Question

A snake slithers 2/9 mile in 4/5 hour.

What is its speed in miles per hour?

A. 8/45 mile per hour
B. 5/18 mile per hour
C. 18/5 miles per hour
D. 45/8 miles per hour

Answer 1

Your answer is A. 8/45 mph

Explanation:

I can provide a more detailed answer in a few but for starters, you can rule out answers C & D because that would be the fastest snake alive to be able to travel that far in such a short time.

That leaves a choice between A or B. Using the common denominator method to switch 2/9 and 4/5 to x/45, this makes the most sense. When comparing the 8/45 mph to the actual question, it's very reasonable.

I'll come back in a few and provide the actual math. I'm late for the doctor.

Good luck! Hope this helps!

Answer 2

B: 5/18 miles per hour

Explanation:

1. multiply the fractions by the reciprocal

2/9 × 4/5 = 10/36

2. Divide answer by common multiple which is 2

10/36 ÷ 2 = 5/18

5/18 miles per hour is the snakes speed