Let x be the number of hours she jogs, and y be the number of hours she bikes. The total time would then be x + y = 5 The total distance (based on the given speeds) would be 6x + 12y = 50 Multiply the first equation by 6 to get 6x + 6y = 30 Subtract this from the second equation to get 6y = 20 y = 10/3 or 3 1/3 Substitute this value back into the first equation to get x = 5/3 or 1 2/3 Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.