A dog saw a cat at a distance of 280 m. The cat started running at the speed of 10 km/h and the dog also ran to catch it with the speed of 24 km/h. How much time will the dog take to catch the cat?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 2)

Answer 1

Given:

A dog saw a cat at a distance of 280 m.

The cat started running at the speed of 10 km/h and the dog also ran to catch it at the speed of 24 km/h.

Concept used:

1. Time taken to meet for two objects coming towards each other = Intermediary distance ÷ Relative speed

2. Relative speed is the difference between individual speeds while two objects run in the same direction.

3. Distance = Speed × Time

4. km/h = 5/18 m/s

Calculation:

10 km/h = 25/9 m/s

24 km/h = 20/3 m/s

Now, the time taken to catch the cat by the dog

⇒ 280 ÷ (20/3 - 25/9)

⇒ 72 seconds

⇒ 72/60 = 1.2 min

∴ The dog will take 1.2 min to catch the cat.

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