A man complete a journey in 10 hours. He travels first half of the jou...
Let time taken to travel the first half = x hr
Then time taken to travel the second half = (10 - x) hr
Distance covered in the the first half = 21x [because, distance = time*speed]
Distance covered in the the second half = 24(10 - x)
Distance covered in the the first half = Distance covered in the the second half
So,
21x = 24(10 - x)
=> 45x = 240
=> x = 16/3
Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]
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A man complete a journey in 10 hours. He travels first half of the jou...
By using formula of AVG speed 2*(X*y)/(x+y)Or (21*24*2)/21+24 is equal to AVG speed and multiply by 10 we get desired distance
A man complete a journey in 10 hours. He travels first half of the jou...
Given, a man completes a journey in 10 hours.
Let the total journey be 'd' km.
He travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr.
To find: The total journey in km.
Formula used: Time = Distance/Speed
Calculation:
Let the distance of the first half of the journey be 'x' km.
Distance of the second half of the journey = d - x km
Time taken to travel the first half of the journey = x/21 hours
Time taken to travel the second half of the journey = (d-x)/24 hours
Total time taken = x/21 + (d-x)/24 = 10 hours (given)
On solving the above equation, we get
d = 224 km
Therefore, the total journey is 224 km. Hence, option C is the correct answer.