Question

18. P can complete a job in 60 days. Q is 25% less
efficient than P. Find the time in which Q can complete
it (in days).
(A) 75 (B) 80 (C) 90 (D) 45​

Answer 1

Answer:

a) 75

Step-by-step explanation:

because 60 days + 25•/• and 60 days ka 25•/•= 15

so,60+15=75

Answer 2

Q can complete the work in 80 days. hence the correct option is (B).

P can complete a job in 60 days. Q is 25% less efficient than P.

We have to find the time in which Q can complete.

• It is question based on time and work.
• The most important fundamental concept of time and work is, efficiency of a person is inversely proportional to time taken by it to do the work.
• In short, E₁/E₂ = D₂/D₁

Here Q is 25 % less efficient than P

means, If P = 100 then, Q = 75

∴ Efficiency ratio of P and Q = 100/75 = 4/3

As We know, efficiency inversely proportional to time taken to do the work.

∴ the ratio of time taken by P and Q = 3/4 [ because ratio of efficiency is 4/3 ]

Let proportionality constant is x

so time taken by P = 3x and time taken by Q = 4x

∵ Time taken by P to complete the work = 60

so, 3x = 60 ⇒x = 20

now Time taken by Q to complete the same work = 4x = 4 × 20 = 80 days.

Therefore time taken to complete the work by Q is 80 days.

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