Question

Example 19:
Eight men can dig a field in 14 days, working 6 hours a day. In how many days can
7 men dig the same field, working 8 hours a day?​

Answer 1

Here is your answer:

Answer 2

Answer:

7 men working for 8 hours each would take 12 days to finish the same job

Step-by-step explanation:

given, 8 men working 6 hours a day can dig the field in 14 days

to find: number of days required to dig the same field by 7 men working 8 hours a day

let x be the number of days required by 7 men, working 8 hours a day, to dig the field

number of men                      8          7

number of working hours      6         8

number of days required      14        x

then, a1×b1×c1 = a2×b2×c2

⇒ 8 × 6 × 14 = 7 × 8 × (x)

⇒ 672 = 56x

⇒ x =$\frac{672}{56}$ = 12

thus, 7 men working for 8 hours each would take 12 days to complete the same job