2. Rice is stored enough for 120 people to consume in 20 days. In fact, there are 150 people...

The storage of rice is enough for 120 * 20 = 2400 person-days. With 150 people consuming rice, they will consume 150 * x = 2400 units of rice in d days. Hence, 150x * d = 2400. As a result, d = 2400 / 150x. Since each person consumes the same amount of rice, d = 2400 / (150 * x) = 10 days.

Assume each person consumes x units of rice per day. In 20 days, 120 people consume 120x units of rice. Thus, 120x = 2400. With 150 people consuming rice, the total amount of rice consumed per day is 150x. Therefore, it will take 2400/(150x) = 16/150 = 10 days for 150 people to use up the storage of rice.

Since the storage of rice lasts for 120 people for 20 days, it means the total amount of rice is 120 * 20 = 2400 units. With 150 people consuming rice, each person consumes 2400/150 = 16 units per day. Therefore, it will take 2400/(150 * 16) = 10 days for 150 people to use up the storage of rice.

Let r be the amount of rice consumed by each person per day. In 20 days, 120 people consume 2400 units of rice. Therefore, 2400 = 120 * 20 * r. So, r = 1 unit of rice per person per day. Since there are 150 people consuming rice, it will take 2400/(150 * 1) = 16 days for 150 people to use up the storage of rice.

The total amount of rice stored is equal to 120 x 20 = 2400. Since there are 150 people consuming rice, each person consumes 2400/150 = 16 units of rice per day. Therefore, it will take 2400/(150*16) = 10 days for 150 people to use up the storage of rice.