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

Changing the base of the index, Changing The Base Of The Index For com...

Changing The Base Of The Index For comparison reasons if two series have different base years, this is difficult to compare them directly. In such cases, it is essential to ch

Determine the optimal strategy, On a picnic outing, 2 two-person teams are ...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two peoples of the hiding team can hideseparately in any

Profit and loss, A man sold an item for Rs 6,750 at a loss 25%. What will b...

A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?

Rocks and minerals, question..how do u understand thr rock cycle

question..how do u understand thr rock cycle

Example of probability, Example of Probability: Example: By using...

Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of

To calculate volume of cylinder which formula is used, Mimi is filling a te...

Mimi is filling a tennis ball can along with water. She wants to know the volume of the cylinder shaped can. Which formula will she use? The volume of a cylinder is π times the

Polynomials, give an example of a binomial of degree 27?

give an example of a binomial of degree 27?

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