Question

three people driving a car with a speed of 40 45 55 km respectively what is the maximum distance each should travel so that all can cover the same distance in completed speed​

Answer 1

Answer:

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Answer 2

Given:

Speed attained by first person = 40km/hr

Speed attained by second person = 45km/hr

Speed attained by third person = 55km/hr

To find:

The maximum distance that each person should travel to cover the same distance.

Solution:

Each person travels at different speeds. To find the maximum distance that each person should travel, we have to determine the HCF of 40,45,55.

Prime factors of $40=2*2*2*5$

Prime factors of $45=3*3*5$

Prime factors of $55=5*11$

The prime factor that is common among all three numbers are $5$. Hence, $5$ is the HCF of 40,45,55. Thus, each person should travel a maximum distance of 5km so that all can cover the same distance at the completed speed.

Each person should travel a maximum distance of 5km so that all can cover the same distance at the completed speed.