Aparna walks 35km partly at the rate of 4km/hr and partly at 5km/hr. If she had walked at 5km/hr when she walked at 4km/hr and vice-versa. She would have covered 2km more in the same time. Find the time she was walking ?

Question

anonymous · Answer

interesting question......

anonymous · Answer

I am trying to solve it from last night.

anonymous · Answer

4x + 5 y = 35
4y + 5 x = 37
x= 5 and y = 3
total = 8

anonymous · Answer

that means, she walked 8 hours

anonymous · Answer

Correct answer, but can you explain a bit.

anonymous · Answer

4 km  per hour x time she walked at this rate + 5 km per hour x time she walked at this rate = total distance she walked! i.e 4x + 5y= 35

anonymous · Answer

similarly, second condition in which rates are changed.......and distance covered is two km more!

anonymous · Answer

and solving both equations we get answers

anonymous · Answer

but what partly means ?

anonymous · Answer

partly means some part of 35 kms in above situation

anonymous · Answer

nice solution saruz, I never thought of taking it as two variables.