IIM-B (BBA-DBE) 2024 #1 PYQs

The time taken by a boat to cover a certain distance in still water is 20% less than the time it takes to cover the same distance upstream. The speed of the stream is 4.5 km/h. How much total time (in hours) will the boat take to cover 60 km downstream and 30 km upstream?

A train departs station X at 6:30 a.m. at a speed of 84 km/h. After one hour, another train departs station A in the same direction as that of the first train at a speed of 96 km/h. When and at what distance from station A do the two trains meet?

Nidhi reached her institute in 3 hours while travelling by bus with a wheel radius of 70 cm and making 250 revolutions in one minute. One day, she left for the institute one hour later than usual time. Then to reach her institute on time, she should increase her speed by ____. [Use $\pi = \frac{22}{7}$]