Two cars A and B (starting at the same time, from the same point )are moving with average speed of 40 km/h ,respectively, in the same direction. find how far will car B be from car A after 3 hours.
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Answer:
Let two cars are A and B.
V
A
=50km/hr
V
B
=40km/hr
V
C
=xkm/hr
After t hours, car C catches second car B. So distance travelled by car C in t second is xt and this distance will be equal to distance travelled by car B in t+
2
1
hr.
So, xt=40x×(t+
2
1
)
⟹xt−40t=20
⟹t=
x−40
20
Car C will cover distance in (t+1.5hr)=x(t+
2
3
)= distance covered by car A in (t+2hr).
x(t+
2
3
)=50x(t+2)
xt+1.5x=50t+100
t(x−50)=100−1.52
20×(x−50)=100−1.5x
x−40
On solving, we get x=60km/hr.
Explanation:
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