Question

Pradeep has done 1/4thof a job in 14 days, saquib completes the rest of the job in 56 days. in how many days can they together complete the job?

Answer 1

please mark it as a brainliest answer

Answer 2

In 32 days they can together complete the job.

Step-by-step explanation:

Given:

Here Pradeep has done $\frac{1}{4}$ th of a job in 14 days and Saquib completes the rest of the job in 56 days.

We know that,

Work done = Efficiency × Time taken

Let’s assume the total work done to be ‘1’, Pradeep’s efficiency be ‘P’ and Saquib’s efficiency be ‘S’

According to the given information,

For Pradeep

⇒ $P \times 14 =\frac{1}{4}$

⇒ $P = \frac{1}{4\times 14}$

⇒ $P =\frac{1}{56}$                              [1]

For Saquib

⇒ $S \times 56 = \frac{3}{4}$

⇒ $S = \frac{3}{56\times4}$

⇒ $S = \frac{3}{224}$                         [2]

If they work together, let’s assume they take ‘T’ days.

⇒ $(P + S) \times T = 1$

⇒  $(\frac{1}{56}  + \frac{3}{224} ) \times T = 1$        [ from 1 and 2 ]

⇒ $(\frac{224+3\times56}{56\times224} )\times T=1$

⇒ $(\frac{392}{12544} )\times T=1$

⇒ $T=\frac{12544}{392}$

⇒ T = 32  days

Therefore in 32 days they can together complete the job.