Question

याद एक व्यक्ति 30 किमी प्रति घंटे की चाल से जाता है तो वह अपने गणव्य स्थान पर 10 मिनट की डेरी से पहंता है जबकी 42 किमी प्रति घंटे की चाल से चलने पर वह अपने गण्व्य स्थान पर 10 मिनट पहले जाता है कि है की

Answer 1

Answer:

Let's assume "D" represents the distance covered.

Since with the speed of 30 km/hr the person reaches 10 min late and with the speed of 42 km/hr he reaches 10 minutes early

∴ The difference in time = (10 + 10) min = 20 min = \frac{20}{60} \:hr

60

20

hr = \frac{1}{3} \: hr

3

1

hr

We know,

\boxed{\bold{Time = \frac{Distance }{Speed} }}

Time=

Speed

Distance

Now, according to the question, we can form the following equation as:

\frac{D}{30} - \frac{D}{42} = \frac{1}{3}

30

D

−

42

D

=

3

1

taking L.C.M of the denominators in L.H.S.

\implies \frac{7D\:-\:5D}{210} = \frac{1}{3}⟹

210

7D−5D

=

3

1

\implies \frac{2D}{210} = \frac{1}{3}⟹

210

2D

=

3

1

\implies D = \frac{210}{6}⟹D=

6

210

\implies \bold{D = 35\:km/hr}⟹D=35km/hr

Thus, the distance covered by the person is → 35 km/hr