Question

Find the distance that the herd traveled while the stray ran to catch up. Then write an expression for the total distance the herd traveled. Let x represent the distance (in miles) that the herd traveled while the stray elephant stood still.

• A. (x + 0.5) km
• B. (x + 0.5) miles
• C. (x - 0.5) miles
• D. (x - 0.5) km

Answer 1

Answer: (B)

(x + 0.5) miles

Given speed of the herd = 6 miles per hour
Now, stray elephant caught the herd in 5 minutes
Therefore, the distance covered by herd in the 5 minutes $=6\times \frac{5}{60}miles=\frac{30}{60}milesor0.5miles$
Given, x represents the distance (in miles) that the herd traveled while the stray elephant stood still.
Therefore, total distance travelled by herd = distance (in miles) that the herd traveled while the stray elephant stood still + distance covered by herd in the next 5 minutes = (x + 0.5) miles