Madhya Pradesh Police Exam Model Paper 1

Question : 69 of 100

Marks: +1, -0

Heena and Karan together complete a work in 12 days, if Heena works alone, she completes it in 18 days. Karan alone can complete it in how many days?

12 days
36 days
14 days
34 days

Validate

Solution:

Given:
Number of days taken, if Heena and Karan work together = 12 days
Heena alone completes the work in 18 days.
Calculation:
Let the number of days taken by Karan to complete work be x.
Work done in 1 days by Heena = (1/18)
Work done in 1 day by Karan = (1/x)
Work done in 1 day when both work together = (1/12)
According to question:

(1{/}18) + (1{/}x) = 1{/}12⇒ 1{/}x = (3 - 2){/}36 = 1{/}36

⇒ x = 36 days
∴ Karan completes the work in 36 days.

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