IIMB 2002 (QA) PYQs

A boat went down the river for a distance of 20 km. It then turned back and returned to its starting point, having travelled a total of seven hours. On its return trip, at a distance of 12 km from the starting point, it encountered a log, which had passed the starting point at the moment at which the boat had started downstream. The downstream speed of the boat is

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?

Ash Ketchum on a journey completed his travels using two modes of transport: walking and riding a bicycle. Ash walked a total of 90 km and rode the bicycle for 10 km. The time he spent riding the bicycle was four hours less than the time he spent walking. If the times spent on each mode of transport were swapped, the distances covered by walking and riding would be equal. How long did Ash spend riding the bicycle?