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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 ?
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- 30 days
- 32 days
- 24 days
- 25 days
Correct Option: C
A does | 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 = | + | 40 | 60 |
= | ||
120 |
(A + B)’s 1 day’s work = | = | 120 | 24 |
∴ 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 = | days | |
x + y |
Total time taken = | ||
40 + 60 |
Total time taken = | = 24 days | |
100 |