Latest self Aptitude Question SOLUTION: Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul's dog runs at a speed of 60 metre/minute an

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(#M40009556) SELF question How much distance dog covered Keep an EYE

Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul's dog runs at a speed of 60 metre/minute and start along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?

shilpi gupta (12 years ago)

Solved Vignesh Read Solution (3)

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Mihir  (12 years ago)

1200 mtrs

Distance covered by Aryan in 5 mins = 40*5=200m
Relative velocity of Rahul w.r.t Aryan = 10 mtr/min

Time taken by Rahul to meet Aryan = 200/10 = 20 min

Distance travelled by dog in 20 mins = 20* 60 = 1200 mtrs

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Vignesh  (12 years ago)

1200meters = Total distance covered by the dog.

Let X = Minutes
And Y = Aryan runs speed = 40 meter per X
And Z = Rahul runs speed = 50 meter per X (i.e., 200 + 50x)
And D = Total distance covered by the dog = X* 60meters

Y = Z
40x = 200 + 50x
200 = 10x
x = 200/10
x = 20

So, by 20minutes, both Aryan and Rahul meets.(Rahul reaches Aryan.)

So, dog covered distance, D = X * 60 meters = 20*60 = 1200 meters.

Is this solution Helpfull? Yes (2) | No (1)  

Vignesh  (12 years ago)

1200meters = Total distance covered by the dog.

Let X = Minutes
And Y = Aryan runs speed = 40 meter per X
And Z = Rahul runs speed = 50 meter per X
And D =Total distance covered by the dog = X* 60meters

Note: Rahul starts in the interval of 5minutes from Aryan. On that time Aryan reach 5*40 = 200meters. So, Rahul starts = 200+50x

40x = 200 + 50x
200 = 10x
x = 200/10
x = 20

So, by 20minutes, both Aryan and Rahul meets.(Rahul reaches Aryan.)

So, dog covered distance, D = X * 60 meters = 20*60 = 1200 meters.

Is this solution Helpfull? Yes (1) | No (1)  

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