6 men or 2 women or 4 boys can finish a work in 77 days. How many days will 1 man, 1 woman and 1 boy together take to finish the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 84.
6 men or 2 women or 4 boys can finish the work in 77 days.
Total number of days × total number of workers = Total work done
ATQ -
The ratio of efficiency of men and women -
6m = 2w
m/w = 1/3
m : w = 1 : 3 .....(1
The ratio of efficiency of women and boys -
2w = 4b
w/b = 2/1
w : b = 2 : 1
Multiply the first ratio by 2 to make the ratio equal.
m : w = 2 : 6..... (3
Multiply the second ratio by 3 to make the ratio equal.
w : b = 6 : 3..... (4
By comparing eq (3 and (4 -
The ratio efficiency of m : w : b = 2 : 6 : 3
Total work done = 6(m) × 77 = 6 × (2) × 77 = 924
Total work is done by 1 man, 1 woman, 1 boy in = 924/( 2 + 6 + 3) = 84 days