Xavier Aptitude Test 2023 Paper

Let ' a ' and ' b ' be the speeds of Rahim and the speed boat in still water, respectively
Let 'c' be the speed of the stream.
Speed boat starts after 1 minute of Rahim's departure and crosses him after 4 minutes.
It implies that the speed boat covered the same distance in 4 minutes that Rahim took 5 minutes.
Hence, the ratio of upstream speeds of Rahim and Speed boat =‌

a−c

b−c

=‌

4

5

Using Statement 1, we get b=30‌kmph. But, it's not sufficient to get the value of 'a'.
Using Statement 2 , we get a−c=‌

30

3

=10‌kmph. But it's also not sufficient to get the value of 'a'. using both statements, we get
‌‌

a−c

b−c

=‌

4

5

‌‌

10

30−c

=‌

4

5

‌50=120−4c
‌c=17.5
‌a=17.5+10=27.5‌kmph