SOLUTION: The time required for an elevator to lift a weight varies jointly as the weight as the weight and distance through which it is to be lifted and inversely as the power of the motor.

Question 1175569: The time required for an elevator to lift a weight varies jointly as the weight as the weight and distance through which it is to be lifted and inversely as the power of the motor. It takes 30 seconds for a 10 horsepower motor to lift 100 pounds through 50 ft. What size of the motor is required to lift 800 pounds in 40 seconds through 40 feet?
1. What type variation is involved in this problem?
2. What previously learned concepts are needed in solving the problem?
3. What is the mathematical equation of the given problem?
4. What is the unknown in the problem?
5.How will you solve the given problem involving combined variation?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
t=k*w*d/p
30=k*100*50/10
k=0.06
use that in next step
40=0.06*800*40/p
40p=1920
p=48 hp

RELATED QUESTIONS
the time required for an elevator to lift a weight varies directly with the weight and... (answered by Cromlix)

Solve the given problem. The time required for an elevator to lift a weight varies... (answered by Theo)

Using k as the constant of variation, write the equation of variation for each following. (answered by mananth)

The weight of a cylindrical metal varies jointly as its legth and the square of the... (answered by Alan3354)

The weight of a rectangular block of metal varies jointly as its length, width and... (answered by mananth)

respected sir & madum, 1] In a weight ;ifting competition,the total weight of Joe's... (answered by Alan3354)

Hooke's Law. The distance d when a spring is stretched by a hanging object varies... (answered by josgarithmetic)

An elevator has a mass of 1500 kg and is carrying 10 passengers through a height of 15... (answered by math_tutor2020)

DEFINE A VARIBLE AND WRITE AN INEQUALITY TO MODEL THE SITUATION. THE MAXIMUM (answered by funmath)