# A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the times taken by it to cover the same distance will be :

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 will be :
[A]10 minutes
[B]11 minutes 20 sec
[C]13 minutes
[D]13 minutes 20sec

13 minutes 20sec
Speed of train $= \frac{Distance}{Time}$
$=\frac{10}{\frac{12}{60}}km/h$
$=\frac{10\times 60}{12} = 50km/h$
New Speed $= 45km/h$
∴ Required Time $= \frac{10}{45}hour$
$= \frac{2}{9}\times 60 minutes$
$= \frac{40}{3} minutes$
$= 13 minutes 20 seconds$
Hence option [D] is correct answer.