In the Gurudwara Bangla Saheeb, some people are employed to prepare food for Covid-19 patients. It is observed that 3 males and 2 females altogether can prepare food in 15 hours while 2 males and 3 females can prepare food in 10 hours for the same. In how many hours 2 males and 5 females can prepare food for same .
In the Gurudwara Bangla Saheeb, some people are employed to prepare food for Covid-19 patients. It is observed that 3 males and 2 females altogether can prepare food in 15 hours while 2 males and 3 females can prepare food in 10 hours for the same. In how many hours 2 males and 5 females can prepare food for same . Correct Answer 6
Given
3 males and 2 females can prepare food in 15 days
3M + 2F = 15 ......(1)
2 males and 3 females can prepare food in 10 days
2M + 3F = 10 ......(2)
Concept used
Work = time × efficiency
Calculation
From equation (1) and (2)
⇒ (3M + 2F) × 15 = (2M + 3F) × 10
On solving the equation we get M = 0
So, 2 males and 5 females will take time to prepare food for same no. of patients = y hours
⇒ (2M + 5F) × y = (3M + 2F) × 15
Put M = 0
⇒ (0 + 5F) × y = ( 0 + 2F) × 15
⇒ Y= 6
∴ 6 hours will be required by 2 males and 5 females to prepare food