a and b work together in 30 days they worked 10 days and after that with the help of c work will end in next 10 days if b's 3 days work is equal to c 2 days work in how many days A alone will complete the entire work?
Answers
Step-by-step explanation:
a and b work together in 30 days they worked 10 days and after that with the help of c work will end in next 10 days if b's 3 days work is equal to c 2 days work in how many days A alone will complete the entire work?
A can complete work alone in 45 Days.
GIVEN: A and B complete work together in 30 days.
TO FIND: Time is taken by A alone to complete the work.
SOLUTION: As we are given in the question,
Time is taken by A and B together = 30 days.
B left work after working for 20 days.
Time is taken by A to complete the rest of the work.
Now,
Let us assume that the work done by A and B is 30 units.
Then, According to the question,
Work done by A and B together = 20 units
Work remaining = 10 unit [ 30 - 20 units ]
Since B left it took A to complete the Remaining work in 15 days.
Therefore,
An alone complete 10 units of work in 15 days
Using the efficiency formula,
The efficiency of A = 10/15 units
= 2/3 units
Therefore,
The time is taken by A alone to complete 30 units of work = 30 * 2/3
= 45 Days
Therefore, A took 45 days to complete the work alone.
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