AMC 10A/12A 2025 (Problem 1/1)

Andy and Betsy both live in Mathville. Andy leaves Mathville on his bicycle at 1:30 traveling due north at a steady 8 miles per hour. Betsy leaves on her bicycle from the same point at 2:30, traveling due east at a steady 12 miles per hour. At what time will they be exactly the same distance from their common starting point?
(A)  3:30\text{(A)}\;3:30(B)  3:45\text{(B)}\;3:45(C)  4:00\text{(C)}\;4:00(D)  4:15\text{(D)}\;4:15(E)  4:30\text{(E)}\;4:30