Distance traveled by car - word problem, Mathematics

Assignment Help:

Distance Traveled by Car - word problem:

It takes a man 4 hours to reach a destination 1325 miles from his home. He drives to the airport at an average speed of 50 miles per hour, and the average speed of his plane trip is 500 miles per hour.   How far does he travel by each mode of transportation?

Solution:

Step 1. Let x = Distance Traveled by Car (in miles)

Step 2. Then,

1325 - x = Distance Traveled by Plane (in miles)

and, using Equation 2-14,

x/50 = Time Traveled by car (in hours)

1325 - x/ 500 = Time Traveled by Plane (in hours)

Step 3. Total Time = (Time Traveled by Car) + (Time Traveled by Plane)

4 hours = x/50 hours + 1325 - x/500 hours

Step 4. Solving for x:

4 = x/50 + 1325 - x / 500

4 = 10x + 1325 -x/ 500

(500)4 = 9x + 1325 /500 (500)

2000 = 9x + 1325

2000 - 1325 = 9x

685 = 9x

9x /9 = 675/9

x = 75 miles

Solving for the other unknowns:

x/50 = Time Traveled by Car (in hours)

x/50 = 75 /50

x/50 = 1 ½  hours

1325 - x/500 = Time Traveled by plane (in hours)

1325 - x/500 = 1324 - 75 /500

1325 - x /500 = 1250/500 = 2 ½  hours

1325 - x = Distance Traveled by Plane (in miles)

1325 - x = 1325 -75

1325 - x = 1250 miles

Answers:       

Distance Traveled by Car = 75 miles

Distance Traveled by Plane = 1250 miles

Step 5. The total distance traveled is 1325 miles.

75 miles + 1250 miles = 1325 miles

The average speed via car is 50 miles per hour.

75 miles/1 ½ hours = 50miles per hour

The average speed via plane is 500 miles per hour.

1250 miles/2 ½ hours = 500 miles per hour

The total time traveling is 4 hours.

1½ hours + 2½ hours = 4 hours

Therefore, the answers check.


Related Discussions:- Distance traveled by car - word problem

Sketch the graph of h (t ) = 1 - 5e 1/(t/2), Sketch the graph of h (t ) = ...

Sketch the graph of h (t ) = 1 - 5e  1/(t/2) Solution : Let's primary get a table of values for this function. Following is the sketch. The major point behin

NUMERABILITY, AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROC...

AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROCEDURES (-)(+)(x)(div) BETWEEN EACH NUMBER TO COME UP WITH 8 ?sk question #Minimum 100 words accepted#

TRIGONOMETRY, EXPLAIN ME ABOUT ITS FUNCTIONS.

EXPLAIN ME ABOUT ITS FUNCTIONS.

Probability of independent events, Q. Probability of Independent Events? ...

Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

Algebra, (x+15)/y=10 where y=5

(x+15)/y=10 where y=5

+, what is 2+2=

what is 2+2=

Systems of equations, Since we are going to be working almost exclusively a...

Since we are going to be working almost exclusively along with systems of equations wherein the number of unknowns equals the number of equations we will confine our review to thes

Determine the displacement, Example: A 16 lb object stretches a spring 8/9...

Example: A 16 lb object stretches a spring 8/9 ft by itself. Here is no damping as well as no external forces acting on the system. The spring is firstly displaced 6 inches upward

Using calculus method, Sheldon as the day for the challenge gets closer wan...

Sheldon as the day for the challenge gets closer wants to enter the race. Not being content with an equal start, he wants to handicap himself by giving the other yachts a head star

General math, Kwai made 5 pints of iced tea. How many cups of tea did he ma...

Kwai made 5 pints of iced tea. How many cups of tea did he make?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd