Wine is made by crushing grapes with the feet. Two grape crushers take 4 days to crush a certain amount of grapes. If one of them crushed half the grapes and the other crushed the other half, then they complete the job in 9 days. How many days will it take for the slower crusher to do the job alone?
Wine is made by crushing grapes with the feet. Two grape crushers take 4 days to crush a certain amount of grapes. If one of them crushed half the grapes and the other crushed the other half, then they complete the job in 9 days. How many days will it take for the slower crusher to do the job alone?
The correct option is E none of these
Answer = option(e)
Option a and b can be eliminated directly as the number of days have to be > 9 days.
Answer is either c, d or e.
Check for answer c.
If slower one takes 16 days, then faster takes 14−116=316⇒163 days
Slower takes 162=8 days and faster takes (162)3=83 days. Totally they will not take 9 days
Reverse Gear
Check for answer d
If the slower crusher takes 15 days, then the faster one takes 14−115=1160⇒6011 days.
Slower does his half work in 152=7.5 days and the faster does his work in 6022. together it does not add up to 9 days. Hence, answer is option (e)
Answer = option(e)
Option a and b can be eliminated directly as the number of days have to be > 9 days.
Answer is either c, d or e.
Check for answer c.
If slower one takes 16 days, then faster takes 14−116=316⇒163 days
Slower takes 162=8 days and faster takes (162)3=83 days. Totally they will not take 9 days
Reverse Gear
Check for answer d
If the slower crusher takes 15 days, then the faster one takes 14−115=1160⇒6011 days.
Slower does his half work in 152=7.5 days and the faster does his work in 6022. together it does not add up to 9 days. Hence, answer is option (e)
