There was water full in the tank.
I scheduled to drain away the water in the tank at the rate of 6m3 per minute.
After started draining, the volume of water in the tank became 3/4 of the full and it was rescheduled.
After the change, I drained at the ratio of 7m3 per minute until the volume of the water in the tank becomes half of the drainage started.
I stopped draining afterwards for seven minutes.
Next, I drained at the ratio of 14m3 per minute afterwards.
After rescheduled, the time of the tank emptied was earlier by two minutes than first plan.
Find the capacity of this tank.
I scheduled to drain away the water in the tank at the rate of 6m3 per minute.
After started draining, the volume of water in the tank became 3/4 of the full and it was rescheduled.
After the change, I drained at the ratio of 7m3 per minute until the volume of the water in the tank becomes half of the drainage started.
I stopped draining afterwards for seven minutes.
Next, I drained at the ratio of 14m3 per minute afterwards.
After rescheduled, the time of the tank emptied was earlier by two minutes than first plan.
Find the capacity of this tank.
Answer
Time planned for drainage is 1 / 6 = 1/6 minutes.
The time after rescheduled is (1/4) /6 + (1/4) /7 + 7 + (1/4) × 2 /14 = 1/24 + 1/28 +7 + 1/28.
Since this time was 2 minutes earlier than first schedule which was 1/6 minutes, 1/24 + 1/28 +7 + 1/28 + 2 = 1/6.
Calculating this formula, 9/168 = 9 minutes. 1 = 9 / (9/168) = 168.
Therefore capacity of the tank is 168 m3.
168 m3
Solution
Capacity of the tank is set to 1.
Time planned for drainage is 1 / 6 = 1/6 minutes.
The time after rescheduled is (1/4) /6 + (1/4) /7 + 7 + (1/4) × 2 /14 = 1/24 + 1/28 +7 + 1/28.
Since this time was 2 minutes earlier than first schedule which was 1/6 minutes, 1/24 + 1/28 +7 + 1/28 + 2 = 1/6.
Calculating this formula, 9/168 = 9 minutes. 1 = 9 / (9/168) = 168.
Therefore capacity of the tank is 168 m3.
