Question

A train travels 40 km at a uniform speed of 30 km/hr. Its average speed after travelling another 40 km is 45 km/hr for the whole journey.Find its speed in the second half of the journey.

• A. 45 km/hr
• B. 65 km/hr
• C. 90 km/hr
• D. 105 km/hr

Answer 1

The correct option is C

90 km/hr

Let speed of the train in later half = x, then the time taken to travel later 40 km = 40/x hours
Total time taken $=\frac{40}{30}+\frac{40}{x}$
Average speed = $\frac{Totaldistance}{Totaltime}=45$
$\frac{80}{\frac{40}{30}+\frac{40}{x}}=45$
$4x+120=\frac{80}{45}\times 3x$
$x=90km/hr$