Question

If a man walks 1 km/h faster than his usual speed then he covers a distance of 3 km in 15 minutes less than time. Find his usual speed​

Answer 1

Answer:

Step-by-step explanation:

May it help u

Answer 2

His usual speed would be 3.6 km/hr.

Step-by-step explanation:

Since we have given that

Let his usual speed be 'x'.

Let his new speed = x+1

Time difference = 15 minutes less

Distance = 3 km

According to question, it becomes,

$\dfrac{3}{x}-\dfrac{3}{x+1}=\dfrac{15}{60}=\dfrac{1}{4}\\\\\dfrac{x+1-x}{x^2-1}=\dfrac{1}{12}\\\\\dfrac{1}{x^2-1}=\dfrac{1}{12}\\\\12=x^2-1\\\\x^2=12+1\\\\x^2=13\\\\x=3.6\ km/hr$

Hence, his usual speed would be 3.6 km/hr.

# learn more:

If a man walks 1 km/hour faster than his usual speed, then he covers a distance of 3 km in 15 minutes less time. Find his usual speed

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