Chain Rule Practice Test 1 with solutions

Question : 29 of 40

Marks: +1, -0

If 15 men can do a certain amount of work in 20 days working 8 hours a day, in how many days will 10 men do three times the work working 6 hours a day?

120 days
70 days
100 days
None of these

Validate

Solution:

We have to find the number of days, so we compare each of the other items with the number of days, as given below:
Less men, more days required (Indirect Proportion)
Less hours per day, more days required (Indirect Proportion)
More work, more days required (Direct Proportion)
Therefore,

Men	Work	hours/day	Days
15	1	8	20
10	3	6	x

Since,

x/{20}

{15}/{10} × 3/1 × 8/6

∴ x =

{15×3×8×20}/{10×1×6}

= 120 days

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