IPMAT Rohtak (QA) PYQs

If the time taken by boat to travel upstream on Monday is $27 \frac{1}{5}$ hrs more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday? (speed of boat in still water is the same in upstream as in downstream)

If the time taken by boat to travel upstream on Wednesday is $\frac{6}{7}$ times the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph, then find the speed of boat in still water on Wednesday? (Speed of boat in still water is different for different days)

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, the speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.