A truck with a mass of 20t has a tractive resistance of 280N/t if the truck travels at a speed 72km/h. Calculate the following. a) The distance 36s. b) The power required for the speed.

5 answers

same as you do with ordinary numeric fractions. Find a common denominator and use that to combine them.

(x-2)/(x+3) + (2x-7)/(x-5) - 3/(x-2)

Common denominator is (x+3)(x-5)(x-2). So, now you can multiply each term by the needed factors:

(x-2)(x-5)(x-2) + (2x-7)(x+3)(x-2) - 3(x+3)(x-5)
------------------------------------------------------------------------------
               (x+3)(x-5)(x-2)
(x-2)(x-5)(x-2) (2x-7)(x+3)(x-2) 3(x+3)(x-5)
-------------------- + ------------------- - -------------------------
(x+3)(x-5)(x-2) (x+3)(x-5)(x-2) (x+3)(x-5)(x-2)
(x-2)(x-5)(x-2) (2x-7)(x+3)(x-2) 3(x+3)(x-5)
-------------------- + ------------------- - -------------------------
(x+3)(x-5)(x-2) (x+3)(x-5)(x-2) (x+3)(x-5)(x-2)
(x-2)(x-5)(x-2) + (2x-7)(x+3)(x-2) - 3(x+3)(x-5)
------------------------------------------------------------------------------
(x+3)(x-5)(x-2)
(x-2)(x-5)(x-2) + (2x-7)(x+3)(x-2) - 3(x+3)(x-5)
-------------------------------------------------------------
(x+3)(x-5)(x-2)