Mathematics, 16.11.2020 18:50 carvarceuanmoss

If 200 men can make an embankment 3km long in 25 days, how much overtime per day must 60 men work to complete an embankment 2km long in 32 days, 12 hours being a day's work?

Answers: 1

Show answers

Answers

Answer from: keshjdjsjs

Each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.

Step-by-step explanation:

If 200 men can make a 3 km long embankment in 25 days, their work day being 12 hours, to determine the amount of work that each one does, the following calculation must be made, taking into account that 3 km is the same at 3,000 meters:

3000/25 = 120 meters per day

120/200 = 0.6 meters per day per man

0.6 / 12 = 0.05 meters per hour worked per man

Therefore, to determine the extra work time that 60 men should carry out, if they wanted to complete a 2 km long embankment in 32 days, the following calculation should be performed:

2000/32 = 62.5 meters per day

62.5 / 60 = 1.04 meters per day per man

1.04 / 12 = 0.08 meters per hour worked per man

Therefore, that difference of 0.03 meters must be taken into account to determine the extra time of work that these men must carry out, carrying out the following cross multiplication:

0.05 = 12

0.08 = X

((0.08 x 12) / 0.05) = X

(0.96 / 0.05) = X

19.2 = X

Therefore, each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

alaska, florida, nevada, south dakota, texas, washington and wyoming, tenessee and new hampshire.

step-by-step explanation:

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Simplify -4z+2y-y+-18z a.-22z+y b.-14z+2 c.3y+22z d.y +14z

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Aaron invested a total of $4,100, some in an account earning 8% simple interest, and the rest in an account earning 5% simple interest. how much did he invest in each account if after one year he earned $211 in interest? select one: a. $200 at 8%, $3,900 at 5% b. $3,200 at 8%, $900 at 5% c. $900 at 8%, $3,200 at 5% d. $3,900 at 8%, $200 at 5%

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Acentral angle measuring 160 degrees intercepts an arc in a circle whose radius is 4. what is the length of the arc the circle formed by this central angle? round the length of the arc to the nearest hundredth of a unit. a) 4.19 units b) 6.28 units c) 12.57 units d) 12.57 square units

Answers: 3

Answer

You know the right answer?

If 200 men can make an embankment 3km long in 25 days, how much overtime per day must 60 men work to...

Questions