Answer:
You will travel 52.5 km in 35 minutes (i.e., 7/12 hours).
Explanation:
Given that you drive 90 km an hour, we can determine how far you will get in 35 minutes using the following steps:
Step 1: Convert 35 minutes to hours:
- We need to work with the same units, so we must convert 35 minutes to hours (x).
Since there are 60 minutes in an hour, we can convert 35 minutes to hours using a proportion:
35 min / x hr = 60 min / 1 hr
(35/x = 60) * x
(35 = 60x) / 60
7/12 = x
Thus, 35 minutes is equivalent to 7/12 hours.
Step 2: Determine how far you can get in 7/12 hours:
We can again use a proportion to determine how far you will get (y) in 7/12 hours:
90 km ÷ 1 hr = y km ÷ (7/12) hr
(90 = y ÷ 7/12) * 7/12
52.5 = y
Therefore, given that you drive 90 km an hour, you will travel 52.5 km in 35 minutes (i.e., 7/12 hours).