A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h ?
Answer & explanation
Correct answer: option 4
Let speed of train = S km/h
According to question ,
[ \(\frac{100}{S}\) - \(\frac{270}{S - 5 }\) ] - \(\frac{370}{S}\) = \(\frac{36}{60}\)
\(\frac{270}{S-5}\) - \(\frac{270}{S}\) = \(\frac{3}{5}\)
\(\frac{1}{S-5}\) - \(\frac{1}{S}\) = \(\frac{1}{450}\)
On solving it ,
S = 50 km/h
So , Speed of train is 50 km/h