a person covers 108kms in 3 hours. what is the speed in meter per hour?
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Answered by
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Answer:
ANSWER
Let the man travels with speed x km/hr
So time taken to cover the distance of 108 km=
x
108
If speed increases by 2 km/hr
Now, speed =x+2
Then time requires to cover 108 km=
x+2
108
these two time has difference of 4
2
1
=
2
9
hour
Therefore ,
x
108
−
x+2
108
=
2
9
x(x+2)
[108(x+2)−108x]
=
2
9
x
2
+2x
108x+216−108x
=
2
9
x
2
+2x
216
=
2
9
9(x
2
+2x)=216×2
9x
2
+18x=432
9x
2
+18x−432=0
x
2
+2x−48=0
x
2
+8x−6x−48=0
x(x+8)−6(x+8)=0
(x+8)(x−6)=0
(x+8)=0or(x−6)=0
x=−8 or x=6
Since, speed can not be negative
therefore x=−8 (not possible)
so , x=6 km/hr
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