Running on a 10-mile loop in the same direction, Sue ran at a constant rate of 8 miles per hour and Rob ran at a constant rate of 6 miles per hour. If they began running at the same point on the loop, how many hours later did Sue complete exactly 1 more lap than Rob?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

(C) 5

Step-by-step explanation:

Let x represent number of hours.

We have been given that running on a 10-mile loop in the same direction, Sue ran at a constant rate of 8 miles per hour.

Distance covered by Sue in x hours would be miles.

We are also told that Rob ran at a constant rate of 6 miles per hour, so distance covered by Rob in x hours would be miles.

Since Sue needs to complete one more loop than Rob, so difference of distances covered by Sue and Rob's in x hours should be equal to 10 miles.

We can represent this information in an equation as:

Therefore, 5 hours later Sue will complete exactly 1 more lap than Rob and option C is the correct choice.

step-by-step explanation:

try remembering the steps

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,