Two places A and B are 120 km apart from each other on a highway. A car starts from A B and another from B at the same time. If they move in the same direction, they meet in 6 hours and if they move in opposite directions, they meet in 1 hour and 12 minutes. Find the speeds of the cars.
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Let the speed of first car be x km/hr and the speed of the second car be y km/hr.
Distance travelled by the first car in 6 hrs = 6x km
Distance travelled by the second car in 6 hrs = 6y km
Distance between the first and second car = 120 km
Therefore, 6x - 6y = 120
Or, x - y = 20 ...........( 1 )
Distance travelled by the first car in 1 hr 12 min = 6x/5
Distance travelled by second car in 1 hr 12 min = 6y/5
Therefore, (6x + 6y)/5 = 120
Or, x + y = 100
By solving these two equations, we obtain x = 60, y = 40
Therefore, speed of first car = 60 km/hr
And, speed of second car = 40 km/hr
Distance travelled by the first car in 6 hrs = 6x km
Distance travelled by the second car in 6 hrs = 6y km
Distance between the first and second car = 120 km
Therefore, 6x - 6y = 120
Or, x - y = 20 ...........( 1 )
Distance travelled by the first car in 1 hr 12 min = 6x/5
Distance travelled by second car in 1 hr 12 min = 6y/5
Therefore, (6x + 6y)/5 = 120
Or, x + y = 100
By solving these two equations, we obtain x = 60, y = 40
Therefore, speed of first car = 60 km/hr
And, speed of second car = 40 km/hr
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Step-by-step explanation:
answer is 60km/hr and 40 km/hr
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