Question

Alyssa drove 16 2/3 miles in 15 minutes. If she drove at a constant rate, how far did she travel in one hour?

a) 66 1/2 miles
b) 70 miles
c) 75 miles
d) 80 miles

Answer 1

Alyssa drove 16 2/3 miles in 15 minutes. Multiplying that distance by 4 to find the hourly distance, she would have traveled 66 2/3 miles in one hour, corresponding to answer option (a) 66 1/2 miles.

Step-by-step explanation:

To solve the problem of how far Alyssa drove in one hour, we should first recognize that the driving time given is 15 minutes, which is ⅔ of an hour. If she drove 16 2/3 miles in that time at a constant rate, we can calculate the distance driven in one full hour by multiplying the distance by 4 (× 4, since there are 4 intervals of 15 minutes in an hour).

First, convert 16 2/3 miles to an improper fraction: 16 × 3 + 2 = 50/3 miles.

Next, multiply the distance by 4:

50/3 miles × 4 = 200/3 miles = 66 2/3 miles.

This means Alyssa would have driven 66 2/3 miles in one hour at her constant rate. The rounded down answer is option (a) 66 1/2 miles, as no other options closely match the exact distance calculated.