PPSC Excise and Taxation Inspector 2018 Question Paper

Answer: D - 15:16

Step by Step calculation:

Step 1 - Find leap lengths:

Given: 3 leaps of dog = 4 leaps of cat

So:

• 1 leap of dog = 4/3 units
• 1 leap of cat = 1 unit (taking cat's leap = 1 unit)

Step 2 - Find distance covered per leap:

• Cat's 1 leap = 1 unit
• Dog's 1 leap = 4/3 units

Step 3 - Find speeds using number of leaps taken:

Given: Cat takes 5 leaps for every 4 leaps of dog

• Speed of Cat = 5 leaps × 1 unit = 5 units
• Speed of Dog = 4 leaps × 4/3 units = 16/3 units

Step 4 - Find ratio:

Cat : Dog = 5 : 16/3

= 5 × 3 : 16

= 15 : 16

Verification logic:

The core concept:

Speed = Number of leaps × Length of each leap

Two separate pieces of information are given:

• Frequency of leaps (5 vs 4) - how many leaps per unit time
• Length of leaps (3 dog = 4 cat) - how far each leap covers

Both must be combined to get actual speed. Ignoring either one gives wrong answer.