Hovkial wrote:
Two people of different heights are walking in two different circles of the same radii. When the taller person walks three steps, the shorter person walks five steps in the same time. The distance traveled by the taller person in five steps is equal to the distance traveled by the shorter person in four steps. The shorter person completed walking 100 rounds. How many rounds did the taller person walk?
(A) 30
(B) 48
(C) 75
(D) 100
(E) 120
Hovkial wrote:
The distance traveled by the taller person in five steps is equal to the distance traveled by the shorter person in four steps.
Let taller person be T and shorter person be S;
Now,
5 steps of T = 4 steps of S
1 step of T = \(\frac{4}{5}\) steps of S
Also,
Hovkial wrote:
When the taller person walks three steps, the shorter person walks five steps in the same time
As,
1 step of T = \(\frac{4}{5}\) steps of S
3 step of T = \(\frac{4*3}{5}\) steps of S --- (1)
AND we also know,3 step of T = 5 step of S
Now we know,
Hovkial wrote:
The shorter person completed walking 100 rounds
Hence, 5 step of S = 100
So, S = 20 --- (2)
Using (1) and (2)
\(\frac{4*3*20}{5}\)
=48Hence B _________________
Regards,
AD
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