Choose the one alternative that best completes the statement or answers the question.
-A consultant traveled 255 miles to attend a meeting, traveling 45 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 5 hours, how far
Did the consultant travel at the faster speed?
A) 127.5 mi
B) 120 mi
C) 135 mi
D) 180 mi

Question

Quizplus · Accepted Answer

The consultant traveled 120 miles at the faster speed. To solve this, let's denote the time spent traveling at 45 mph as $t$ hours and the time spent traveling at 60 mph as $5 - t$ hours (since the total trip time is 5 hours). The distance covered at 45 mph is $45t$ miles, and the distance covered at 60 mph is $60(5 - t)$ miles. The total distance is 255 miles, so we have the equation $45t + 60(5 - t) = 255$. Solving for $t$ gives the time spent at each speed, and substituting back gives the distance traveled at 60 mph as 120 miles.

Choose the One Alternative That Best Completes the Statement or Answers