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Alisha Khan

· started a discussion

· 1 Months ago

Q103 (Question:690369.0)

cant understant the solution

Question:

DIRECTIONS: In the following question, two statements numbered I and II are given, on solving them, we get quantities I and II respectively. Compare both the quantities and choose the correct option. 


Quantity I- A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job, B alone would take:


Quantity II- A man digs a trench in 6 days, another man can dig it in 10 days and a third man can dig it in 12 days working alone. How much time will they take to dig it together?

Options:
A)

Quantity I > Quantity II 

B)

Quantity I < Quantity II

C)

Quantity I ≥ Quantity II

D)

Quantity I ≤ Quantity II

E)

Quantity I = Quantity II or the relation can’t be determined   

Solution:

From Quantity I- 



So, the time taken by B alone to complete the work 

\(=\cfrac{12}{1.6}=7.5\) days


From Quantity II-  

one day work of all man together = 

\(\cfrac{1}{6}+\cfrac{1}{10}+\cfrac{1}{12}\)  
\(=\cfrac{10+6+5}{60}\)
 \(=\cfrac{21}{60}\)
\(\cfrac{60}{21}\ days\) will take in completing together.

Knowledge Expert

· commented

· 1 Months ago

Read the detailed solution after clicking on report
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