A train travel some distance with a speed of 30km/hr and return with a speed of 45km/hr. Calculate average speed.

Answer 1

Average speed =
=Total distance/ total time =
= 2s/{t₁ +t₂} =
= 2s/{s/v₁) +(s/v₂)} =
=2v₁v₂/(v₁+v₂) =
=2•30•45/(30+45) = 36 km/h

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Answer 9

let d/2 be the distance covered by train with a speed of 30kmph in t1 hours
→t1=d/60

it covers d/2 distance with a speed of 45km/h in t2 hours
→t2=d/90

average speed = total distance/total time

=d/(t1+t2)
=1/(1/60+1/90)
=1/(3+2)/180
=180/5=36kmph