Places A and B are 160 km apart from Highway one car starts from A and another from be at the same time if car travel in the same direction at different speed they meet in 8 hours but if the travel towards Each Other they meet in 2 hours what are the speed of the two cars?
Answers
let car A & B speed be x & y respectively
now from question
for opposite direction
2x+2y=160
or x+y=80
now for same direction
8x=8y+160
or x-y=20
solving both equation
we find
velocity of A=x=50km/h
velocity of B==y=30 km/h
Step-by-step explanation:
as we know, total distance= speed *time
Here, total distance is 160km
we take the speed of first car as x km/hr
and the speed of 2nd car be y km/hr
total speed in first case = (x+y) km/hr
total time = 8 hrs
d=st
160=(x+y)*8
which gives
x+y=20 _______(1)
2nd case
total speed = (x-y) km/hr
total time= 2hrs
160 = (x-y)*2
that gives
x-y=80________(2)
subtracting eq 1 from 2
x-y=80
x-y=20
- + -
-2y=-60
y =30km/hr
x-y=20
x=50km/hr
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