Question

A dog takes 7 jumps for every 10 jumps of their lion and a fox takes 12 jumps for every 10 jumps of the lion. And the distance covered by dog in 5 jumps, distance covered by lion in 15 jumps and the distance covered by fox in 20 jumps is equal. Find the ratio of their speeds

Answer 1

Answer:

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Answer 2

• The ratio is 42 : 45 : 50 .
• A dog takes 7 jumps for every 10 jumps of their lion and a fox takes 12 jumps for every 10 jumps of the lion. And the distance covered by dog in 5 jumps, distance covered by lion in 15 jumps and the distance covered by fox in 20 jumps is equal.
• Let as assume a total distance d, which can be covered by all the animals. This means, d = 5 jumps of dog = 15 jumps of lion = 20 jumps of fox .

• Let the time taken by dog for 7 jumps be 't' , the time taken by the dog to cover 5 jumps = t * 5/7
• Similarly time taken by the fox to cover 20 jumps = t* 20/12 and time taken by lion to cover 15 jumps = t* 15/10
• Ratio of speed can be given by $s_{dog}$ : $s_{lion}$ : $s_{fox}$

• ⇒ $\frac{d*7}{t*5}$ :   $\frac{d*15}{t*10}$ : $\frac{d*20}{t*12}$ ⇒ 42 : 45 : 50 .