Question:-
Anu and Bina take 240 h to finish a
task. Bina can finish it alone in 30
days, working for half a day, every
day. How many days will Anu take,
working 10 h a day, to finish the task?
Answers
Given :- Anu and Bina take 240 h to finish a task. Bina can finish it alone in 30 days, working for half a day, every day. How many days will Anu take, working 10 h a day, to finish the task ?
Solution :-
given that,
→ Anu and Bina can finish a task in = 240 h .
So,
→ Per day work of (Anu + Bina) = 1/240 .
also,
→ Total days taken by Bina to finish the task alone = 30 days.
and,
→ Bina works per day = 12 hours.
then,
→ Total time taken by Bina = 12 * 30 = 360 hours.
then,
→ Per day work of Bina = 1/360 .
therefore,
→ Per day work of Anu = 1/240 - 1/360 = (3 - 2)/720 = 1/720 .
hence,
→ Time taken by Bina to finish the task = 720 hours = (720/10) = 72 days. (Ans.)
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