Two cars start towards each other; from two places A and B which are at a distance of 160 km. They start at the same time 08 :10 AM. If the speeds of the cars are 50km and 30 km per hour respectively, they will meet each other at

Correct Option

When two objects move towards each other, their relative speed is the sum of their individual speeds. In this scenario:

• Total distance between A and B = 160 km
• Speed of the first car = 50 km/h
• Speed of the second car = 30 km/h
• Relative speed = 50 km/h + 30 km/h = 80 km/h

The time required for the cars to meet is determined by dividing the total distance by their relative speed:

• Time = Distance / Relative Speed
• Time = 160 km / 80 km/h = 2 hours

Given that both cars commence their journey at 08:10 AM, they will meet 2 hours after their start time:

• Meeting time = 08:10 AM + 2 hours = 10:10 AM

Thus, the cars will meet at 10:10 AM.

Incorrect Options

Options 2 (10:30 AM), 3 (11:10 AM), and 4 (11:20 AM) are incorrect. These times do not correspond to the accurate calculation of the meeting time. Such discrepancies could result from errors in determining the relative speed, miscalculation of the total time elapsed, or incorrect addition of the elapsed time to the initial starting time.