# Minimum time

Question:

Here is an excellent puzzle to test your reasoning skills. The five pandavas: Dharma Raja, Bheema, Arjuna, Nakula and Sahadeva were sleeping in the Red-wax house and their enemies burnt it. The pandavas were to escape through a tunnel. Only two people could go through the tunnel at one time. Moreover, it was totally dark and without a torch they could not proceed. They had only one torch. It means, two people should go out, and then one had to take the lamp inside and accompany another one out. Total 4 trips. It would take for Nakula and Sahadeva 5 minutes and Arjuna 10 minutes to come out. Bheema would take 20 and Dharma 25 minutes respectively to come through the tunnel, as one was hefty and another was old. This is an arithmetical problem and has no twists. How much minimum time it would take?

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Answer: It would take 75 minutes for all the five to come out. Nakula takes the three others with his torch. For taking Sahadeva out, it takes 5 minutes, going back (5), bringing Arjuna (10), going back (5), bringing Bheema (20), going back (5) and finally bringing back Dharmaraja (25). Total: 75 minutes.