Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

Mohit is five times efficient as Rohit. If Mohit can complete a piece of work in 28 days less than Rohit, then in how many days can Rohit alone complete the same work?

Options:

35 days

32 days

45 days

40 days

Correct Answer:

35 days

Explanation:

Given,

Mohit is five times efficient as Rohit,

Mohit : Rohit = 5 : 1  (Efficiency)

⇒ Formula to be used,

\( { M}_{1 } \) x \( { D}_{1 } \)  = \( { M}_{2 } \) x \( { D}_{2 } \)

where, M = No. of men, D = No. of Days,

⇒ 5 x (D - 28) = 1 x D

⇒ 5D - 140 = D

⇒ 4D = 140,

⇒ D = 35 days,

Therefore, Rohit alone complete the same work in 35 days.