Find the distance of the journey, Mathematics

A train covered a certain distance at a uniform speed.  If the train would have been 6km/hr faster, it would have taken 4hours less than the scheduled time.   And if the train were slower by 6km/hr, it would have taken 6 hours more than the scheduled time. Find the distance of the journey.

Ans:    Let the speed of the train by x km/hr

And the time taken by it by y

Now distance traveled by it is x x y = xy

APQ:

I--- (x + 6) (y - 4) = xy

4x - 6y = -24

=> 2x - 3y = -12 ----------------(1) II--- (x - 6) (y+ 6) = xy

6x - 6y= 36

=> x- y= 6      ----------------(2) Solving for x and y we get y = 24,  x = 30

So the distance       =30 × 24

= 720 km

Posted Date: 4/8/2013 2:39:22 AM | Location : United States







Related Discussions:- Find the distance of the journey, Assignment Help, Ask Question on Find the distance of the journey, Get Answer, Expert's Help, Find the distance of the journey Discussions

Write discussion on Find the distance of the journey
Your posts are moderated
Related Questions

Steps for Radio test Assume we have the series ∑a n Define, Then, a. If L b. If L>1 the series is divergent. c. If L = 1 the series might be divergent, this i

write in factor form 9x3+9x5

Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤)  has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po

Consider the following system of linear equations. X 1 +x 3 +x 4 = 2 X 1 +x 2 +x 3 = 6 X 2 +x 3 +x 4 = 3 X 1 +x 2 +x 4 = 0  (a) Write out the augmented matrix fo

x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2