a vehicle travels at a certain average speed for a distance of 63km and then travels a distance of 72km at an average speed of 6km/h more than its original speed. if it takes 3 hours to complete the total journey, what si its original average speed?
63/v + 72/(v+6) = 3
The vehicle travels those 63 kilometers, let's say, at \(x\) kilometers per hour. Then the next 72 kilometers would be at a speed of \(x + 6\). How would you express the time taken to travel those \(63\) kilometers in terms of \(x\)?
And how would you express the time taken to travel the next \(72\) kilometers?
63/x - 72/x+ 64 = 3 ...... wt after ths?
???
63/v + 72/(v+6) = 3 multiply each term by v(v+6) 63(v+6) + 72(v) = 3v(v+6) If you simplify you will get a quadratic equation in v. And then you can solve for v.
i got, ... -3x^2 + 52x + 378 = 0 , ... now how to slove ths by completing the square method ?
any1 thr???
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