Question

two places A And B are 120 km apart from each other a high way.a car starts from A and another starts from B at the same time if they move in same direction they meet in 6 hours and if they move in opposite direction they meet in 1 hour 12 minutes. find the speed of each car. ​

Answer 1

Answer:

HII MATE

HERE'S THE ANSWER

Step-by-step explanation:

Let,

speed of car at "a" be x kmph 

speed of car at "b" be y kmph

dis covered by car at "a" in 6 hours = 6x

dis covered by car at "b" in 6 hours = 6y

Since they are travelling in same direction, sign shouble be negative

6x - 6y = 120

x - y = 20 ------------ (1)

1hr 12 min = 1 12/60 = 72/60 = 6/5 hr

Since they are travelling in opposite directions, sign should be positive.

(6/5)x + (6/5)y = 120

6x + 6y = 120×5

6x + 6y = 20×5

x + y = 100 ------------ (2)

Adding (1) and (2)

we get 2x = 120 

x = 60

Putting x = 60 in (2) 

we get y = 40 

Therefore,speeds cars are 60 km/h & 40 km/h.

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