10. A car takes 10 hours to cover a certain distance at a uniform speed. If the speed has
been 18km more per hour, it would have taken 7 hours to cover the same distance in
kilometres. Find the distance.
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GIVEN :-
Given speed = 18km/hr
Initial time taken = 10 hours
final time taken = 7 hours
TO FIND :-
Final distance= ?
SOLUTION :-
Let the initial speed of the car be x km/hr.
distance = time × speed
distance = 10x
Therefore,
(x+18) × 7 = 10x
7x + 126 = 10x
10x - 7x = 126
3x = 126
Therefore,
x = 126÷3
x = 42 ( speed)
hence,
distance = 10x
distance = 10 × 42
distance = 420km
FINAL ANSWER
The distance is 420km.
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