Question

the coordinates of houses of mona and nidhi are (7,3)and (4,-3) and the coordinate of school is (2,2)who walk fast if both reach at same time

Answer 1

Given,

The coordinates of houses of mona and nidhi are (7,3)and (4,-3).

And,the coordinate of school is (2,2).

The travelling time is same for both.

To find,

To check that who walks faster.

Solution,

First of all, we need to calculate the distances between Mona's house and school, Nidhi's house and school.

Distance between Mona's house and school

= ✓(2-7)²+(2-3)² = ✓(-5)² + (-1)² = ✓25+1 = ✓26 units

Distance between Nidhi's house and school

= ✓(2-4)²+(2+3)² = ✓(-2)²+(5)² = ✓4+25 = ✓29 units

Now, it is clear that the distance between Nidhi's house and school is greater than the distance between Mona's house and school.

But, their travelling time is same.

So,Nidhi travels greater distance than Mona in certain amount of time.

Hence, Nidhi walks faster.