Latest REVENUE OFFICER Aptitude Question SOLUTION: a train covered a certain distance at a uniform speed.if the train could have been 10 km/hr faster, it would have taken 2 hours less than the scheduled time. and if the train were

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(#M40018567) REVENUE OFFICER question trains Keep an EYE

a train covered a certain distance at a uniform speed.if the train could have been 10 km/hr faster, it would have taken 2 hours less than the scheduled time. and if the train were slower by 10 km/hr, it would have taken 3 hours more then the scheduled time. the distance covered by the train is ?

Asked In REVENUE OFFICER RAJAT SHUKLA (11 years ago)

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Vinay Sipani   (11 years ago)

600 km

Let the scheduled distance travelled = d,
time taken = d, uniform speed = s
=> d = st ----------(1)

If s -> (s + 10) => t -> (t - 2)
=> d = (s + 10)*(t - 2)--------(2)
=> d = st + 10t - 2s - 20
From (1) => 5t - s = 10 ------(3)

If s -> (s - 10) => t -> (t + 3)
=> d = (s - 10)*(t + 3)--------(4)

(2)/(4) => (s + 10)*(t - 2) = (s - 10)*(t + 3)
=> 10t - 2s - 20 = -10t + 3s - 30
=> 20t - 5s = -10
=> s - 4t = 2 ---------(5)

From (3) and (5),
s = 50 km/hr , t = 12 hrs

=> d = st = 600 km

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