Akash leaves Mumbai at 6 am and reaches Bangalore at 10 am. Prakash leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?

Explanation

Akash takes 4 hours, Prakash takes 3.5 hours. If distance is d, speeds are v_A = \frac{d}{4} and v_P = \frac{d}{3.5}. At 8 am, Akash has travelled for 2 hrs covering \frac{d}{2}, remaining distance is \frac{d}{2}. Time to meet = \frac{\frac{d}{2}}{\frac{d}{4} + \frac{d}{3.5}} = \frac{14}{15} hours = 56 minutes. They meet at 8:56 am.

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