Multiple choice

Sumit was driving at the speed 80 km/hr and Gaurav was driving at the speed of 60 km/hr. Gaurav left for Bombay from Delhi at 1:00pm and Sumit left from Bombay to Delhi at the 3:00pm. At what time will Sumit overtake Gaurav?

  1. 4 hrs

  2. 5 hrs

  3. 6 hrs

  4. 7 hrs

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

By 3:00 pm, Gaurav has traveled for 2 hours at 60 km/hr, covering a distance of 120 kilometers. When Sumit starts at 3:00 pm, their relative speed is the difference between their speeds, which is 80 km/hr - 60 km/hr = 20 km/hr. Using the relative speed formula Time = Distance Gap / Relative Speed, the time Sumit needs to close the 120 kilometer gap is 120 / 20 = 6 hours. Therefore, Sumit will overtake Gaurav exactly 6 hours after he starts. The time at which Sumit overtakes Gaurav is 6 hrs.