Multiple choice

Two places A and B are at a distance of 480Km. Sita started from A towards B at the speed of 40Kmph. After 2 hours Gita started from B towards A at speed of 60 Kmph. They meet at a Place C then what is the difference between the time taken by them to reach their destinations from Place C?

  1. 1 hour

  2. 2 hour

  3. 3 hour

  4. 4 hour

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sita travels 2 hours alone (80 km). Remaining distance = 400 km. Relative speed = 40 + 60 = 100 km/h. Time to meet = 400/100 = 4 hours. Sita travels 6 hours total (240 km from A). Gita travels 4 hours total (240 km from B). Time for Sita to reach B = 480/40 = 12 hours. Time for Gita to reach A = 480/60 = 8 hours. Time remaining for Sita from C = 12 - 6 = 6 hours. Time remaining for Gita from C = 8 - 4 = 4 hours. Difference = 2 hours.

AI explanation

By the time Gita starts, Sita has already covered 40 km/hr * 2 hrs = 80 km, leaving a remaining distance of 480 km - 80 km = 400 km between them. Traveling towards each other, their relative speed is 40 km/hr + 60 km/hr = 100 km/hr, so they meet after 400 km / 100 km/hr = 4 hours. Sita takes a total of 6 hours to reach place C while Gita takes 4 hours to reach place C, making the difference in their travel times to that point 6 - 4 = 2 hours.

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