Radhe does 70 of some work in 15 days Later with Shyam rsquo s help she completes the remaining work...........

Quant (SSC) Time and work

Radhe does 70% of some work in 15 days. Later, with Shyam’s help, she completes the remaining work in 4 days. In how many days can Shyam alone complete the entire work?

35.4 days

35.2 days

35.3 days

40 days

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Explanation:

Let total work = 150 units
Since Radhe does 70% of the work (i.e. 105 units) in 15 days,
Radhe = 105/15 = 7 units per day
Work left = 150 − 105 = 45 units
Let Shyam do x units of work per day. Shyam and Radhe finish the pending work in 4 days.
∴ 4(x + 7) = 45
∴ 4x = 45 − 28 = 17 i.e. x = 4.25 units
∴ Time taken by Shyam to complete the work = 150/4.25 = 35.29 ≈ 35.3 days