Correct option is (A) 10/9
\(\because\) Krishna read in 1 hour = \(\frac{1}{3}\) part of a book
\(\therefore\) Krishna read in \(3\frac{1}{3}\) hours = \(3\frac{1}{3}\) \(\times\) \(\frac{1}{3}\) part of that book
= \(\frac{3\times3+1}{3}\) \(\times\) \(\frac{1}{3}\)
= \(\frac{10}{3}\) \(\times\) \(\frac{1}{3}\) = \(\frac{10}9\) part of the book.
Correct option is (D) \(7\,\frac{1}{2}\) hrs
\(\because\) Time taken to fill a \(50\,l\) of tank = 5 hours
\(\therefore\) Time taken to fill a \(75\,l\) of tank \(=\frac5{50}\times75\;hours\)
\(=\frac{75}{10}\;hours\) = 7.5 hours
= 7 hours + \(\frac12\) hours
= \(7\frac12\) hours
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 \(=\frac{Distance}{Time}\)
\(=\frac{225}2\,km/hrs\) \(=112\frac{1}2\,km/hrs\)