3
algebra

A car travels at xx mph for 3 hours and then x+10x+10 mph for 2 hours. Total distance is 270 miles. Find xx.

A

50

B

40

C

60

D

45

Correct Answer: A

Choice Dhoice D is the correct answer.

  1. Equation: 3x+2(x+10)=2703x + 2(x + 10) = 270
  2. Simplify: 3x+2x+20=2703x + 2x + 20 = 270
  3. Combine: 5x+20=2705x + 20 = 270
  4. Subtract 20: 5x=2505x = 250
  5. Divide by 5: x=50x = 50
  6. Verify: 150+120=270150 + 120 = 270 ✓

Choice Dhoice B is incorrect because calculation error.

Choice Dhoice A is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.

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Linear Functions Set 32