Question

Anil, Benny and Cyril work for
a ship building company. Anil
can build a ship in 10 days while
Benny can build the same ship
in 8 days. Working together, all
three of them can build a similar
ship in 4 days. In how many days
can Cyril alone build it?​

Answer 1

Answer:

Cyril will alone build a ship in 12 days

Answer 2

Answer:

Cyril will take 40 days to build the ship

Step-by-step explanation:

given, anil can build a ship in 10 days

Benny can build the same ship in 8 days

all three of them can build a similar ship in 4 days

to find: number of days taken by Cyril to build the same ship

anil's one day work = $\frac{1}{10}$

benny's one day work = $\frac{1}{8}$

together, they can complete $\frac{1}{4}$ th the work in 4 days

let time taken by Cyril be "x" days

$\frac{1}{t}= \frac{1}{t1} +\frac{1}{t2} + \frac{1}{t3}$

$\frac{1}{4} = \frac{1}{10}+\frac{1}{8}+\frac{1}{x}$

$\frac{1}{4}$ = $\frac{8+10}{8*10}$ + $\frac{1}{x}$

 $\frac{1}{x}$ = $\frac{1}{4}-\frac{18}{80}$

  $\frac{1}{x}$   = $\frac{1}{40}$

x = 40

thus, Cyril will take 40 days to build the ship