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
Tammi's latest printer can print 13.5 pages a minute. How many pages can it print in 4 minutes? Multiply 13.5 by 4 to ?nd out the number of copies made; 13.5 × 4 = 54 copies.

what is skimming pricing?

Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Ans : 3768cu.cm,1318.8

Launching a new product (Blackberry Cube) Analysis (target market) Product features Promotions and advertisement sample design (location)

compare 643,251 633,512 and 633.893 the answer is 633.512 what is the question

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

Decision-Making Under Conditions of Uncertainty With decision making under uncertainty, the decision maker is aware of different possible states of nature, but has insufficient

Solve the linear equation: The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A.  Solve this equat

Draw the graph of y=x^2-4x from x=-1 to x=5.use the scale of 2cm on the x axis and 1cm on the y axis.Estimate the gradient at point:x=4, x=2 and x=0