Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-On a road trip, five friends drove at 50 miles per hour to California. On the way home, they took the same route but drove 75 miles per hour. How many miles did they drive on the way to California if the round trip took 10
Hours?
A) 600 miles
B) 6 miles
C) 1500 miles
D) 300 miles

Question

Quizplus · Accepted Answer

Let the distance the friends drove on the way to California be d. Then, the distance they drove on the way back is also d.

We know that the total time of the round trip is 10 hours. We can set up an equation using the formula: distance = rate x time

d/50 + d/75 = 10

To solve for d, we can simplify the equation by finding a common denominator:

(3d + 2d)/150 = 10

5d/150 = 10

d = 300 miles

Therefore, the answer is D. Let's call the distance they traveled to California "x" (in miles).

We can use the formula:

time = distance / speed

On the way to California:

time = x / 50

On the way back:

time = x / 75

The total time for the round trip is given as 10 hours:

total time = time to California + time back

10 = x/50 + x/75

To solve for x, we'll need to first find a common denominator:

10 = 3x/150 + 2x/150

10 = 5x/150

Multiplying both sides by 150:

1500 = 5x

x = 300

Therefore, the answer is D) 300 miles.

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