Home » Aptitude » Time and Work » Question
  1. A can do
    1
    of a work in 10 days.
    4

    B can do
    1
    of the work in 20 days.
    3

    In how many days can both A and B together do the work ?
    1. 30 days
    2. 32 days
    3. 24 days
    4. 25 days
Correct Option: C

A does
1
work in 10 days
4

∴ A will do 1 work in 10 × 4 = 40 days
Similarly, B will do the same work in 20 × 3 = 60 days
∴ (A + B)’s 1 day’s work =
1
+
1
4060

=
3 + 2
120

(A + B)’s 1 day’s work =
5
=
1
12024

∴ Required time = 24 days
Second method to solve this question ,
Time taken by A to finish the work = 40 days
Time taken by B to finish the work = 60 days
Total time taken =
x × y
days
x + y

Total time taken =
40 × 60
40 + 60

Total time taken =
40 × 60
= 24 days
100



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