A machine stacks boxes. In the first minute, it stacks 15 boxes, but in the next minute, 5 boxes fall down. If the machine stacks in alternate minutes, how many minutes will it take to stack a total of 95 boxes?
A machine stacks boxes. In the first minute, it stacks 15 boxes, but in the next minute, 5 boxes fall down. If the machine stacks in alternate minutes, how many minutes will it take to stack a total of 95 boxes?
एक मशीन बकसों को एक के ऊपर एक रखती हैं। पहले मिनट में यह 15 बक्सों को एक के ऊपर एक रखती है, लेकिन अगले मिनट में, 5 बक्से नीचे गिर जाते हैं। यदि मशीन वैकल्पिक मिनटों में एक के ऊपर एक रखती है, तो कुल 95 बक्सों को एक के ऊपर एक रखने में कितने मिनट लगेंगे?
Detailed Solution & Logic
19 minutes / मिनट
In 2 minutes, the machine stacks:
$15 - 5 = 10$ boxes (net)
Net boxes in 18 minutes (9 cycles):
$9 \times 10 = 90$ boxes
At the start of the 19th minute, the machine stacks:
$90 + 15 = 105$ boxes
It reaches $95$ boxes within this 19th minute before any boxes fall (falling happens in the next minute).
So, required time $= 19$ minutes.
Answer: $19$ minutes
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