There are three trucks A , B , C. A loads 10 kg/min. B loads 13½ kg/min . C…

2024

There are three trucks A , B , C. A loads 10 kg/min. B loads 13½ kg/min . C unloads 5½ kg/min . If three simultaneously works then what is the time taken to load 2.18 tones?

  1. A.

    2hours

  2. B.

    1hour

  3. C.

    2½ hours

  4. D.

    1½ hours

Attempted by 16 students.

Show answer & explanation

Correct answer: A

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Corrected solution:

  • Convert the rates to kg/min: A = 10 kg/min, B = 13½ = 13.5 kg/min, C unloads 5½ = 5.5 kg/min.

  • Net loading rate = 10 + 13.5 − 5.5 = 18 kg/min.

  • Total to load = 2.18 tonnes = 2180 kg.

  • Time = 2180 ÷ 18 = 121.111... minutes ≈ 121 minutes and 7 seconds ≈ 2 hours 1 minute.

  • Conclusion: The precise time is about 2 hours 1 minute. The option stating '2hours' is slightly low (about 1 minute short).

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