Multiple choice

A rectangular playground measures 120 meters (length) × 119 meters (breadth). If a person travels across its diagonal at a speed of 1 meter per second, then how much time will he take to reach the other corner of the playground?

  1. 1 minute 13 seconds

  2. 2 minutes 27 seconds

  3. 2 minutes 49 seconds

  4. 2 minutes 54 seconds

  5. 3 minutes 25 seconds
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C Correct answer
Explanation

The diagonal length is sqrt(120^2 + 119^2) = sqrt(14400 + 14161) = sqrt(28561) = 169 meters. At 1 m/s, it takes 169 seconds, which is 2 minutes and 49 seconds.

AI explanation

Using the Pythagorean theorem, the length of the diagonal is the square root of (120 squared + 119 squared), which equals the square root of 28561, or 169 meters. The time taken to travel this distance is calculated using the formula time equals distance divided by speed, giving 169 divided by 1 equals 169 seconds. Converting this time gives 2 minutes and 49 seconds.

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