Akhil covered a distance of 15 km in 60 minutes. He covered the first part of the journey by walking at 4.5 km per hour and the rest of journey by a car at 30 km per hour. Find the distance covered by the car.
Answers
》Akhil covered the distance by walking
= (1-x) hour
accourding to question:-
Distance = time×speed
》30x+ 4.5(1-x) = 15
》30x + 4.5 - 4.5x = 15
》25.5x = 15 - 4.5
》x = 10.5/22.5
Akhil covered the distance by car = 30x
》= 30× 11.5/22.5 =( 12.5 km) ans
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Answer:
Akhil covered 12.6 km by car.
Step-by-step explanation:
It was given that Akhil covered a total distance of 15 km in 1 hour. He traveled by walk at speed of 4.5 km/hr and then he travelled by car at speed of 30 km/hr.
Let the time taken by Akhil to cover distance by car be x hours.
The time taken for covering by walk is (1-x) hours, as total time is 1 hour. so time for walking is total time - time travelled by car.
As Distance = Time × speed
Here distance is 15 km,
Time taken is x and (1-x)
speed is 30 km/hr and 4.5 km/hr.
Let us find the time taken for distance covered by car,x
15= 30x + 4.5(1-x)
15= 30x + 4.5 - 4.5x
15= 30x - 4.5x + 4.5
15= 25.5x + 4.5
15-4.5= 25.5x
x = 10.5/25.5
Therefore x= 0.42
Distance covered by Akhil by car is 30x.
= 30× 0.42.
= 12.6km .
Therefore the distance covered by Akhil by car is 12.6km.