# Harmonic mean - math word problems

#### Number of problems found: 104

- Harmonic mean

If x, y, z form a harmonic progression, then y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Harmonic 4

Harmonic mean of -6 and 5. - Harmonic mean

Harmonic means of 6 and 12 - Harmonic HM example

Harmonic means of 4 and 8. - Harmonic series

Insert four members between 5/3 and 5/11 to form harmonic series (means). - HP - harmonic progression

Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression 2

Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively. - Harmonic and arithmetic means

The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calculate: a - Insert 5

Insert five harmonic means between 1/2 and 1/26 - Insert 6

Insert four harmonic means between 3/7 and 3/19 - Insert 7

Insert five harmonic means between 3 and 18 - HP - harmonic progression

Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Harmonic oscillator

Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places. - Average speed

The truck drove 1/2 of the way on the highway at 80km/h. The other half of the way 20km/h. Calculate the average speed - See harmonics

It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases. - Weighted harmonic average

Ten workers will do some work in 2 minutes, five workers in 10 minutes and three workers in 6 minutes. How many minutes per average worker per worker? - Annual income

The annual incomes (in thousands of $) of fifteen families is: 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200 Calculate harmonic and geometric mean. - Reciprocal

What is the reciprocal of the sum of the reciprocals of 4 and 9? - Working together

One worker performs work in 3 days, the second in 5 days. How much do they work together? - Flowerbed

Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together?

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