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a train traveling at a uniform speed from 3.60 km would have taken 48 min less to travel if it is speed were 5 km per hour more ? |
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Answer» Let x= Original Speedwe know that speeddistance =TIMESO as per the question the following equation can be formedx360 − x+5360 = 6048 [1 hour = 60 minutes]⇒ x1 − x+51 = 6048 ⋅ 3601 ⇒ x 2 +5X5 = 4501 ⇒x 2 +5x−2250=0⇒x 2 −45x+50x−2250=0⇒x(x−45)+50(x−45)=0⇒(x−45)(x+50)=0x=45,−50As the SPEED can't be NEGATIVE so,x=45 |
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