Indian Institute of Foreign Trade 2017 Solved Paper

Question : 59 of 114

Marks: +1, -0

Somesh, Tarun and Nikhil can complete a work separately in 45, 60 and 75 days. They started the work together but Nikhil left after 5days of start and Somesh left 2days before the completion of the work. In how many days will the work be completed?

25 $1/7$
50 $1/7$
35 $5/7$
40 $5/7$

Validate

Solution:

Choice (A) Let the total work be of 900 units, thus Somesh does 20 units per day, Tarun does 15 units per day and Nikhil does 12 units per day. Since all three started the work together, the number of units completed in first 5 days

= (20+15+12)×5 = 235

units. The remaining work will be 900 – 235 = 665 units. Further, it is menioned that Nikhil left after 5 days and Somesh left 2 days before completion thus, for last two days Tarun was working alone and the work completed by him in last two days will be

15×2 = 30

units. The remining work 665 – 30 = 635 units will be completed by Taun and Somesh.

Therefore the total time in which the work will be completed will be

{ 635 }/ { 35 } + 7 = 25 { 1 }/ { 7 }

days.

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