Question

Relation Between Efficiencies 6 boys and 8 girls finish a job in 6 days and 14 boys and 10 girls finish the same job in 4 days. In how many days working together 1 boy and 1 girl can finish the work?
A)

Answer 1

Step-by-step explanation:

Given :-

• Relation Between Efficiencies 6 boys and 8 girls finish a job in 6 days .

• 14 boys and 10 girls finish the same job in 4 days.

To Find :-

• how many days working together 1 boy and 1 girl can finish the work?

Solution :-

According to the question :-

G = Girl

B = Boy

• 6(6B+8G) = 4(14B+10G)
• 36B+48G= 56B+40G
• 20B= 8G
• G/B= 5/2

Total work = 6(6×2 + 8×5)

• = 6(12+40)
• = 6×52
• = 312 unit work

1B+1G work = 7 units

Number of days = 312/7= 44.57

Answer is 44.57 days.