Question 55

Anuj and Bharat start running towards each other simulatenously, starting from points P and Q, respectively. They meet somewhere in between and continue on their journeys to Q and P, respectively. Anuj reaches Q 4 hours after meeting Bharat. Given that it took Anuj 10 hours to reach Q from P, how much time did Bharat take to reach P from Q?

Anuj took 4 hours after meeting Bharat. Hence, Anuj met Bhrat after 6 hours. 

The time before their meeting can be calculated as $$\sqrt{\ t_1t_2}$$, where $$t_1$$ and $$t_2$$ are time taken by the two people to cover the remaining distance after crossing each other. 

We get the equation $$6=\sqrt{\ 4t_B}$$
$$36=4t_B$$
$$t_B=9$$

Hence, it took Bharat 9 more hours after meeting Anuj to complete his journey and reach P. 

This, in addition to the 6 hours before meeting Anuj, gives the total time taken by Bharat to be 15 hours. 

Therefore, Option D is the correct answer. 

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