Three excavators were laying the irrigation canal. The first excavator completed 30% of the entire day’s work

Three excavators were laying the irrigation canal. The first excavator completed 30% of the entire day’s work, the second 3/7 of the remainder, and the third dug the remaining 360 m3 of soil. How many m3 of soil have all 3 excavators dug per shift?

In order to complete this task, you need to calculate the number by part. To find a number by its fractional part, you need to divide this number by a fraction. The first step is to translate the percentages into parts.

30% = 30/100 = 3/10.

Let’s calculate how much work remains to be done after the first escalator has completed its part.

1 – 3/10 = 7/10 part.

Let’s calculate what part the second escalator did. In order to find a part of a number, you need to multiply the number by a part.

7/10 * 3/7 = 3/10 part.

Let’s calculate what part of the work the third did.

1 – (3/10 + 3/10) = 1 – 6/10 = 4/10 = 2/5 part.

Knowing that 2/5 of the part is 360 cubic meters. soil, let’s calculate how much soil was dug by three escalators.

360: 2/5 = 360 * 5/2 = 1800/2 = 900 cubic meters.

Answer: 900 cubic meters.



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