Question

Help!! A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hours will it take for the water level in the tank to be 3 1/2 ft deep? Enter your answer as a mixed number

Answer 1

Rate : 1 1/4 ft per hour = 5/4 ft per hour
Depth : 3 1/2 = 7/2 ft
7/2 : 5/4 = 7/2 * 4/5 = 28/10 = 14/5 = 2 4/5
Answer:
2 4/5 hours.

Answer 2

Depth: 7/2 feet
Rate: 5/4 feet per hour

Time = depth / rate of filling
Time = 7/2 / 5/4
Time = 14/5
Time = 2 4/5 hours