Question

4 people dig a trench in 3 hours hiw long will it take 9 people

Answer 1

Answer:

80 minutes

Step-by-step explanation:

4 people can dig the trench in 3 hours i.e. 180 minutes .

Let 9 people dig the trench in x minutes.

A/q, we have

______________________

| Number of people | 4 | 9 |

-------------------------------------------

| Time ( in minutes ) | 180 | x |

______________________

Clearly, more people will take less minutes to dig the trench.

So, it is a case of inverse variation.

•°• 4 × 180 = 9 × x

=> 4 × 180 = 9x

=> x = 4 × 180 / 9

=> x = 80

Hence, the required time is 80 minutes.