A car moves a distance of 2592 km with uniform speed. The number of hours taken for the journey is one-half the number representing the speed, in km/hour. Find the time taken to cover the distance.
Answers
SOLUTION :
Given : Distance covered by a car = 2592 km
Let the speed of a car = x km/h
Time taken= x/2
Speed = Distance/Time
x = 2592/(x/2)
x = 2592 × 2/ x
x × x = 5184
x² = 5184
x = √5184
x = 72
Speed of a car = 72 km/h
Time taken = x/2 = 72/2 = 36 hours
Hence, the time taken to cover the distance is 36 hours.
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Answer:
Step-by-step explanation:
Given :-
A car covers a distance of 2592 km with a uniform speed. The number of hours taken for journey is one half the number representing the speed in km/hour.
To Find :-
Time taken to ever the distances.
Solution :-
Let the speed of the car be x km/h.
Therefore, Time taken = x/2 hour
Since, Speed = Distance/Time
According to the Question,
⇒ x = 2592/x/2
⇒ x² = 2592 × 2
⇒ x² = 5184
⇒ x² = √5184
⇒ x = 72
Time taken = x/2 = 72/2 = 36 hours.
Hence, the time taken to cover the distance is 36 hours.