3 workers Peroola Rahul and Prashant can complete a piece of work in 6 days Peroola takes 15 days le...........

Quant (SSC) Time and work

3 workers Peroola, Rahul and Prashant can complete a piece of work in 6 days. Peroola takes 15 days less than Rahul to complete the same work. Find in how many days will Prashant complete the whole work alone with 75% of his original efficiency, if Rahul can complete the work alone in 35 days?

560/37 days

499/36 days

361/17 days

555/43 days

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Explanation:

Peroola + Rahul + Prashant = 6
Rahul = 35
Peroola = (35 – 15) = 20
Total units of work = 420
(Peroola + Rahul + Prashant)’s one day work = 70 units
Peroola’s one day work = 21 units
⇒ Rahul = 12 units
Prashant’s one day work = 70 – 33 = 37 units
Prashant’s efficiency to do the work alone
= 75 /100 x 37
Time required to complete the work
= 420 x 4 / 37 x 3 = 560 /37 days