if 8 men can reap 80 hectares in 24 days, how many hectares can 36 men reap in 30 days. please explain step by step

Question

if 8 men can reap 80 hectares in 24 days, how many hectares can 36 men reap in 30 days. please explain step  by  step

anonymous · Answer

@satellite73 , @Hero

whpalmer4 · Answer

You want to find the amount that 1 man does in 1 day.

8 men do 80 hectares in 24 days, so 1 man does 1/8 th of that = 10 hectares in 24 days = 10/24 hectare/day.  Now multiply that rate by 36 men and 30 days.

anonymous · Answer

find the unit rate

anonymous · Answer

unit rate ??

whpalmer4 · Answer

Alternatively, just multiply all the ratios:  You know what 8 men do in 24 days, and you have 36/8 men and 30/24 days.  Same idea.

whpalmer4 · Answer

Unit rate: amount 1 worker does each day.

shubhamsrg · Answer

No of men increase from 8 to 36, hence manpower increases by 36/8
No of days from 24 to 30, so now the time taken would be 30/24

Hence no. of hectares will be increased by (36/8)(30/24) or 

=> 80 *(36/8) *(30/24) 

just simplify

anonymous · Answer

no off hectors given in the answer is 450

whpalmer4 · Answer

80 * 36 / 8 * 30 / 24 = 10 * 36 * 30 / 24 = 300 * 3 / 2 = 450

whpalmer4 · Answer

Of if you found the unit rate of 10/24 hectares/day, 36 * 30 * 10 / 24 = 450.

shubhamsrg · Answer

Or,
alternative way of looking can be
8 men take 24 days for 80 hectares
so 1 man takes 24 days for 10 hecatres
so 1 man takes 1 day for 10/24 hecatres
so 36 men take 1 day for (10/24)*36 hectares
so 36 men take 30 days for (10/24)*36*30 hectares

And hence is the ans.

anonymous · Answer

basically i have test for job and i dont know this type mathematics too much. so can you me the easiest way to solve this type of problem @shubhamsrg

anonymous · Answer

@whpalmer4

shubhamsrg · Answer

Just as every one else said here, try to convert into single units,you should always make out if we reduce no. of men or days, will workload inc, dec, likewise

whpalmer4 · Answer

Yeah, when in doubt, find out how much work 1 unit can do (whether that be workers, machines, or whatever), then you can find the answer to how long it will take if you have more time and more workers.  The approach we showed with proportions is a bit faster, but probably isn't as safe if you don't really understand what it represents.