Find the distance of the journey, Mathematics

Assignment Help:

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


Related Discussions:- Find the distance of the journey

Factors, What are the factors of 956

What are the factors of 956

Algebra 1, how do you factor a trinomial into a binomial ?

how do you factor a trinomial into a binomial ?

MATLAB, program of curve revolve and create a surface

program of curve revolve and create a surface

Geometry, #question.prove that the diagonals of a trapezium divide each oth...

#question.prove that the diagonals of a trapezium divide each other proportionally .

Factorization of expressions, Above we have seen that (2x 2 - x + 3)...

Above we have seen that (2x 2 - x + 3) and (3x 3 + x 2 - 2x - 5) are the factors of 6x 5 - x 4 + 4x 3 - 5x 2 - x - 15. In this case we are able to find one facto

Algebra function., problem to understand an problem; f(X-2)=X+3 / X-4

problem to understand an problem; f(X-2)=X+3 / X-4

#change of ratio, #in a picnic the ratio of boys to girls is 3:4. when 6 bo...

#in a picnic the ratio of boys to girls is 3:4. when 6 boys joined the group the ratio became even. how many boys were there before? how many children were there before? how many b

Definition of higher order derivatives, Higher Order Derivatives : Le...

Higher Order Derivatives : Let's begin this section with the given function.                            f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a

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