2026 AMC 8 Problem 5: Solution

Work through 2026 AMC 8 Problem 5 on rate and time with a written solution, hints, and a visual explanation.

AlgebraLevel 1 · Warmup

Casey went on a road trip that covered 100 miles, stopping only for a lunch break along the way. The trip took 3 hours in total and her average speed while driving was 40 miles per hour. In minutes, how long was the lunch break?

  • A. 15
  • B. 30
  • C. 40
  • D. 45
  • E. 60
Hints
  1. Separate the total trip time into driving time and lunch-break time.
  2. Use distance = speed × time to find how long Casey actually spent driving.
  3. Subtract the driving time from the total 3 hours, then convert the remainder to minutes.
Read the step-by-step solution

Answer: B · 30 minutes

  1. Find driving time

    Driving time = distance ÷ speed = 100 ÷ 40 = 2.5 hours.

    100 ÷ 40 = 2.5 hours

  2. Find lunch break

    Lunch break = total time − driving time = 3 − 2.5 = 0.5 hours = 30 minutes.

    3 − 2.5 = 0.5 hours = 30 min

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