A cold water faucet can fill the bathtub in 12 minutes, and a hot water faucet can fill the bathtub in 18 minutes. The drain can empty the bathtub in 24 minutes. If both faucets are on and the drain is open, how long would it take to fill the bathtub?

Solution:

Given that,

A cold water faucet can fill the bathtub in 12 minutes

A hot water faucet can fill the bathtub in 18 minutes

The drain can empty the bathtub in 24 minutes

Let "t" be the time taken to fill the bath tub

Both faucets are on and the drain is open, therefore, in one minute, they can fill,

Here, negative sign means "drain can empty"

Thus, it takes 10.3 minutes to fill the bath tub

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

answer: no

step-by-step explanation: