Estimation question

How much time does it take to send an email to Mars?

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What this question tests

Estimation with physical constraints: can you reason through a distance and speed problem using a real limiting factor, the speed of light, instead of guessing.

How to approach it

  1. Identify the real constraint: email travels at the speed of light through radio signal, roughly 300,000 kilometers per second.
  2. Estimate the distance to Mars, which varies, assume an average working distance of about 225 million kilometers.
  3. Divide distance by speed: 225 million divided by 300,000 gives roughly 750 seconds, about 12 to 13 minutes one way.
  4. Add any processing delay, like relay through the Deep Space Network, assume a small buffer of a minute or two.
  5. State the final answer as a range, roughly 4 to 24 minutes depending on planetary alignment, since Mars distance varies a lot.
  6. Note this is a physics estimation question, so the goal is showing the reasoning chain, not perfect precision.

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