A is twice as good as b it takes 16 days if they work together when can a alone finish the job

75.

A and B undertake a piece of work for ₹ 250/-. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If everyone gets paid in proportion to work done by them, the amount C will get is:

  • ₹ 50/-

  • ₹ 100/-

  • ₹ 150/-

  • ₹ 150/-

A.

₹ 50/-

A's 1 day's work = 

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

B's 1 day's work = 

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

(A + B + C)'s 1 days work = 

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

C's 1 day's work:

              

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

Ratio of workdone by A, B and C:

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

A is twice as good as b it takes 16 days if they work together when can a alone finish the job

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10 Questions 20 Marks 12 Mins

Given:

Efficiency of A = 2 × Efficiency of B

They together can complete the whole work in 18 days

Concept Used:

Work = Efficiency × Time

Calculation:

We have 

Efficiency of A : Efficiency of B = 2 : 1

Efficiency of (A + B) = 3

Total Work = 3 × 18 = 54 units 

A alone can do this work in 54/2 days    [Total work/efficiency of A]

⇒ 27 days.

∴ The time taken by A to complete the work is 27 days.

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Correct Answer:

Description for Correct answer:

B A 1 2\( \Large \rightarrow Efficiency ratio \) Total work =\( \Large 16 \times \left(1+2\right)=48 \) No. of days taken by A to complete the work

=\( \Large \frac{48}{2}=24 \) days


Part of solved Time and work questions and answers : >> Aptitude >> Time and work

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