A train travels a distance of 480 km at a uniform speed . if the speed had been 8km per hour less then it would have take 3hours more to cover the same distance. we need to find the speed of the train
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Answer:
distance travelled by train=480km
let the speed of the train be x km/hr
time taken by the train to cover distance of 480 km be y hr
according to the condition
in 1st case:-
speed=x km/hr
distance=480
t1=?
in 2nd case:-
speed=x-8 km/hr
t2=?
since:-
T2-T1=3 {TIME IN 2ND CASE -TIME IN 1ST CASE}
SPEED=DISTANCE/TIME
TIME=DISTANCE/SPEED
T2=480/X-8
T1=480/X
WHEN U WILL SOLVE T2-T1
U WILL GET THE QUADRATIC EQN AS X²-8X-1280=0
X²-40X+32X-1280
X(X-40)+32(X-40)
(X-40)(X+32)
X-40=0
X=40KM/HR
AND WE ARE NOT CONSIDIRING X+32 CASE AS IT WILL RESULTIN -32AND SPEED CANNOT BE -VE.
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