Points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their speeds.
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Answer:
Car 1 = 40 km/hr, Car 2 = 30 km/hr
Step-by-step explanation:
Point A to point B = 90 Km
IF they go in same direction they meet in = 9 hours
Means they come closer in every hour = 90/9 = 10km per hour
Speed difference = 10km/hour
Let speed of car 1 = x
then Speed of car 2 = (x -10)
Now, use second equation
If they go in opposite direction they meet in = 9/7 hours
Means they jointly travel 90 km in 9/7 hours
Joint speed = 90/ (9/7) = 70 km
x + (x-10) = 70
2x = 80
x = 40 km per hour
Speed of car 1 = 40
Speed of car 2 = 30
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