Elitmus Exam Numerical Ability Time and Work

one man,3 women and 4 boys can do a piece of work in 96hours.2 men and 8 boys can do it in 80 hrs,2 men and 3 women can do it in 120 hrs.5 men and 12 boys can do it in how many hours?

Read Solution (Total 2)

x+3y+4z=1/96
2x+8z=1/80
2x+3y=1/120
solving we get x=1/480,z=1/960
5x+12z can do it in 43.6 hr
7 years agoHelpfull: Yes(3) No(0)

(1m+3m+4b)*96=(2m+8b)*80 eq(1)
(2m+8b)*80=(2m+3w)*120 eq(2)
Solving we get
m/w=3/2 and w/b=4/3
m:w:b=6:4:3

(2m+8b)*80=(5m+12b)*x
(2*6+8*3)*80=(5*6+12*3)*x
After solving, we get
x=43.63
6 years agoHelpfull: Yes(0) No(1)

Elitmus Other Question

sunil completes a work in 4 days,whereas dinesh completes the work in 6 days.ramesh 3/2 times as fast as sunil.the three together can complete the work the work in how many days? a labourer was appointed bya contractor on the condition that he would be paid rs 75 for each day of his work but would be fined at the rate of rs15 per day for his absence,apart from losing his wages.after 20 days,the contractor paid the labourer rs1140.the no of days the labourer abstained from work was?