Water in a canal , 6m wide and 1.5m deep , flowing with a speed of 10km/h . How much area will it irrigate in 30 minutes , if 8 cm of standing water is needed.

The area covered by the canal in 30 mins is 562500 sq m

Step-by-step explanation:

Step 1 :

Given,

The canal's width = 6 meter

The canal's Depth is given as 1.5 meter

Speed of the water flowing = 10 kilometer per hour  

We need to determine the area which will be irrigated in 30 mins

Step 2 :

In one hour the canal flows 10 kilometer , therefore in 30 minutes it covers 5 kilometer = 5 × meter

Hence the volume of the water irrigated per 30 minutes = 6 × 1.5 × 5 ×

= 45 ×   cubic meter

The standing water is 8 centimeter = 8 ×  meter

Hence the area covered in 30 min = Volume ÷ the height of the standing water

= (45 × )  ÷ 8 ×   meter

= 562500 square meter

Step 3 :

The area covered by the canal in 30 mins is 562500 square meter

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours