Question

A can do a piece of work In 14 days while 13 can do it In 21 days. They began together and worked at It for 6 days. Then. A fell ill and B had to complete the remaining work alone. In how many days was the work completed?

Solution

A's 1 day's work =114

B's 1 day's work =121

A and B's 1 day's work =114+121=3+242=542

A and B's 6 days work =542×6=57

Remaining work =1−57=27

B will finish 27 work in =27×21=6 day ∴ The whole work will finish in =6+6=12 days

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