Question

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 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 cars.

Answer 1

Please see the attachment

Answer 2

Hey mate ^_^

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Answer:
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Let the speed of car A be 'x' and speed of car B be 'y'.

Let us assume that,

Speed of car A is greater than speed of car B. [A>B]

Now,

While moving in opposite direction their combined relative speed would be (x+y).

1 hr 20 min = 4/3 hrs to meet.

So,

80 / x + y = 4 / 3

x + y = 60 -------- (1)

Now,

While moving in same direction their combined relative speed would be (x-y).

They take 8 hrs to meet.

So,

80 / x - y = 10

x - t = 10 -------- (2)

Adding (1) and (2) we get:

2x = 70

x = 35

And,

x - y = 10

35 - y = 10

y = 25

So,

Speed of car A is 35 km/hr and speed of car B is 25 km/hr.

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