Question

Q.35 II P travelled the first half of a journey at 40 km/hr and the remaining distance at 50 km hr, what is the
average speed of his travel?
A. 44.44 km/hr
B. 53.33 km/hr
C. 45 km hr
D. 60 km hr
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Answer 1

$\huge\bold\green{Answer:}$

Given:

• We have been given that P travelled the first half of a journey at 40 km/hr and the remaining distance at 50 km/hr.

To Find:

• We need to find the average speed of his travel.

Solution:

Let the total distance be x km.

Now, for the first half, the distance would be x/2 km.

=> 40 = x/2t1

=> t1 = x/80_______(1)

Here, t1 is the time for the first half.

For the second half, the distance is x/2.

So, 50 = x/2t^2

=> t2 = x/100

Here, t2 stands for the time i second half.

Therefore, the average speed of p can be given by:

v = total distance/total time

=> v = [x/{(x/80) + (x/100)}]

=> v = [1/{(1/80) + (1/100)}]

=> v = 1/{(100 + 80)/8000}

=> v = 1/(180/8000)

=> v = 8000/180

=> v = 44.44444...

Therefore the average speed of P is 44.44km/hr.

Hence, option A is correct.