Question

A car cover a distance of 175 km at a constant speed if the speed of the car would have been 10km/hr more then it would have taken 2 hours less to cover the same distance. What is the original speed of the car

Answer 1

D = 175 km

Let original Speed = S km/Hr

Original Time = 175/S  Hr

Increased Speed = S+10  Km/Hr

Time Taken with increased Speed = 175/(S+10) Hr

175/S - 175/(S+10) = 2

175(S+10)-175S=2S(S+10)

1750 = 2S((S+10)

875 = S ( S + 10)

S²+ 10S - 875 = 0

S²+35S-25S-875=0

S(S+35)-25(S+35)=0

(S-25)(S+35) = 0

S = 25  as it can not be negative

25 km/Hr is original speed.

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