if 20 men can do a piece of work in 8 days how many men will finish it in a 10 days
Answers
Answer:
does that make sense? 20 people working at the individual rate of 1/160 of the job in 1 day and taking 8 days would complete 1/160 * 20 * 8 = 1/160 * 160 = 160/160 of the job which is equal to 1 job.
Explanation:
when y = 8 days, x = 20 men.
use the formula to compute k.
you will get 8 = k/20
solve for k to get:
k = 20*8 = 160
k remains constant.
when x = 10 men, the formula becomes:
when x = 10 men, the formula becomes:
y = 160 / 10 which becomes:
y = 16 days.
this stands to reason.
half the men should take twice as long and they do.
now solve using the rate per person * number of people * time = quantity formula.
that formula is abbreviated as r * p * t = q
20 men can finish the job in 10 days.
rate per person is to be calculated using 20 people and 8 days and a quantity of 1 job.
the formula becomes r * 20 * 8 = 1
solve for r to get 4 = 1/(20*8) = 1/160
each person can complete 1/160 of the job in 1 day.
does that make sense?
20 people working at the individual rate of 1/160 of the job in 1 day and taking 8 days would complete 1/160 * 20 * 8 = 1/160 * 160 = 160/160 of the job which is equal to 1 job.
so we have r = 1/160 of the job in one day per person.
use that formula to figure out the time required to do one job if only 10 people were working.
you get r*p*t = q becomes:
1/160 * 10 * t = 1
solve for t to get:
t = 1 / (1/160 * 10) which becomes:
t = 1 / (1/16) which becomes:
t = 1 * (16/1) which becomes:
t = 16