A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance is equal to :
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance is equal to :
[A]$latex 20\ minutes$
[B]$latex 15\ minutes$
[C]$latex \frac{40}{3}\ minutes&s=1$
[D]$latex 40\ minutes$
$latex \mathbf{\frac{40}{3}\ minutes}&s=1$
Time = 12 minutes $latex = \frac{12}{60}\ hours = \frac{1}{5}\ hours&s=1$
Speed of train =
$latex = \frac{10}{\frac{1}{5}} = 50\ km/hr&s=1$
New speed = 50 – 5 = 45 km/hr
$latex \therefore Required\ Time = \frac{Distance}{Speed}&s=1$
$latex = \frac{10}{45} = \frac{2}{9}\ hour&s=1$
$latex = \frac{2}{9}\times 60 = = \frac{40}{3}\ minutes&s=1$
Hence option [C] is correct answer.