Time and Work Practice Test 2 with solutions

Question : 20 of 40

Marks: +1, -0

A garrison is provided with a ration for 72 soldiers to last for 54 days. Find how long would the same amount of food last for 90 soldiers, if the individual ration is reduced by 10%?

48 days
72 days
54 days
126 days

Validate

Solution:

1 day meal for 1 soldiers = x
1 day meal for 72 soldiers = 72x
54 days meal for 72 soldiers = 72x × 54 = 3,888x
Total ration = 3,888x
Now 1 day meal for 1 soldiers =

{9x}/{10}

1 day meal for 90 solders =

{9x}/{10} × 90

= 81 x
Number of days =

{3888x}/{81x}

= 48 days.

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