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Tricy Interview Questions on Time and Work

Time and Work - Aptitude

11.A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in:

A. 5 days

B. 10 days

C. 15 days

D. 20 days

x

 

Option: B

Explanation

(A + B)'s 1 day's work = 1/12

(B + C)'s 1 day's work = 1/15

(A + C)'s 1 day's work = 1/20

adding we get: 2(A + B + C)'s 1 day's work = (1/12) + (1/15) + (1/20) = 12/60 = 1/5

(A + B + C)'s 1 day's work = 1/10

so, A, B, and C together can complete the work in 10 days

Answer


12.A works twice as fast as B. If B can complete a work in 12 days independently the number of days in which A and B can together finish the work is:

A. 3 days

B. 6 days

C. 4 days

D. 8 days

x

 

Option:C

Explanation

ratio of rates of working of A and B = 2:1. so, ratio of times taken = 1:2

A's 1 day's work = 1/6

B's 1 day's work = 1/12

(A + B)'s 1 day's work = (1/6) + (1/12) = 3/12 = 1/4

so, A and B together can finish the work in 4 days

Answer


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