places a and b are 80 km apart from each other on a highway a car starts from a and another from b at the same time if they move in the same direction they meet in 8 hours and if they move towards each other they meet in 1 hour 20 minutes find the speed of car
Answers
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Answer:
Step-by-step explanation:
Let the speed of the first car be x.
And the speed of the second car be y.
If they move towards each other
Their distances from each other = 80km/hrs
[Distance = speed × time]
Distance travelled by 1st car - distance travelled by 2nd car= 80
8x - 8y = 80
8 (x-y) = 80
x-y = 10 -eq(1)
If they move in opposite direction
Time = 1hr 20min
= 1 + 20/60
= 1 + 1/3
= 4/3 hrs
= 4/3x + 4/3xy = 80
= 4/3 (x+y) = 80
= x+y = 80×3/4
= x+y = 240/4
=x+y = 60 -eq(2)
Adding eq (1) and (2)
(x-y) + (x+y) = 60 + 10
2x = 70
x = 35
Putting the value of x in equal (1)
x - y = 10
35 - y = 10
-y = 10 - 35
-y = -25
y = 25
Hence, the speed of 1st car is 35km/hr and the speed of the 2nd car is 25km/hr.