IIMB 2001 (QA) PYQs

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?

Sasuke and Naruto start running from different villages at the same time with constant speeds. They meet after $1.5$ hours when running towards each other and after $10.5$ hours when running in the same direction. If Sasuke runs at $60$ km/hr, how far does he travel before meeting Naruto when they run towards each other?

At $4:00$ am, a Boeing $787$ flying north at $500$ km/h passes over City X. Half an hour later, a Jet Airways aircraft flying east at $400$ km/h passes over the same city at the same altitude. Calculate the distance between the two planes at $6:00$ am, rounded to the nearest $100$ km.