Question

A can complete a work in 64 days. he woked for 24 days and left the work. a second person b can do two fifth of the remaining work in 15 days then in how many days b can do the whole work alone? solutiin

Answer 1

60 Days will be the answer

Answer 2

Answer:

In 60 Days B can do the whole work.

Step-by-step explanation:

Given: No of days taken by A to do a work = 24

To find: No of days taken by B to do same work.

Let x be the amount of work.

So, Work done by A in 64 days  = x

⇒ Work done by A in 1 day =  $\frac{x}{64}$

Work done by A in 24 days = $\frac{x}{64}\times24=\frac{24x}{64}$

⇒ Work left by A = $x - \frac{24x}{64}$

                            =  $\frac{64x-24x}{64}$

                            =  $\frac{40x}{64}$

Work done by B in 15 days = $\frac{2}{5}\times\frac{40x}{64}\:=\:\frac{x}{4}$

So, No of days taken by B to do $\,\frac{x}{4}\:work$ = 15

⇒ No. of days taken by B to do x work = 15 × 4 = 60

Therefore, In 60 Days B can do the whole work.