# Two diggers

Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers.

## Correct answer:

Tips for related online calculators

Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

Check out our ratio calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Do you want to convert time units like minutes to seconds?

Check out our ratio calculator.

Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

Do you want to convert time units like minutes to seconds?

### You need to know the following knowledge to solve this word math problem:

**algebra**- equation
- system of equations
- expression of a variable from the formula
**basic functions**- ratio
- inverse proportion
**numbers**- fractions

### Units of physical quantities:

#### Themes, topics:

### Grade of the word problem:

## Related math problems and questions:

- Together 82965

An older digger would dig a ditch by himself in 6 hours. A younger digger can handle the same trench in 3 hours. How long would it take them to dig if they worked together? - Two diggers

There are two diggers. One digger digs a pit 77 hours second, digging 1.2 times faster. a) how long took to dig a pit second digger b) how long took it to dig together - Painters

The first painter painted the fence himself for 4 hours, the second painter 1.2 hours sooner than the first, and the third painter slowest up to 16 hours. How long took them to paint the fence if they worked together? - Two masons

Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himself?

- Opposite 7634

The first worker digs a canal in 3 hours. The other will dig the trench in 4 hours. They will work 1 hour opposite each other and then together. How long will it take them? - Together 6519

One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours? - Digging

The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together?