Probability of class time

Question

A teacher's class has a continuous uniform distribution between 49.2 mins and 55.5 mins. One class is randomly selected and its probability that the class time is longer than a certain number of minutes is 0.603. What is the duration of the randomly selected class if P(x>c) = .603

What is "c"(c=duration of the randomly selected class)? (no rounding)

Answer 1

(55.5 - c)/(55.5 - 49.2) = 0.603

55.5 - c = 0.603 * 6.3

-c = 0.603 * 6.3 - 55.5

c = 55.5 - 0.603*6.3 = 51.7