Question

Ramit can finish his work in 25 days, working eight hours a day. If he wants to finish the same work in 20 days, how many hours should he work in a day?​

Answer 1

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

$\:\:$

• Ramit can finish his work in 25 days, working eight hours a day

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

$\:\:$

• Hours he need to work per day to finish the work in 20 days

$\:\:$

$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

$\:\:$

Let the hours he need to work per day to finish the work in 20 days be "h"

$\:\:$

Initially in this question will calculate the total hours Ramit need to work to finish his work

$\:\:$

$\underline{\bold{\texttt{Total hours required to finish the work :}}}$

$\:\:$

➠ T = D × H ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• T = Total hours required to finish work

• D = Total days he worked

• H = Hours he worked daily

$\:\:$

Case I [ Working 8 hours per day ]

$\:\:$

• T = T

• D = 25

• H = 8

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

➜ T = D × H

$\:\:$

➜ T = 25 × 8

$\:\:$

➜ T = 200

$\:\:$

• Hence Ramit need to work for total 200 days to finish his work

$\:\:$

Case II [ Working "h" hours per day ]

$\:\:$

• T = 200

• D = 20

• H = h

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

➜ T = D × H

$\:\:$

➜ 200 = 20 × h

$\:\:$

➜ $\sf h = \dfrac { 200 } { 20 }$

$\:\:$

➨ h = 10

$\:\:$

• Hence Ramit need to work for 10 hours per day to finish the work in 20 days