Time and Work Practice Test 2 with solutions

Question : 6 of 40

Marks: +1, -0

A is thrice as good a workman as B and takes 60 days less than B for doing a job. The time in which they can do it together is:

15 days
30 days
$22 1/2$ days
60 days

Validate

Solution:

Let the time taken by B = 3x days
A is thrice as good as B
So, time taken by A = x days
According to the statement,
3x - x = 60
2x = 60
x = 30
Work done by B =

1/{3x}

1/{90}

Work done by A =

1/x

1/{30}

Work done together =

1/{90}+1/{30}

{1+3}/{90}

4/{90}

2/{45}

Time taken =

{45}/2

22 1/2

days

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