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There was a leakage in the storage container of corona vaccine. If 22 kl of vaccine leaked out per day then it would have lasted for 100 days, if the leakage was 30 kl per day, then it would have lasted for only 90 days. For how many days would the vaccine have lasted, if there was not any leakage.

There was a leakage in the storage container of corona vaccine. If 22 kl of vaccine leaked out per day then it would have lasted for 100 days, if the leakage was 30 kl per day, then it would have lasted for only 90 days. For how many days would the vaccine have lasted, if there was not any leakage. Correct Answer 144 days

Given:

Time till vaccine would have lasted, if leakage is 22 kl/day = 100 days

Time till vaccine would have lasted, if leakage is 30 kl/day = 90 days

Concept used:

Compare the total quantity of vaccine.

Calculations:

Let the per day consumption of vaccine and number of days vaccine would have lasted without any leakage be 'x kl' and 'd days' respectively.

According to question,

⇒ Total quantity of vaccine = (22 × 100) + (x × 100)      ----(1)

Similarly,

⇒ Total quantity of vaccine = (30 × 90) + (x × 90)      ----(2)

⇒ Total quantity of vaccine = x × d      ----(3)

On comparing (1) and (2), we get

⇒ x = 50 kl/day

On comparing (1) and (3), we get

⇒ d = 144 days

∴ The number of days vaccine would have lasted, if there was not any leakage is 144 days.

 

 

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