Multiple choice

Robert is travelling on his cycle and has calculated to reach point $A$ at $2$ $p.m.$ If he travels at $10$ $kmph$, he will reach there at $12$ noon, if he travels at $15$ $kmph$, at what speed must he travel to reach $A$ at $1$ $p.m.$

  1. $8$ $kmph$
  2. $11$ $kmph$
  3. $12$ $kmph$
  4. $14$ $kmph$
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C Correct answer
AI explanation

Using the formula distance equals speed multiplied by time, the distance equation is 10 times (x plus 2) equals 15 times (x minus 2). Solving this equation gives 10x plus 20 equals 15x minus 30, so x equals 10 hours, which means the correct travel time for a 1 pm arrival is 9 hours. The total distance is 15 kmph times (10 minus 2) hours, which equals 120 km. To reach at 1 pm, the required speed is 120 km divided by 9 hours, yielding 12 kmph. The result is 12 kmph.

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