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Question

A car covers a distance of 715 km at a constant speed . If the speed of the car would have been  10 km/hr more , then it would have taken 2 hours less to cover the same distance . What is the original speed of the car ?


Options:
A .  45 km/hr
B .  50 km/hr
C .  55 km/hr
D .  65 km/hr
Answer: Option C

Let the original speed be `x` km/hr . Then,

`715/x - (715)/(x + 10)  = 2      hArr     2x(x + 10)    = 7150         hArr   x^2 + 10x - 3575 = 0`

`hArr     (x + 65)  (x - 55) = 0     hArr   x `= 55 kh/hr. 




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