A train travels 360km at a uniform speed. if the speed had been 5km/h more,it would have taken 1h less for the same journey. which is the suitable form of equation
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Step-by-step explanation:
Let the speed of the train be s km/hr and the time taken be t hours.
Distance = Speed × Time
360 = s × t
⇒ t = 360 / s
Increased speed of the train can be written as s + 5
New time to cover the same distance = t - 1
(s + 5) × (t - 1) = 360 ....(1)
st - s + 5t - 5 = 360
360 - s + 5(360/s) - 5 = 360 [Since, st = 360 and t = 360 / s]
- s + 1800/s - 5 = 0
- s² + 1800 - 5s = 0
s² + 5s - 1800 = 0
We will solve this quadratic equation by quadratic formula
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