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Two articians M and N are prevented from doing one work. If M works alone it takes 8 hours more than the working together and if N works alone it takes 4.5 hours more than the working together then how long will it take them both to work together?

Two articians M and N are prevented from doing one work. If M works alone it takes 8 hours more than the working together and if N works alone it takes 4.5 hours more than the working together then how long will it take them both to work together? Correct Answer 6 hours

Assume M + N will take x hours for working together

GIVEN:

⇒ M : M + N = x + 8 : x      ---(1)

⇒ M + N : N = x : x + 4.5     ---(2)

Formula used:

The time required to complete the full work in these types of the sum is = √(time1 × time2)

Calculation:

⇒ √(8 × 4.5)

⇒ √36 = 6

∴ M and N both will complete work together in 6 hours.

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