Time and Work Practice Test 4 with solutions

Question : 31 of 40

Marks: +1, -0

Rohan can do a piece of work in 14 days, while Rahim takes 7 days more than that taken by Rohan to do the same work. Find the time taken by both of them to finish the work if they work alternatively starting with Rahim?

18 days
17 days
$17 2/3$ days
$17 1/3$ days
None of these

Validate

Solution:

Time taken by Rahim to finish the work = 21 days
Work done by Rahim and Rohan in 2 days
=

(1/{21}+1/{14})

5/{42}

Work done by Rahim and Rohan in 16 days
=

5{42} × 8

{20}/{21}

Work left =

1 - {20}/{21}

1/{21}

Work done by Rahim in one day =

1/{21}

So, total time taken to complete the work = 16 + 1 = 17 days

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