Question

In the​ morning, Maria drove to a business appointment at 80 mph. Her average speed on the return trip in the afternoon was 70 mph. The return trip took 1/7 hr longer because of heavy traffic. How far did she travel to the​ appointment?

Answer 1

Maria traveled 80 miles to the appointment.

Step-by-step explanation:

To find the distance Maria traveled to the appointment, we first need to determine the time it took on her return trip. Let's assume the distance between her home and the appointment is D miles. The time for the return trip is given by the formula:

time = distance / speed

The time of the return trip is 1/7 hours longer than the time of the morning trip:

time_return = time_morning + 1/7

Substituting the formulas for time:

D / 70 = D / 80 + 1/7

Multiplying both sides by 560 (the least common multiple of 70 and 80) to eliminate the fractions:

8D = 7D + 80

Simplifying:

D = 80 miles

Therefore, Maria traveled 80 miles to the appointment.