A water tank is being drained so that each minute one-third of the water that was present at the start of that minute is removed (it keeps 2/3). The amounts each minute form a pattern starting at 81 litres. How many litres remain after 3 minutes?

Question

Accepted Answer

24 litres. Remaining after n minutes = 81 × (2/3 )^n. After 3 minutes = 81 × 8/27 = 24 litres.

A water tank is being drained so that each minute one-third of the water that was present at the start of that minute is removed (it keeps $\frac{2}{3}$ ).
The amounts each minute form a pattern starting at 81 litres.
How many litres remain after 3 minutes?

Step-by-Step Solution

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More Class 10 Geometric Patterns practice

A water tank is being drained so that each minute one-third of the water that was present at the start of that minute is removed (it keeps 32​).The amounts each minute form a pattern starting at 81 litres.How many litres remain after 3 minutes?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Geometric Patterns practice

A water tank is being drained so that each minute one-third of the water that was present at the start of that minute is removed (it keeps $\frac{2}{3}$ ).
The amounts each minute form a pattern starting at 81 litres.
How many litres remain after 3 minutes?