# Harmonic mean + inverse relationship - practice problems

#### Number of problems found: 20

- 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? - 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. - Insert 7

Insert five harmonic means between 3 and 18 - Insert 6

Insert four harmonic means between 3/7 and 3/19 - Insert 5

Insert five harmonic means between 1/2 and 1/26 - Harmonic 4

The harmonic mean of -6 and 5. - Harmonic mean

Harmonic means of 6 and 12 - HP - harmonic progression

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

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

Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked alone? - Sequence 11

What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5? - Cleaners

Milan would clean up the room for 2.5 hours, Eric would take 10 hours. How long they swept the room together? - Forth and back

Car drive from point A to point B at speed 78 km/h and back at 82 km/h. If went there and back at speed 81 km/h journey would take five minutes less. What is the distance between points A and B? - Painter Pavel

Painter Pavel painted the fence for 16 hours and painter Petr the same fence painted for 13 h. How long should take painted the fence together? - Three workers

Three workers A, B, C have to work on a specific task. Workers A and B completed whole task in 14 days, B together with C for 23 days, A together with C for 13 days. How long it would take to complete the task every one of them alone? How long it would ta - Workers

Two workers A and B, will be done work together for 15 days. They worked together for 13.5 days. Then A worker became ill, and worker B finish the job alone for 7.5 days. If every worker was working alone, how many days took whole work for worker A and B? - Car

The car goes from point A to point B at speed 86 km/h and back 53 km/h. If it goes there and back at speed 67 km/h trip would take 10 minutes shorter. What is the distance between points A and B? - Pool

If water flows into the pool by two inlets, fill the whole for 19 hours. The first inlet filled pool 5 hour longer than the second. How long pool take to fill with two inlets separately? - Cyclist

The cyclist goes uphill 10 km for 50 minutes and downhill minutes for 29 minutes, both applied to the pedals the same force. How long he pass 10 km by plane? - Tractors

Fields go plow two tractors with various performances. The first tractor plows the whole field in 11 hours, the second tractor plows the whole field 19 hours longer. How long take plow the whole field with two tractors?

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