Time and Work | Arithmetic aptitude | Discussion Page

Ram and Raj together can complete a task in $7$ days. Raj alone can do it in $20$ days. What part of the work was carried out by Ram?

I. Ram completed the job alone after Ram and Raj worked together for $5$ days.

II. Part of the work done by Ram could have been done by Raj and Ravi together in $6$ days.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

Option A

Raj's $1$ day work $=\frac{1}{20}$

(Ram + Raj)'s $1$ day's work $=\frac{1}{7}$

I.(Ram + Raj)'s $5$ day's work $=\frac{5}{7}$

Remaining work $=\left(1-\frac{5}{7}\right)$ $=\frac{2}{7}$ .

$\therefore$ $\frac{2}{7}$ work was carried by Ram.

II. is irrelevent.

$\therefore$ Correct answer is (A).

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