Advertisements
Advertisements
Question
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.
Solution
Distance covered = 2592 km
Let the speed of the car be x km/h
According to the question, Time =
\[\frac{\text { speed }}{2} = \frac{x}{2}h\]
we know that \[\text { speed } = \frac{\text { distance} }{\text { time }}\]
\[x = \frac{2592}{x/2}\]
\[ x^2 = 5184\]
\[x = \sqrt{5184}\]
\[x = 72\]
\[\text { Speed of the car } = 72 \text { km/h }\]
\[\text { Time taken to cover the given distance = 36 h }\]
APPEARS IN
RELATED QUESTIONS
Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.
In a class test, the sum of Kamal’s marks in mathematics and English is 40. Had he got 3 marks more in mathematics and 4 marks less in English, the product of the marks would have been 360. Find his marks in two subjects separately.
A truck covers a distance of 150 km at a certain average speed and then covers another 200 km at an average speed which is 20 km per hour more than the first speed. If the truck covers the total distance in 5 hours, find the first speed of the truck.
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
A motor boat whose speed in still water is 178 km/hr, takes 1 hour more to go 24 km upstream than to return to the same spot. Find the speed of the stream
Two pipes running together can fill a cistern in `3 1/13`
minutes. If one pipe takes 3 minutes more than the other to fill it, find the time in which each pipe would fill the cistern.
The length of rectangle is twice its breadth and its areas is 288 cm `288cm^2` . Find the dimension of the rectangle
The length of a hall is 3 meter more than its breadth. If the area of the hall is 238 sq meters, calculate its length and breadth.
In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and time increased by 30 minutes. Find the original duration of the flight.
The speed of a motorboat is 20 km/hr. For covering the distance of 15 km the boat took 1 hour more upstream than downstream.
What is the relation between speed, distance and time?
