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Satpal walks 23km from a place P, towards the east and then from there 157 km towards west. Where will he be now from P? -

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Question

Satpal walks `2/3 "km from a place P, towards the east and then from there"  1 5/7` km towards west. Where will he be now from P?

Sum

Solution

Let us denote the distance travelled towards the east by positive sign. So, the distances towards the west would be denoted by a negative sign.

Thus, distance of Satpal from the point P would be

`2/3 + (- 1 5/7)`

`=  2/3 + (-12)/7`

`= (2 xx 7)/(3 xx 7) + ((- 12) xx 3)/(7 xx 3)`

`= (14 - 36)/21`

`= (-22)/21`

`= - 1 1/21`

Since it is negative Satpal is at a distance `1 1/21` km towards west of P.

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