Question

8. 76 persons can complete the job in 42 days. In how many days will 56 persons do the same job?

Answer 1

Answer:

57 days

Step-by-step explanation:

Let the number of day taken by 56 persons to finish the same job be x

Now, in tabular form we can see

No of Persons      76              56

No of days            42              x

Here number of people is decreased therefore time will be more, and we know that when one quantity increases and another quantity decreases, it is a case of Inverse Variation, according to which:

76 × 42 = 56 × x

x = (76 × 42) / 56

x = 57

∴ 56 persons will take 57 days to finish the same job.

Answer 2

understand the following concepts :-

more number of persons means work can be completed in less number of days.


in such case,use division

while,in case of less persons,use multiplication.

Let's illustrate :-

76 person can do the work in 42 days.

thus, 1 person in 42 × 76 days. { less no. of persons

thus, 56 person can do it in
$\frac{42 \times 76}{56}$
days.

= 57 days answer.


thanks

KSHITIJ