Question

Asheesh can paint the doll in 20 min. and his sister Chinki can do so in 25 min. They paint the
oll together for 5 min. At this juncture they have a quarrel and Chinki withdraws. In how many
inutes will Asheesh finish painting the remaining doll?
ish can paint the doll in 20 min.

Answer 1

Ashish will finish the painting of the remaining idol in 11 minutes.

• Let the total idol be taken as 1.

• Given,

Time taken by Ashish to paint the entire idol alone = 20 minutes

=> Part of the idol painted by Ashish in 1 minute = 1 / 20

• Also given,

Time taken by Chinki to paint the entire idol alone = 25 minutes

Part of the idol painted by Chinki in 1 minute = 1 / 25

• Part of the idol painted by Ashish and Chinki together in 1 minute = ( 1 / 20) + ( 1 / 25 )

L.C.M. of 20 and 25 is 100.

∴  ( 1 / 20) + ( 1 / 25 ) = [ (1 × 5) + (1 × 4) ] / 100

= (5 + 4) / 100

= 9 / 100

• Part of the idol painted by Ashish and Chinki together in 5 minutes = ( 9 / 100 ) × 5

= ( 9 × 5 ) / 100

= 9 / 20

• Now, part of the idol still left to be painted = 1 - ( 9 / 20 )

= [ (1 × 20) - 9 ] / 20

= ( 20 - 9 ) / 20

= 11 / 20

• Since Chinki leaves after 5 minutes, 11 / 20 parts of the idol has to be painted by Ashish alone.

• As stated before, Ashish takes 20 minutes to paint the entire idol, therefore, he will take lesser time to paint 11 / 20 parts of the idol.

• Thus, time taken by Ashish to paint 11 / 20 parts of the idol = (11 / 20) × 20 minutes = 11 minutes (Answer)

hope this helps , drop in a thanks , mark as brainliest x

Answer 2

$\huge\fbox\blue{Answer}:-$

$\fbox\green{Given}:-$

Asheesh can paint the doll in 20 min. and his sister Chinki can do so in 25 min. They paint the all together for 5 min.

$\fbox\green{To~Find}:-$

In how many minutes will Asheesh finish painting the remaining doll?

$\huge\fbox\red{Solution}:-$

$\bold{Asheesh~ can~ paint ~the~ doll~ in ~20 ~min.}$

$∴~Portion ~of ~doll~ painted~ by ~Asheesh~ in ~1~ min.~=~\frac{1}{20}$

$\bold{Chinki~can~ paint~ the ~doll~ in~ 25~minutes.}$

$∴~Portion~of~doll~painted~by~chinki~in~1~min.~=~\frac{1}{25}$

____________________________________

$∴~Portion~of~doll~painted~by~chinki~and~asheesh~together~in~1~min.~=~\frac{1}{20}+\frac{1}{25}=\frac{5+4}{100}=\frac{9}{100}$

$∴~Portion~of~doll~painted~by~chinki~and~asheesh~together~in~5~min.~=~\frac{9}{100}\times 5~=~\frac{9}{20}$

$∴~Portion~remaining~unpainted~=~1 - \frac{9}{20}~=~\frac{11}{20}$

$∴\purple{~Asheesh~can~paint~the~whole~doll~in~20~minutes.}$

$\underline{∴~Asheesh~can~paint~the~remaining~portion~in~\frac{11}{20}\times20min.~=~11~minutes.}$

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