Question

Два трактора вспахали поле за 6 часов. Работая по отдельности , первый трактор вспахал бы это полезай 15 ч . За сколько времени вспахал бы это поле второй трактор?

Answer 1

15 часов-1/156 часов-1/61/6-1/15=3/301:3/30=1/10

Answer 2

15 часов-1/156 часов-1/61/6-1/15=3/301:3/30=1/10

Answer 3

Calculation of Time Taken by the Second Tractor

To determine the time taken by the second tractor to plow the field, we can use the concept of work done.

Let's assume that the first tractor's plowing rate is represented by x (in terms of the fraction of the field plowed per hour). Therefore, the first tractor would plow the entire field in 15/x hours.

Given that both tractors together plowed the field in 6 hours, we can set up the following equation:

1/x + 1/y = 1/6

Where y represents the plowing rate of the second tractor.

To find the time taken by the second tractor, we need to solve this equation for y.

Solving the Equation

To solve the equation, we can rearrange it as follows:

1/y = 1/6 - 1/x

Combining the fractions on the right side:

1/y = (x - 6)/(6x)

Taking the reciprocal of both sides:

y = (6x)/(x - 6)

Now we can substitute the value of x (15) into the equation to find the time taken by the second tractor:

y = (6 * 15)/(15 - 6)

Simplifying the equation:

y = 90/9 = 10

Therefore, the second tractor would plow the field in 10 hours if it worked alone.

Conclusion

The second tractor would take 10 hours to plow the field if it worked separately, while the first tractor would take 15 hours.