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)   (Show Source): You can put this solution on YOUR website!

Let  x  be the unknown distance  (in kilometers).

Then the man spent    hours to cover half of the distance moving at the speed of  75 .

Next,  he spent    hours to cover half of the distance moving at the speed of  45 .

The equation for the unknown distance  x  is

+ = 12.

Solve it step by step:

+ = 12,

+ = 12,

3x + 5x = 12*450,

8x = 5400,

x = = 675.

Answer.  The distance is  675 km.


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