Question Na 151
12 women can complete a project in 36 days and 15 men complete the same project in 27 days. 16 women start working and
after 6 days they were replaced by X men. If X men complete the remaining work in 5 days, what is the value of 'X?
Answers
Answer:
63
Step-by-step explanation:
12 women can complete a project in 36 days and 15 men can complete the same project in 27 days.
CONCEPT:
Time and work (Efficiency concept)
FORMULA USED:
Work = Time × Efficiency
CALCULATION:
Suppose the efficiencies of a woman and a man are ‘w’ and ‘m’ respectively.
Total work = 12w × 36 = 15m × 27
⇒ 16w = 15m ---(i)
16 women start working and after 6 days, they were replaced by 'X' men and 'X' men complete the remaining work in 5 days.
⇒ 16w × 6 + X × m × 5 = 15m × 27 (Total work)
From equation (i):
⇒ 15m × 6 + X × m × 5 = 15m × 27
⇒ 90 + 5X = 405
⇒ 5X = 315
⇒ X = 63
Step-by-step explanation:
GIVEN:
12 women can complete a project in 36 days and 15 men can complete the same project in 27 days.
CONCEPT:
Time and work (Efficiency concept)
FORMULA USED:
Work = Time × Efficiency
CALCULATION:
Suppose the efficiencies of a woman and a man are ‘w’ and ‘m’ respectively.
Total work = 12w × 36 = 15m × 27
⇒ 16w = 15m ---(i)
16 women start working and after 6 days, they were replaced by 'X' men and 'X' men complete the remaining work in 5 days.
⇒ 16w × 6 + X × m × 5 = 15m × 27 (Total work)
From equation (i):
⇒ 15m × 6 + X × m × 5 = 15m × 27
⇒ 90 + 5X = 405
⇒ 5X = 315
⇒ X = 63