Two towns, Pune and Nagpur, are 240 km apart. A train leaves Pune at 7:00 AM at a speed of 50 km/hr. Another train leaves Nagpur at 10:00 AM towards Pune at a speed of 70 km/hr. After how many minutes from 10:00 AM will both trains meet?

ATQ, The distance between Pune and Nagpur is 240 km. The first train leaves Pune at 7:00 AM. The second train leaves Nagpur at 10:00 AM. So, the first train travels alone for 3 hours (from 7:00 AM to 10:00 AM). Speed of the first train = 50 km/hr. Distance covered by the first train in 3 hours = 50 × 3 = 150 km. Now, the distance remaining between both trains at 10:00 AM = 240 − 150 = 90 km. From 10:00 AM, both trains move towards each other. Relative speed = 50 + 70 = 120 km/hr. Time taken to meet after 10:00 AM = Remaining distance/Relative speed Time taken = 90/120 = 0.75 hour Convert 0.75 hour into minutes: 0.75 × 60 = 45 minutes So, they will meet 45 minutes after 10:00 AM.