Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed T?	Choose the correct option: A) 6 B) 8 C) 10 D) 12 E) 16
Let the current speed be x miles per hour.   Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x   Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)   As per question, 96/(x-4) - 96/1.5x = 16   Solving this T we get x = 8.   8.
<result>B</result>
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed T?