A car travels at 12 miles per hour for 8 minutes then 1 mph

A car travels at 1/2 miles per hour for 8 minutes, then 1 mph for 4 minutes, then 2 mph for 2 minutes, then 4 miles per hour for 1 minute, and so forth: stopping after traveling 128 miles per hour for 1/32 minutes.How many miles does the car travel?
a) .56 b) .58 c) .6 d) .62 e) none of these

Solution

Interesting that at each stage, the car travels the same distance; 1/15 of a mile
Converting minutes to hours:
.5(8/60) = (4/60) = (1/15)mi
1(4/60) = (1/15)mi
The last one
128(1/32)*(1/60) = (128/1920) = (1/15) mi
:
Total of all 9 stages
9(1/15) = .6 mi