Two cars towards each other — one speed known by ratio: Two cars A and B start toward each other from points 88 km apart. Their speed ratio A:B is 5:6, and B’s speed is 90 km/h. After how many minutes will they meet?

Difficulty: Easy

Correct Answer: 32 min

Explanation:

Introduction / Context:Knowing a speed ratio and one absolute speed lets us compute the other speed, then use relative speed for meeting time.

Given Data / Assumptions:

  • Distance = 88 km
  • Speed ratio A:B = 5:6; B = 90 km/h ⇒ A = 75 km/h

Concept / Approach:Meeting time = distance / (sum of speeds).

Step-by-Step Solution:

Sum speed = 75 + 90 = 165 km/hTime = 88 / 165 h = 0.5333… h = 32 min

Verification / Alternative check:Distances: A covers 75 * 0.5333… ≈ 40 km, B covers ≈ 48 km; sum 88 km.

Why Other Options Are Wrong:They correspond to incorrect speed sums or unit conversions.

Common Pitfalls:Forgetting to convert hours to minutes correctly.

Final Answer:32 min

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