Question

Do the Math: Sasha and her friends go for an hour-long drive. For most of the time, they are able to travel at the speed of 50 mi/h. However, they hit some traffic and during that time, they are only able to drive 20 miles. Let "C" represent the time stuck in traffic in minutes. Write an expression for the distance Sasha and her friends travel and simplify it.

Answer 1

The expression for the distance Sasha and her friends travel is (3000 miles - 30C miles).

Step-by-step explanation:

To write an expression for the distance Sasha and her friends travel, we can break down the hour-long drive into two parts:

Part 1: Time spent driving at 50 mi/h = 60 - C minutes (C represents the time stuck in traffic)

Part 2: Time spent driving at 20 mi/h = C minutes

Now, we can calculate the distance traveled in each part using the formula: distance = speed x time.

Distance traveled in Part 1 = 50 mi/h x (60 - C) minutes

Distance traveled in Part 2 = 20 mi/h x C minutes

To simplify the expression, we can first distribute the multiplication:

Distance traveled in Part 1 = 50 mi/h x 60 minutes - 50 mi/h x C minutes

Distance traveled in Part 2 = 20 mi/h x C minutes

Simplifying further, we get:

Distance traveled in Part 1 = 3000 - 50C miles

Distance traveled in Part 2 = 20C miles

Therefore, the total distance Sasha and her friends travel is the sum of the distances in both parts:

Total distance = (3000 - 50C) miles + 20C miles

Simplifying the expression:

Total distance = 3000 miles - 30C miles