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A train covers a distance of 90 kms of a uniform speed . It would have taken 30 minutes less if the speed had been 15 km/hr calculate the original distance duration of the journey
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Answer:
original speed of the train =45 km/hr.
Step-by-step explanation:
Given :-
▶Distance =90 km
Let the original speed of the train =×km/hr.
▶Time taken to travel =90/×hr.
Time taken to travel =90 / (×+15)hr.
Now, A /Q
90 /×=90 / (×+15 )+1/2.
▶90 /×-90 / (×+15 )=1/2.
▶90 { 1/×-1 / (×+15 ) }=1/2.
▶×+15 -×/× (×+15 )=1/2 ×1/90.
▶×/15 ( ×+15 )=180.
▶× (×+15 )=15 ×180 =2700.
▶x +15 ×-2700 =0
▶x+60 ×-45 ×+2700 =0
▶ (×+60 ) (×-45 )=0.
▶×+60 =0 or ×-45 =0.
▶×=45 or -60
{ Speed can't be negative. }
⏩ Original speed =45 km /hr.
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