Sekar Pradeep and Sandeep can do a piece of work in 15 days After all the three worked for 2 days se...........

Quantitative Aptitude ( CCS) Time and work

Sekar, Pradeep and Sandeep can do a piece of work in 15 days. After all the three worked for 2 days, sekar left. Pradeep and Sandeep worked for 10 more days and Pradeep left. Sandeep worked for another 40 days and completed the work. In how many days can sekar alone complete the work if sandeep can complete it in 75 days?

25 days

20 days

30 days

35 days

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Explanation:

Explanation :
Assume the total work to be 600 units. (LCM of all the numbers)
Then Sandeep’s 1 day work = 8 units.
All three’s 1 day work = 40 units.All work together in the first 2 days
Work done in the first 2 days = 40 × 2 = 80 units
Sandeep alone works during the last 40 days
Work done in the last 40 days = 40 × 8 = 320 units
Remaining work = 600 – (320 + 80) = 200 units
This work is done by pradeep and sandeep in 10 days.
Pradeep and Sandeep together’s 1 day work = 20 units
Sekar’s 1 day work = All three 1 day work – Pradeep and Sandeep together’s 1 day work = 40 units – 20 units = 20 units
Sekar can do the work of 600 units in 30 days.