Create the equations form the word problem and plug the equations into Desmos. Remember the
point of interception is the solution to the system. Rewrite the solution in context of the word
problem.
19. Two friends are playing the same game on their phones. One is already on
level 6, and levels up every two hours. Her friend is on level 3, but levels up every
60 minutes. After how many hours will they have reached the same level? What
level will that be?

Can someone give me the equation and solution to this

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.