SOLUTION: a man covered a certain distance in 12 hours.half of the distance he covered by train at 75 km/ hr and the remaining distance he covered by car at 45 km/hr.how much distance did he

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Question 980030: a man covered a certain distance in 12 hours.half of the distance he covered by train at 75 km/ hr and the remaining distance he covered by car at 45 km/hr.how much distance did he covered.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!

Let  x  be the unknown distance  (in kilometers).

Then the man spent  x%2F%282%2A75%29  hours to cover half of the distance moving at the speed of  75 km%2Fh.

Next,  he spent  x%2F%282%2A45%29  hours to cover half of the distance moving at the speed of  45 km%2Fh.

The equation for the unknown distance  x  is

x%2F%282%2A75%29 + x%2F%282%2A45%29 = 12.

Solve it step by step:

x%2F150 + x%2F90 = 12,

%283x%2F450%29 + %285x%2F450%29 = 12,

3x + 5x = 12*450,

8x = 5400,

x = 5400%2F8 = 675.

Answer.  The distance is  675 km.