Bunuel
A moving service charges p dollars for the first 5 miles of any trip plus 0.1*p dollars for each additional mile or fraction of a mile. If p > 30, was a particular trip more than 30 miles long?
(1) The moving service charged a total of 3.3p dollars for the trip.
(2) The moving service charged a total of $132 for the trip.
As per the question we have
Let Total distance = D,
Is D>30?
First 5 miles = p
Next rate = 0.1p * (D - 5)
Total price of a trip of D miles = p + 0.1p * (D - 5)
(1) The moving service charged a total of 3.3p dollars for the trip.
=> p + 0.1p * (D - 5) = 3.3p
=> 1 + 0.1(D - 5) = 3.3
=> 0.1(D - 5) = 2.3
=> (D - 5) = 23
=> D = 23 + 5 = 28
Hence D < 30
Sufficient(2) The moving service charged a total of $132 for the trip.
=> p + 0.1p * (D - 5) = 132
=> 0.1p * (D - 5) = 132 - p
=> p * (D - 5) = 1320 - 10p
=> D = (1320 - 10p)/p + 5
Since p> 30 let's test p = 31 to figure this out
=> D = (1320 - 310)/31 + 5
=> D = 37.5
Let's test p = 40 to figure this out
=> D = (1320 - 400)/40 + 5
=> D = 28
Hence D can be greater or lesser than 30 as p increases beyond 30
InsufficientIMHO Option A