Jack traveled from Town X to Town Y in 3 hours, and her speed was between 30 miles per hour and 45 miles per hour. Brian also traveled from Town X to Town Y along the same route in 2 hours, and his speed was between 35 miles per hour and 55 miles per hour. Which of the following could be the distance, in miles, from Town X to Town Y?

(A) 8
(B) 105
(C) 115
(D) 120
(E) 135
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I tried with the backsolving approach.
Of the answer choices given,let's assume that 115 could be a possible distance. So as per the question stem,Jack's speed would be 115/3 = 38.33mph which falls into the bracket given in the question. But Brian's speed would be 115/2 = 57.5mph which exceeds the given bracket. Going anything above 115 would make no sense as the speeds for the two of them would be too high. So we go to try with answer choice B,i.e.105. With 105,Jack's speed would be 35mph and Brian's speed would be 52.5mph,both of which satisfy the bracket. Hence,B is the correct choice.