Surya and Manoj can complete a work in 54 days if they work together. However, due to some reasons, Surya left the work 24 days before the completion of work, after that Manoj completed the remaining work in 96 days, then find in how many days Surya can complete the whole work if he works alone. ?

Question

Surya and Manoj can complete a work in 54 days if they work together. However, due to some reasons, Surya left the work 24 days before the completion of work, after that Manoj completed the remaining work in 96 days, then find in how many days Surya can complete the whole work if he works alone. ?

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LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 : 72

Given :

Surya and Manoj can complete a work in 54 days if they work together.

Surya left the work 24 days before the completion of the work.

Concept used :

Total work = work efficiency × Total time

Calculation :

Total work = 54 units

Surya and Manoj per day work = 54/54

⇒ 1 unit

Surya left the work 24 days before the completion.

So they worked together for 30 days (54 - 24 = 30)

Work completed by them in 30 days = 30 × 1

⇒ 30 units

Remaining work = 54 - 30

⇒ 24 units

Manoj can complete this remaining work in 96 days

Manoj's per day work = 24/96

⇒ (1/4) units

Manoj per day work + Surya per day work = 1 unit

Surya per day work = (3/4) unit

Time taken by Surya to complete whole work (54 units) alone = 54/(3/4)

⇒ 72 days

∴ Option 1 will be the correct choice.