Question

Tinku pours ${10}^5$ granules of sand per second in a bottle and it takes him 320 seconds to fill it. How much time will he take to fill that bottle if he pours 106 granules per second ?

Answer 1

Let time taken to fill the bottle by pouring ${10}^6$ per second granules $=x$ sec
Thus, total number of granules required $=x\times {10}^6$
Total number of granules required to fill the bottle in 320 sec $={10}^5\times 320=32\times {10}^6$
Now, $x\times {10}^6=32\times {10}^6$
$=>x=\frac{32}{{10}^6}\times {10}^6$
$=>x=32$ sec
Thus, time taken by tinku to fill the bottle by pouring 10^6 per second granules $=32$ se