Question

a) A cyclist rides 15 km towards North from a point P to the point Q. He then
rides 20 km towards South along the same path and reaches R.
(Given: Distance from P to Q is represented by a positive integer and distance
from P to R is represented by a negative integer)
By which number will you represent the cyclist's final position from P?
(-10)
11.(-5)
1. (-15)
iv. 25
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Answer 1

Answer:

From point P to point Q = 15 km north

From point Q to point R = 20km south

Final position = 15 - (20 )

Final position = (-5)

Answer 2

The number to represent the cyclist's final position from P is - 5 km.

Given: Distance from P to Q ( in positive direction ) = 15 km

Distance from Q to R ( in negative direction ) = 20 km

To Find: The number to represent the cyclist's final position from P.

Solution:

Distance traveled from P to Q ( in the vertical positive direction ) =15 km

Distance from Q to R ( in the vertical negative direction ) = 20 km

Hence, the final distance from P is = ( - 20 + 15 ) km

                                                            = - 5 km

Hence, the number to represent the cyclist's final position from P is - 5 km.

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