Mark against the correct answer in the following: 12 workers take… - Vidyadip

MCQ

Mark against the correct answer in the following: $12$ workers take $4$ hours to complete a job. How long would it take $15$ workers to complete the job$?$

A
$2$ hrs $40$ min
✓
$3$ hrs $12$ min
C
$3$ hrs $24$ min
D
$3$ hrs $30$ min

✓

Answer

Correct option: B.

$3$ hrs $12$ min

$12$ workers take to complete the work $= 4$ hrs.
$1$ worker will take $= 4 × 12$ hrs. $($less worker, more time$)$
$15$ workers will take $=\frac{4\times12}{15}$ hrs. $($more workers, less time$)$
$=\frac{16}{5}\text{ hr}=3\text{ hrs. }12\text{ min} $

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