Question

A train travels a distance of 300 km with uniform speed if its speed is decreased by 5 km per hour it would have taken 2 hours more to cover the same distance find the speed of the train​

Answer 1

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Answer 2

✔️STEP BY STEP EXPLANATION ✔️

It is given that,

distance, d=300km

let the speed be, s=x

if the speed decreased by by 5km/hr

it would be = x-5km/hr

the time taken will be, t=d/s

therefore, time,t=300/x

given that it would take 2 hr more so t= 300/x+2

Now,

d=s×t

therefore

300=(x-5)(300/x+2)

300=[(x-5)(300+2x)]/x

300x=(x-5)(300+2x)

300x=300x+2x^2-1500-10x

2x^2-10x-1500=0

This the EQn for your question,

solve this eqn to get the answer.

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