you be able to sense the car's acceleration if you were riding in it?
Click here to see answer by ikleyn(52754)  |
Question 1175161: Sheldon often rides a taxi from one place to another. The standard fare in riding a taxi is Php 40 as a flag-down rate plus Php 3.50 for every 200 meters or a fraction of it.
Complete the table below:
Distance
(in meters)
x
0
200
400
600
800
1000
Amount
(in Php)
y
Questions:
What is the dependent variable? ______________________________________
What is the independent variable? _____________________________________
Based on the completed table, would the relation represent a line? ___________
What is the y-intercept? ___________
What is the slope? ___________
Write the linear function and answer the following questions.
If Sheldon rides a taxi from his workplace to the post office with an approximate distance of 600 meters, how much will he pay? ___________
If he rides a taxi from his residence to an airport with an approximate distance of 6 kilometers, how much will he pay? ___________________
If Sheldon pays Php 68, how many kilometers did he travel? _________
How about Php 75? _______ Php 89? _________ Php 92.50? _________
7. Write the equation of the line in the form Ax + By = C using your answer in number 6. ___________________
8. Draw the graph of the equation you have formulated in item 7. (You may use desmos application)
Click here to see answer by ikleyn(52754)  |
Question 1175161: Sheldon often rides a taxi from one place to another. The standard fare in riding a taxi is Php 40 as a flag-down rate plus Php 3.50 for every 200 meters or a fraction of it.
Complete the table below:
Distance
(in meters)
x
0
200
400
600
800
1000
Amount
(in Php)
y
Questions:
What is the dependent variable? ______________________________________
What is the independent variable? _____________________________________
Based on the completed table, would the relation represent a line? ___________
What is the y-intercept? ___________
What is the slope? ___________
Write the linear function and answer the following questions.
If Sheldon rides a taxi from his workplace to the post office with an approximate distance of 600 meters, how much will he pay? ___________
If he rides a taxi from his residence to an airport with an approximate distance of 6 kilometers, how much will he pay? ___________________
If Sheldon pays Php 68, how many kilometers did he travel? _________
How about Php 75? _______ Php 89? _________ Php 92.50? _________
7. Write the equation of the line in the form Ax + By = C using your answer in number 6. ___________________
8. Draw the graph of the equation you have formulated in item 7. (You may use desmos application)
Click here to see answer by josgarithmetic(39613) |
Question 1175198: 1. Arlene and Lito are travelling north in separate cars on the same highway. Arlene is travelling at 65kph and Lito at 75kph. Arlene passes Dau exit at 2:30 PM and Lito passes the same exit at 2:45PM. At what time will lito catch up to Arlene?
2. A car travelling at an average speed of 55 kilometer per hour leaves town A for town B, a distance of 120 kilometers. At the same time, another car, travelling on the same highway at an average speed of 45kilometer per hour leaves town B for town A. In how many hours will they meet? How far from town A will they meet?
Click here to see answer by Boreal(15235)  |
Question 1175234: Two planes leave the same airport at the same time and travel in opposite directions. After 1.5 hours, they are 748.5 kilometers apart. The rate of the faster plane is 5 kph less than thrice that of the slower plane. Find the rate of each plane
Click here to see answer by ikleyn(52754)  |
Question 1175266: An object dropped from a height of 600 feet has a height h(t) after t seconds given by h(t) = 600 − 16t². Express t as a function of height h and find the time it takes to reach a height of 400 feet. Be sure to include a graph of h(t) and your new function, and use this graph to explain how you know your answer is correct. You may use graphing calculator to make this graph.
I really need a more detailed explanation in words too, I'd really appreciate this!!!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1175351: It's 90 miles from Ayville to Beeville. It's another 195 miles from Beeville to Charleston. Chad drives 20 miles per hour faster from Beeville to Charleston than from Ayville to Beeville. If his combined travel time is 5 hours, what are his average speeds?
Speed from Ayville to Beeville:?
Speed from Beeville to Charleston:?
Click here to see answer by josgarithmetic(39613) |
Question 1175351: It's 90 miles from Ayville to Beeville. It's another 195 miles from Beeville to Charleston. Chad drives 20 miles per hour faster from Beeville to Charleston than from Ayville to Beeville. If his combined travel time is 5 hours, what are his average speeds?
Speed from Ayville to Beeville:?
Speed from Beeville to Charleston:?
Click here to see answer by ikleyn(52754)  |
Question 1175416: A passenger train leaves a train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 10 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 3 hours.
Click here to see answer by VFBundy(438)  |
Question 1175326: Car A moving at a constant velocity of 30.861 mph passes a gasoline station. Three seconds later, Car B leaves the gasoline station and accelerates at a constant rate of 6ft/ What is the time of Car B to overtakes Car A.
Click here to see answer by VFBundy(438)  |
Question 1175326: Car A moving at a constant velocity of 30.861 mph passes a gasoline station. Three seconds later, Car B leaves the gasoline station and accelerates at a constant rate of 6ft/ What is the time of Car B to overtakes Car A.
Click here to see answer by ikleyn(52754)  |
Question 1175428: Jim began a 121-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 5 miles per hour and rides at 31 miles per hour, find the amount of time he spent on the bicycle.
Click here to see answer by ikleyn(52754)  |
Question 1175429: Sarah Meeham blends coffee for tasty-delight. she needs to prepare 130 pounds of blended coffee beans selling for $5.38 per pound. she plans to do this by blending together a high-quality bean costing $6.25 per pound and a cheaper bean at $2.50 per pound. to the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.
Click here to see answer by ikleyn(52754)  |
Question 1175653: can you help me:a jet left New York and play towards Las Vegas at an average speed of 168 miles per hour an Air Force plane left 3 hours later and flew in the same direction but with an average speed of 240 miles per hour. how long did the jet fly before the air force plane caught up? Please and thank you.
Click here to see answer by greenestamps(13195)  |
Question 1175717: A car travels at an average speed of 60 km/h from town A to town B .if the car travels at an average speed of 72 km/h instead ,it would reach Town B 15 minutes earlier .calculate the distance between town A and town B
Click here to see answer by ikleyn(52754)  |
Question 1175834: Two vacationing families leave San Francisco at the same time. They take 28 and 6 days, respectively, to reach their destination and return to San Francisco. The vacationing families each take continuous trips to and from San Francisco. How many days will pass before the two vacationing families leave San Francisco on the same day again?
Click here to see answer by ikleyn(52754)  |
Question 1176010: Peter travels from his place to his uncle house a distance of 30km.He cycles for two thirds of the journey before walking for the rest of the journey. If his cycling speed is 10km/hr more than the walking speed and the whole journey took him 3hrs 20 minutes, calculate his cycling speed.
Click here to see answer by ikleyn(52754)  |
Question 1176183: a rapist escapes and board on a truck and travelled at a constant speed of 55 kph. Two hours later after the truck left, a policeman riding on a motorbike pursue the fugitive at a constant speed 80 kph. How did it take the policeman to apprehend the criminal?
Click here to see answer by Alan3354(69443)  |
Question 1176248: Jhon and Sam have a lawn mowing service. At one home, Jhon can mow the lawn by himself in 1 hours, but it takes Sam 1.5 hours. How many hours t will it take them to mow the same lawn together? Give the answer correct to one decimal place.
Click here to see answer by ikleyn(52754)  |
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