Correct option is (A) \(112\frac12\,km/hrs\)
Distance covered by train in \(2\frac12\) hrs = speed \(\times\) time
= 90 \(\times\) \(2\frac12\) km = 90 \(\times\) \(\frac52\) km
= 45 \(\times\) 5 km = 225 km
\(\therefore\) Speed required to covered same distance (225 km) in 2 hours \(=\frac{Distance}{Time}\)
\(=\frac{225}2\,km/hrs\) \(=112\frac{1}2\,km/hrs\)
