A dog is sleeping at 75 meters away from the car. As the car starts, thedog runs behind the car whose speed is 36 kmph and catches it after 10seconds. Find the speed (in kmph) of dog
Question
A dog is sleeping at 75 meters away from the car. As the car starts, thedog runs behind the car whose speed is 36 kmph and catches it after 10seconds. Find the speed (in kmph) of dog
Solution
To solve this problem, we first need to convert all the measurements to the same units. The speed of the car is given in kilometers per hour (kmph), but the distance is given in meters and the time in seconds.
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Convert the speed of the car from kmph to meters per second (mps) because the distance is given in meters and the time in seconds. We know that 1 km = 1000 meters and 1 hour = 3600 seconds. So, 36 kmph = 36 * 1000 / 3600 = 10 mps.
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The car and the dog start at the same time, but the dog has to cover an extra distance of 75 meters to reach the car. In 10 seconds, the car covers a distance of Speed * Time = 10 mps * 10 seconds = 100 meters.
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The dog covers this distance of 100 meters plus an extra 75 meters in the same time. So, the total distance covered by the dog in 10 seconds is 100 meters + 75 meters = 175 meters.
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Therefore, the speed of the dog is Distance / Time = 175 meters / 10 seconds = 17.5 mps.
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Finally, convert this speed back to kmph by multiplying by 3.6 (since 1 mps = 3.6 kmph). So, the speed of the dog is 17.5 mps * 3.6 = 63 kmph.
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