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BTGmoderatorDC wrote:When a certain stretch of highway was rebuilt and straightened, the distance along the stretch was decreased by 20 percent and the speed limit was increased by 25 percent. By what percent was the driving time along this stretch reduced for a person who always drives at the speed limit?
A. 16%
B. 36%
C. 37 1/2%
D. 45%
E. 56 1/4%
Let the Initial Distance travel be 100 Units. Let the speed be in 100 units. So time taken is 1 unit (Distance = Speed * Time)
After highway has been rebuilt , The distance is 80 Units (decreased by 20%) and Speed is 125 units (Speed limit increased by 25%)
Time taken is 80/125 Units . 16/25 Units.
% by which the time taken reduce to drive after rebuilding the highway = (1-16/25)/1 *100 = 36%
Answer is B
We can let the original distance = 100 miles and the original speed limit = 100 mph, so the original time is 100/100 = 1 hour.BTGmoderatorDC wrote: ↑Wed Dec 25, 2019 6:09 pmWhen a certain stretch of highway was rebuilt and straightened, the distance along the stretch was decreased by 20 percent and the speed limit was increased by 25 percent. By what percent was the driving time along this stretch reduced for a person who always drives at the speed limit?
A. 16%
B. 36%
C. 37 1/2%
D. 45%
E. 56 1/4%
OA B
Source: Official Guide
