Time and Work Practice Test 1 with solutions

Question : 33 of 40

Marks: +1, -0

To do some work, A takes 10 days more than B and B takes 15 days less than C. C is 50% more efficient than D, who takes 50 days individually to finished the worked. In how many days can they do the work if they work simultaneously?

14 days
$15 5/9$ days
$13 3/7$ days
$12 1/5$ days
$11 1/{11}$ days

Validate

Solution:

Time taken by C =

{150}/{100} × 50

= 75 days
Time taken by B = 75 - 15 = 60 days
Time taken by A = 60 + 10 = 70 days
Part of work done by all of them in one day
=

1/{70}+1/{60}+1/{75}+1/{50}

{30+35+28+42}/{2100}

{135}/{2100}

9/{140}

So, time taken =

{140}/9

15 5/9

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