alice and bob can complete a work in 4 days together. if alice alone can complete the same work in 12 days , how manu days can bob alone complete the work?
Answers
Given :- Alice and bob can complete a work in 4 days together. if alice alone can complete the same work in 12 days , how many days can bob alone complete the work?
a) 4
b) 5
c) 6
d) 7
Solution :-
LCM of 4 and 12 = 12 units = Let total work .
so,
→ Efficiency of (Alice + bob) = (Total work) / (Total days) = (12/4) = 3 units/day .
and,
→ Efficiency of Alice = (Total work) / (Total days) = 12/12 = 1 unit / day.
then,
→ Efficiency of bob = Efficiency of (Alice + bob) - Efficiency of Alice = 3 - 1 = 2 units/day.
therefore,
→ Time taken by bob alone = (Total work) / Efficiency = 12/2 = 6 days. (C) (Ans.)
Hence, Bob alone can complete the work in 6 days.
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Answer:
the answer is 8
Step-by-step explanation:
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