A lion takes 25 steps for every 24 steps of a tiger, and 55 steps of tiger are equal to 44 steps of lion. What is the ratio of speed of tiger to that of lion?

A lion takes 25 steps for every 24 steps of a tiger, and 55 steps of tiger are equal to 44 steps of lion. What is the ratio of speed of tiger to that of lion? Correct Answer None of these

Length of 55 steps of tiger = distance covered in 44 steps by lion

Ratio of length covered by tiger to lion in one step = 4 ∶ 5

Frequency of taking steps:

When tiger takes steps 24 times, lion takes 25 steps.

∴ Ratio of frequency of taking steps of tiger to lion = 24 ∶ 25

Now,

Ratio of speed of tiger to that of lion = combined ratio = (24 × 4) ∶ (25 × 5) = 96 ∶ 125

Related Questions