Hi there!
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I believe your answer is:
Option C
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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.
Answer:
<u>9 mph</u>
Step-by-step explanation:
Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph. That means he travelled (0.5hr x 6 mph =) 3 miles. He travelled 3 miles on the return trip, by definition (same path home). At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours. That makes a total of 6 miles and (0.5 + 0.1667=) 0.6667 hours.
(6 miles)/(0.6667 hours) = 9 mph is Calvin's average speed for the round trip.
I got B but I'll show you how I got that answer.
Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75
On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.
Let's start with Choice A.
10(11) - 20 = 90.
AB = 90
BC = 90.
90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.
Now let's look at Choice B.
10(14) - 20 = 120.
AB = 90
BC = 120
90/120 = 0.75
So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct