Players A and B play a video game against each other. As long as the game lasts, each player carns points according to P

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Players A and B play a video game against each other. As long as
the game lasts, each player carns points according to Poisson
process with a rate that reflects her skills, independent of the
other player The rates associated with the two players are 3 (for
player A) and 4 (for player B) points per hour. The game lasts for
2 hours, and the player who earns the most points wins_ In case the
2-hour game results in tie, the game will be extended until the
first time that one of the two players scores. What is the expected
value of the overall duration of the game?