Question:-
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
( Class 10th chapter [Pair of linear equations in two variables] )
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Answer the question
Step-by-step explanation:
let the speed of the car starting from A to ' x '
let the speed of car starting from B be ' y '
Distance = speed × time
distance covered by 1st car
x(5) = 5x
and,
distance covered by 2nd car
y(5) = 5y
Total distance = AC - BC = AB
5x- 5y = 100 -----(i)
Cars travelling in opposite direction
BD = y , AD = x
AD + BD = AB
x+y = 100
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