Question:

20 labors engaged in a farm-operation on paddy farm for 6h. In an ideal conditions, how much maximum energy is utilized by labors into the farm?
(A)8.94 kWh
(B)120 kWh
(C)12 hPh
(D)240 hPh
Choose the correct answer from the options given below:

Show Hint

Take 0.1 hp per laborer, multiply by number of workers and hours, then convert hp-h to kWh to check which pair matches.
  • (A), and (C) only.
  • (B) and (D) only.
  • (C) and (D) only.
  • (B) and (C) only.
Show Solution
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The Correct Option is A

Solution and Explanation

Step 1: Under ideal working conditions, the standard rating for continuous human labor is taken as 0.1 hp per person.
Step 2: Total power for 20 laborers is \( 20 \times 0.1 = 2 \, \text{hp} \). Energy used over 6 hours is \( 2 \times 6 = 12 \, \text{hp-h} \), which matches option (C).
Step 3: Converting to kWh using \( 1 \, \text{hp} = 0.746 \, \text{kW} \): \( 12 \times 0.746 = 8.95 \, \text{kWh} \), which rounds to the 8.94 kWh given in option (A). So (A) and (C) represent the same energy value in two different units, and both are correct while (B) and (D) are far too large.
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