points A and B are 16 km apart and bus starts from A and others bus starts from b at same time if they go in same Direction they meet in 6 hour and if they go in opposite direction they meet in 2 hours find their speeds
Answers
Answer:
Step-by-step explanation:
direction
Speed of car starting from A = x km/hr
Time taken = 15 hrs
Distance travelled by A = speed x time = 15x metres
Speed of car starting from B = y km/hr
Time taken = 15 hrs
Distance travelled by B = speed x time = 15y metres
If they travel in same direction and reach in same time , they reach at a point C
[ A picture is attached , refer to the pic 1 ]
We know that AB = 150 km
also ,
AC = 15x metres [ distance traveled by A ]
BC = 15y metres [ distance traveled by B]
AB = AC - BC
150 = 15x - 15y
15x - 15y = 150
x - y = 10 -----> (1)
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Case II : When they move in opposite directions :-
Speed of car A = x km/hr
Time taken = 1 hr
Distance = x metres
Speed of car B = y km/hr
Time taken = 1 hr
Distance = y metres
If they travel in opposite directions , they meet at a point C , between A and B [ refer to the pic 2 ]
x + y = 150 -----> (2)
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Solving equations 1 and 2 , we get
x - y = 10
x + y = 150
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2x = 160
x = 80
x - y = 10
y = 70
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Speed of car starting from A = 80 km/hr
Speed of car starting from B = 70 km/hr
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