# Repairman

Repairman has vowed to do repair work at the plant for 25 days. However work had to be shortened, and therefore he took helper worker. Together they made all the corrections for the whole days. How long it would take work to helper worker?

Result

x =  100

#### Solution:

$t(\dfrac{1}{25} +\dfrac{1}{x}) = 1 \ \\ \dfrac{x+25}{25x} = \dfrac{1}{t} \ \\ t(x+25) = 25x \ \\ \ \\ x= 120 ; t=20.6896551724 \ \\ x= 119 ; t=20.6597222222 \ \\ x= 118 ; t=20.6293706294 \ \\ x= 117 ; t=20.5985915493 \ \\ x= 116 ; t=20.5673758865 \ \\ x= 115 ; t=20.5357142857 \ \\ x= 114 ; t=20.5035971223 \ \\ x= 113 ; t=20.4710144928 \ \\ x= 112 ; t=20.4379562044 \ \\ x= 111 ; t=20.4044117647 \ \\ x= 110 ; t=20.3703703704 \ \\ x= 109 ; t=20.3358208955 \ \\ x= 108 ; t=20.3007518797 \ \\ x= 107 ; t=20.2651515152 \ \\ x= 106 ; t=20.2290076336 \ \\ x= 105 ; t=20.1923076923 \ \\ x= 104 ; t=20.1550387597 \ \\ x= 103 ; t=20.1171875 \ \\ x= 102 ; t=20.0787401575 \ \\ x= 101 ; t=20.0396825397 \ \\ x= 100 ; t=20 \ \\ x= 100$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Work at plant
Handyman has vowed to do repair work at the plant for 25 days. However, work had to be shortened and therefore gained helper. Together they made all the corrections for 13 1/3 days. How long the work would take helper himself?
2. Repair pipe
20 workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last?
3. Repair company
The company repairs cars. The first day repair half of the contract second day, the half of the rest and third day 8 residue cars. How many total cars company repaired?
4. Hectoliters of water
The pool has a total of 126 hectoliters of water. The first pump draws 2.1 liters of water per second. A second pump pumps 3.5 liters of water per second. How long will it take both pumps to drain four-fifths of the water at the same time?
5. Invitations
For every 5 minutes writes Dana 10 invitations, while Anna 14 invitations. How long will write together 120 invitations?
6. Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour?
7. 40% volume
40% volume with 104 uph (units per labor hour) 8 people working. What is the volume?
8. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
9. Walnuts
x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
10. Mom and daughter
Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter?
11. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
12. Sequence
In the arithmetic sequence is a1=-1, d=4. Which member is equal to the number 203?
13. Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
14. Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
15. One percent
One percent of all the lights in the city are LED, the remaining 99% are conventional. Other types are not there. John counted them honestly but he had counted only conventional. After a good dinner he registered numbers and he have notice that from all
16. Pears
Andrew, Lenka and Rasto have together 232 pears. Lenka has 28 more than Rasto and Rasto pears have 96 more than Andrew. Determine how much each of them has pears.
17. Candies
If Alena give Lenka 3 candy will still have 1 more candy. If Lenka give Alena 1 candy Alena will hame twice more than Lenka. How many candies have each of them?