Question

Ravi runs at a speed of 45 m/min. After 6 minutes, Siva starts chasing Ravi at a speed of 60 m/min. A dog starts running along with Siva at a speed of 80 m/min. If the dog reaches Ravi and comes back to Siva, and goes back to Ravi, and so on and so forth, until Siva meets Ravi, then find the total distance covered by the dog in metres.

1040

1240

1440

1640​

Answer 1

Answer:

Given :- Ravi runs at a speed of 45 m/min. After 6 minutes, Siva starts chasing Ravi at a speed of 60 m/min. A dog starts running along with Siva at a speed of 80 m/min.

If the dog reaches Ravi and comes back to Siva, and goes back to Ravi, and so on and so forth, until Siva meets Ravi . Then find the total distance covered by the dog in metres.

Solution :-

given that,

→ speed of Ravi = 45m/min.

and,

→ time for which ravi runs alone = 6 minutes

So,

→ Distance cover by Ravi = Speed * Time = 45 * 6 = 270 m.

we can say that, now distance ravi and siva is 270 m .

Now,

→ Speed of siva = 60m/min.

→ speed of ravi = 45m/min.

So,

→ usual speed of both = 60 - 45 = 15 m/ min. (since in same direction.)

So,

→ Time taken by siva to chase ravi = (Distance b/w them) / (usual speed) = 270/15 = 18 min.

Therefore , we can conclude that, The dog spends the same amount of time from ravi to siva before siva chase ravi..

Given that, speed of dog is 80m/min.

So,

→ in the time siva take to chase ravi, total distance covered by dog = Speed * Time = 80 * 18 = 1440 m.

Hence, the total distance covered by the dog is 1440 m.                                                                

Hope it helped you!!!!