Question

Uchit, on his bike, completes a journey in 47 hours. if it is known that he travels at 25 kmph for half the distance and at 22 kmph for the other half, then find the distance traveled.

a. 1101 km

b. 1000 km

c. 1001 km

d. 1100 km

Answer 1

1101 is the answer for the given question

Answer 2

Let distance be " X "

Given :

Time required to cover X distance = 47 h

Let the time taken to travel first half of distance = t1

and next half = t2

then t1 + t2 = 47 h

we know that.

distance = speed * time 

For first half distance :-

distance = x/2 and speed = 25 km/h 

t1 = distance / speed 

t1 = ( x/2 ) / 25

t1 = x/50

For next half of distance :-

distance = x/2 and speed = 22 km/h 

t2 = distance / speed 

t2 = (x/2 ) / 22 

t2 = x / 44

Substitute value of t1 and t2 in above equation.

(X/50) + (X/44) = 47

By equating the value of X = 1100

So the distance covered = 1100 km