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.