Time and Work - Arithmetic Aptitude Questions and Answers

Home / Arithmetic Aptitude / Time and Work :: Discussion

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

20days

22 $\frac { 1 } { 2 }$ days

25 days

30 days

Answer : Option B

Explanation :

Ratio of times taken by A and B = 1 : 3.

time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes .

If difference of time is 60 days, B takes[ $\frac { 3 } { 2 }*60]$ = 90 days.

So, A takes 30 days to do the work.

A's 1 day's work = $\frac { 1 } { 30 }$

B's 1 day's work = $\frac { 1 } { 90 }$

(A + B)'s 1 day's work =[ $\frac { 1 } { 30 }$ + $\frac { 1 } { 90 }$ ]= $\frac { 4 } { 90 }$ = $\frac { 2 } {45 }$

A and B together can do the work in $\frac { 45 } {2 }$ =22 $\frac { 1 } {2 }$ days.

Be The First To Comment

Comments

Name