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The difference of the car of a faster car and a slower car is a 20 km per hour is the slower car takes 1 hour more than the faster car to travel a distance of 400 km find speed of both the cars |
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Answer» Step-by-step EXPLANATION: Let the speed of the slower car be X Let the faster car be x+20
Distance=400km Time taken by slower car - time taken by faster car= 1 hour 400/x - 400/x+20= 1 (x+20) 400 - 400x/ x( x+20 )= 1 400x + 8000 - 400x = x SQ. + 20x x sq. + 20x = 8000 x sq. + 20x - 8000 = 0 x sq. + 100x - 80x - 8000= 0 x(x + 100) - 80 (x + 100)= 0 (x - 80) (x + 100)= 0 x - 80 = 0 x = 0 + 80 therefore, x = 80 and x + 100=0 x=0-100 therefore x = -100 not possible Hence,the speed of slower car is 80 km/hr and the speed of faster car is 100 km/hr |
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