4. Ashish goes to his friends house which is 12 km away from his house. He covers half of the distance at a speed of x km per hour and the remaining at (x + 2) km per hour. If he take 2 hrs 30 min. to cover the whole distance, find the value of x.
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1
Answer:
x=4km/hr.
Step-by-step explanation:
Total time taken =2hrs 30min
t
1
=
s
d
=
nkm/hr
6km
=
x
6
hr
t
2
=
(x+2)km/hr
6km
=
x+2
6
hr
t
1
+t
2
=2.5hr =
x
6
+
x+2
6
x
6
+
x+2
6
=
2
5
x
2
+2x
6(2x+2)
=
2
5
24x+24=5x
2
+10x
5x
2
−14x−24=0
(5x+6)(x−4)=0
x=4km/hr.
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