Question

Mike and Jamal are 9 miles apart, and are planning to meet up. Mike is walking at an average speed of 3 miles per hour to meet Jamal. Jamal is driving at an average speed of 25 miles per hour to meet Mike. A table showing Rate in miles per hour, Time in hours, and Distance in miles. The first row shows, Mike and has, 3, t, and 3 t. The second row has Jamal, and has, 25, t, and 25 t. Which equation can be used to find t, the time it takes for Mike and Jamal to meet? 25t – 3t = 0 25t – 3t = 9 25t + 3t = 1 25t + 3t = 9

Answer 1

D.

Explanation:

Answer 2

The correct answer is D. 25t + 3t = 9

Explanation:

1. Let's review all the information provided for solving this question:

Distance between Mike and Jamal = 9 miles

Speed of Mike walking = 3 miles per hour

Speed of Jamal driving = 25 miles per hour

Time it takes for Mike and Jamal to meet = t

2. Let's find the correct equation and the value of t:

For finding the correct equation, we will have to calculate the distance that Mike will walk = (Speed of Mike * Time it takes for Mike and Jamal to meet), plus the distance that Jamal will drive =(Speed of Jamal * Time it takes for Mike and Jamal to meet), equal to the distance between them.

Replacing with the real values. we have then:

3 * t + 25 * t = 9

3t + 25 t= 9 or 25t + 3t = 9

Now, let's find the value of t:

25t + 3t = 9

28t = 9

t = 9/28 (Dividing by 28 at both sides)

t = 0.3214

converting the value of t to minutes, we have:

0.3214 * 60 = 19.2857 = 19 minutes and 18 seconds approx.

Mike and Jamal will meet after 19 minutes and 18 seconds ≅