Question
Anupam can do a piece of work in 36 days and Rajveer can
do it in 15 days. Diksha can do the same work in (17/18) times the number of days required by both Anupam and Rajveer together. Initially Anupam and Rajveer worked together for 8 days and then both left. Diksha completed the rest of the work. For how many days did Diksha work?Solution
ATQ, we can say that the Part of the work done by Anupam and Rajveer in one day is = [1/36 + 1/15] = 17/180 Number of days required by Diksha to complete the entire work alone = (17/18) × (180/17) = 10 days. 8 × (17/180) = (34/45) work completed by Anupam and Rajveer. Leftover work for Diksha is = (11/45)th work. Then number of days for which Diksha will worked is = [(11/45) × (10/1)] = (22/9) days
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