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It was estimated that 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many numbers of days, more than the original estimate, will be required to complete the strip?

It was estimated that 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many numbers of days, more than the original estimate, will be required to complete the strip? Correct Answer 3 days

Concept:

M1 × D1 = M2 × D2

Where,

M1 = Number of men in initial condition, M2 = Number of men in final condition

D1 = Number of days required in the initial condition,

D2 = Number of days required in the final condition

Calculation:

Given:

M1 = 52,

D1 = 10, M2 = 52 - 12 = 40,

D2 = ?

52 × 10 = 40 × D­2

∴ D2 = 13 days

Now,

Numbers of days more than the original estimate is equal to:

Number of days required in the final condition - Number of days required in the initial condition

∴ Numbers of days more than the original estimate = D2 – D1

∴ Numbers of days more than the original estimate = 13 – 10

∴ Numbers of days more than the original estimate = 3 days

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