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A alone would take 64 hours more to complete a work then A + B work together. B take 4 hours more to complete a work alone than A and B work together.Find in how much time A alone complete the work.

(A)

16 hours

(B)

80 hours

(C)

72 hours

(D)

48 hours



Answer: (B)

Explanation:

Let A and B take x hours to complete a work together. 
A alone would take (x + 64) and B alone would take (x + 4)hours to complete the work. 
A( x + 64) = x (A + B) 
64A =x B …………(1) 
B(x + 4)= x(A + B) 
4B = x A……………(2) 
from (1)and (2) 
64A = x * x A/4 
x2 = 256 
x = 16 
A alone = 16 + 64 = 80 hours 

 


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Last Updated : 03 Sep, 2021
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