From a corner of a jewellery shop, Priya moves 6 steps towards north and 8 steps
towards east and reaches diagonally from the corner of the shop. From the same point
Seema moves 8 steps towards east and 6 steps towards north and reaches the same point.
Taking east-west direction as x-axis, north-south direction as y-axis and starting point as
origin.
a) Write the coordinates of the point at which Priya and Seema meet together.
b) A third person Madhu moves straight towards the point where Priya and Seema meet
.Has Madhu travelled less distance?
c) Find the distance covered by Madhu.
Answers
Given : From a corner of a jewellery shop, Priya moves 6 steps towards north and 8 steps towards east and reaches diagonally from the corner of the shop. From the same point Seema moves 8 steps towards east and 6 steps towards north and reaches the same point.
A third person Madhu moves straight towards the point where Priya and Seema meet
To find : a) Write the coordinates of the point at which Priya and Seema meet together.
b) .Has Madhu travelled less distance?
c) Find the distance covered by Madhu.
Solution:
Priya
0, 6 E 8 , 6
N
0,0
Seema
8 , 6
N
0,0 E 8 , 0
Priya and seema meet together at (8 , 6)
Distance travelled by Priya & seema = 6 + 8 = 8 + 6 = 14 Steps
Distance travelled by Madhu = √6² + 8² = 10 Steps
Distance covered by Madhu = 10 steps
Yes , Madhu covered less distance than seema & priya
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