Tarun is twice as good as Tripti in doing a work. Together, they can complete the work in 16 days. In how many days can Tripti alone complete the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 48.
Let's denote:
T as the time taken by Tripti to complete the work alone.
2T as the time taken by Tarun to complete the work alone (since he's twice as efficient).
In one day, Tripti does 1/T of the work, and Tarun does 1/2T of the work. Together, they do :
⇒ (1/T + 1/2T) of the work per day
We know they can finish the work together in 16 days, so:
⇒ 16 × (1/T + 1/2T) = 1 (complete work)
Simplifying:
⇒ 16 × (3/2T) = 1
Solving for T:
⇒ T = 48
Therefore, Tripti alone can complete the work in 48 days.