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S can finish a piece of work in 12 days. He works for 4 days and R finishes the remaining work in 12 days. In how many days can they finish the work t
Question

S can finish a piece of work in 12 days. He works for 4 days and R finishes the remaining work in 12 days. In how many days can they finish the work together?

A.

7.2

B.

6.5

C.

7.5

D.

7

Correct option is A

Step by Step Solution:
Step 1
Let total work is 36.

Step 2
S's capacity: 1/12 work per day.
R's capacity: 1/12 work per day.
Calculate efficency of S.
36 * 1/12 = 3.

Step 3
S's work done in 4 days: 4 * 3 = 12.

Step 4
Remaining work: 36 - 12 = 24.

Step 5
Calculate R efficency.
24 * 1/12 = 2.

S and R's combined capacity: 3 + 2 = 5 work per day
S and R's combined Time: 36/5 = 7.2 days

Final Answer:
S and R together can finish the work in 7.2 days.

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