SOLUTION: A man covers a distance of 200km travelling with a uniform speed of x km per hour. The distance could have been covered in 2 hours less, had the speed been(x+5)km per hour.Calculat

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A man covers a distance of 200km travelling with a uniform speed of x km per hour. The distance could have been covered in 2 hours less, had the speed been(x+5)km per hour.Calculat      Log On


   



Question 1053933: A man covers a distance of 200km travelling with a uniform speed of x km per hour. The distance could have been covered in 2 hours less, had the speed been(x+5)km per hour.Calculate the value of x.
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Constant Travel Rate Rule, RT=D
                    SPEED        TIME       DISTANCE
REAL                 x            t           200
HYPTOTHETICAL       x+5          t-2          200

Make the system of equations and solve.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A man covers a distance of 200km travelling with a uniform speed of x km per hour. The distance could have been covered in 2 hours less, had the speed been(x+5)km per hour.Calculate the value of x.
Actual time taken to cover distance: 200%2Fx
Time it would've taken at a speed of x + 5: 200%2F%28x+%2B+5%29
We then get the following TIME equation: 200%2Fx+=+200%2F%28x+%2B+5%29+%2B+2
Solve this to get a speed, or x of: highlight_green%28matrix%281%2C2%2C+20%2C+%22km%2Fh%22%29%29
You will NEVER get the correct answer if you follow the other person's setup, as is usually the case.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
For solution of similar problems see the lesson
    - Had a car move faster it would arrive quicker
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Travel and Distance problems".

Read the lessons under this topic. It is interesting and useful reading for you!