Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p. m. traveling at an average rate of 55 mph. The other car leaves at 4:00 p. m. traveling at an average rate of 75 mph. How many hours after the first car leaves will the two cars be 380 mi apart?

Let x represent the number of hours after the first car leaves.

Enter an equation that can be used to solve this problem in the first box. Solve for x and enter the number of hours in the second box.

Question

Hudson Freeman

Mathematics

12 December, 00:06

Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p. m. traveling at an average rate of 55 mph. The other car leaves at 4:00 p. m. traveling at an average rate of 75 mph. How many hours after the first car leaves will the two cars be 380 mi apart?

Let x represent the number of hours after the first car leaves.

Enter an equation that can be used to solve this problem in the first box. Solve for x and enter the number of hours in the second box.

+3

Answers (1)

Know the Answer?

Journey Hunt · Answer 1

To answer this item, we let x be the number of hours after 3:00 pm, that the cars will be 380 miles apart. The distance is equal to the product of time and speed. The equation that would best represent the given is,

75 (x - 1) - 55x = 380

The value of x from the equation is 22.75 hours.