Direction Following are the questions based on two statements and answer the following based on the ...........

Quantitative Aptitude(IBPS CL) Data Sufficiency

Direction (): Following are the questions based on two statements and answer the following based on the given statements

C alone can complete the work in 15 days. In what time C and A together can complete the whole work.

Statement I. A is 25% more efficient than B and B alone can complete the work in 20 days

Statement II. Difference between the time taken by A alone and B alone to complete the work is 2212 days and time taken by C alone to finish the work is 10% more than the time taken by A and B together to complete the work.

Statement I alone is sufficient to answer the question while statement II alone is not sufficient to answer the question

Statement II alone is sufficient to answer the question while statement I alone is not sufficient to answer the question

Both statements I and II together are required to answer the question.

Either the statement I alone or Statement II alone is sufficient to answer the question

Question cannot be answered from any of the given statements or from both the statements.

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Explanation:

From I –
Ratio of efficiency of A to B is 5 : 4
So,
Ratio of time taken by A : B is 4 : 5
From I we can calculate the time taken by A alone to complete the work
Hence statement I alone is sufficient to answer the question
From II –
From II we can say that either A takes more time than B or vice versa.
Let A takes (x+45/2) days and B takes x days. So, time taken by A and B together to complete the work will be = 15×10/11 days
ATQ,
from here x can be calculated and we can find the value of time taken by A alone to complete the work.