Question

Meera and Sameera start moving from the same point. Meera goes 4 kms west followed by 3 kms north. Sammera goes 4 kms east and then a right turn and keeps going for 3 kms. What is the shortest distance between the two of them?

• A. 10 kms
• B. 12 kms
• C. 8 kms
• D. 14 kms

Answer 1

The Correct Option is A

Let's determine the shortest distance between Meera and Sameera by analyzing their respective routes. Meera travels as follows:

• 4 km west
• 3 km north

Sameera travels as follows:

• 4 km east
• Turns right and travels 3 km (southward, since turning right from east implies a southward direction)

Now, let's plot their positions:

• Meera's final position: 4 km west, 3 km north
• Sameera's final position: 4 km east, 3 km south

To find the shortest distance between them, use the distance formula between two points (x₁, y₁) and (x₂, y₂):

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the respective coordinates:

d = √[(4 - (-4))² + (-3 - 3)²]

d = √[(8)² + (-6)²]

d = √[64 + 36]

d = √100

The shortest distance is 10 km.

Thus, the correct answer is 10 kms.