Question

Rajeeb, Debangana, Masum and Tajmira can do 150 sums in 6 days. Let us find, in how many days
will Rajeeb and Tajmira finish 250 sums if each of them does equal number of sums everyday. ( In Unitary Method )​

Answer 1

Answer:

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Answer 2

Given :- Rajeeb, Debangana, Masum and Tajmira can do 150 sums in 6 days.

To Find :-

• In how many days will Rajeeb and Tajmira finish 250 sums if each of them does equal number of sums everyday. ?

Solution :-

Let us assume that, Rajeeb and Tajmira finish 250 sums in x days .

we know that, according to unitary method,

• M1 * D1 * W2 = M2 * D2 * W1
• M1 = Number of men in first case .
• M2 = Number of men in second case .
• D1 = Number of days in first case .
• D2 = Number of days in second case .
• W1 = Work done in first case .
• W2 = Work done in second case .

since it is given that, each of them does equal number of sums everyday. So, efficiency of each one of them is same .

then,

• M1 = Rajeeb, Debangana, Masum and Tajmira = 4
• M2 = Rajeeb and Tajmira = 2
• D1 = 6 days .
• D2 = x days .
• W1 = 150 sums .
• W2 = 250 sums .

putting all values we get,

→ 4 * 6 * 250 = 2 * x * 150

→ 2 * 6 * 25 = 15x

→ 2 * 6 * 5 = 3x

→ 2 * 2 * 5 = x

→ x = 20 days (Ans.)

Hence , Rajeeb and Tajmira finish 250 sums in 20 days .

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