Evaluate distance traveled by train, Mathematics

Assignment Help:

Evaluate distance traveled by train:

A plane flying at 525 miles per hour completes a trip in 2 hours less than another plane flying at 350 miles per hour.  What is the distance travelled?

Solution:

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

Step 2. Then, using Equation 14,

x/525 = Time Taken by Faster Plane (in hours)

x/350 = Time Taken by slower Plane (in hours)

Step 3. Time Taken by Faster Plane = Time Taken by Slower Plane - 2 hours

x/ 525 hours = x/350 hours -2 hours

x/525 = x/ 350 -700/350

x/525 = x-700/ 350

(350)(525) (x/525) = (x - 700/ 350) (350)(525)

350x = 525. (x - 700)

350x = 525x - 367,500

350x - 525x = -367,500

-175x = -367,5000

-175x /-175 = -367,500/-175

x = 2100 miles

Solving for the other unknowns:

x/525 = Time Taken by faster plane (in hours)

x/525 = 2100/525

x/525 = 4 hours

x/350 = time Taken by slower Plane (in hours)

x/350  = 2100/350

x/350 = 6 hours

Answers:       

Distance Travelled = 2100 miles

Time Taken by Faster Plane = 4 hours

Time Taken by Slower Plane = 6 hours

Step 5. The faster plane takes 2 hours less to complete the trip than the slower plane.

6 hours - 2 hours = 4 hours

Thus, the answer checks. 


Related Discussions:- Evaluate distance traveled by train

Definition of a function, Definition of a Function Now we need to move...

Definition of a Function Now we need to move into the second topic of this chapter.  Before we do that however we must look a quick definition taken care of.

Give an example of numerator and denominator, Give an example of Numerator ...

Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and

Find the generating function, Find the generating function for the number o...

Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}          Ans:  Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte

Which of the following sets are equal, Which of the following sets are equa...

Which of the following sets are equal? S 1 = {1, 2, 2, 3}, S 2 = {x | x 2 - 2x + 1 = 0}, S 3 = {1, 2, 3}, S 4 = {x | x 3 - 6x

Geometry , solve for x and y 2x+3y=12 and 30x+11y=112

solve for x and y 2x+3y=12 and 30x+11y=112

Find the probability, Q. Suppose Jessica has 10 pairs of shorts and 5 pair...

Q. Suppose Jessica has 10 pairs of shorts and 5 pairs of jeans in her drawer. How many ways could she pick out something to wear for the day? What is the probability that she pick

Evaluating functions, Next we have to talk about evaluating functions.  Eva...

Next we have to talk about evaluating functions.  Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at

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