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

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Simplex table, maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0

Boundary value problem, solve the in-homogenous problem where A and b are c...

solve the in-homogenous problem where A and b are constants on 0 ut=uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

Determine the line parallel or perpendicular, Determine if the line that pa...

Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified  by 7 y - 9 x = 15 . Solution Togive

Transportation and assignment problem, what is transportation and assignmen...

what is transportation and assignment problem. give the computer application of transportation and assignment problem

Multiplication of complex numbers, Multiplication of complex numbers: ...

Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) =  Solution: (4 + 3i) + (8 - 2i) - (7 + 3i

Proof of constant times a function, Proof of Constant Times a Function: ...

Proof of Constant Times a Function: (cf(x))′ = cf ′(x) It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. No

theoretical minimum number of stations, A company is setting up an assembl...

A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a)      What cycle tim

Functions, the function g is defined as g:x 7-4x find the number k such tha...

the function g is defined as g:x 7-4x find the number k such that kf(-8)=f- 3/2

Shortcuts, pls told the maths shortcuts

pls told the maths shortcuts

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