Question

Twenty caravans are travelling through the desert one day apart. The first caravan reached an oasis and the camels drank half of the water in the pool. On the second day, second caravan reached the oasis and the camels drank one third of the water left . on the third day the third caravan reached the oasis and the camels drank one quarter of the water left in the pool. On the first day the pool contained 1050 cubic litres of water. How much water was left after the 20th caravan passed through.​

Answer 1

Step-by-step explanation:

The first caravan left half of the water. The second caravan left

\begin{gathered} \frac{2}{3} \times \frac{1}{2} = \frac{1}{3} \\ \frac{3}{4} \times \frac{1}{3} = \frac{1}{4} \end{gathered}

3

2

×

2

1

=

3

1

4

3

×

3

1

=

4

1

of the water. Continuing the pattern, the 20th caravan leaves

\frac{1}{21}

21

1

or 50 m3 of water.