Question

2. यदि एक व्यक्ति 30 कि.मी./घंटा की चाल से जाता है.
तो वह अपने गंतव्य स्थान पर 10 मिनट देरी से पहुँचता ।
है, जबकि 42 कि.मी./घंटा की चाल से चलने पर वह
अपने गंतव्य स्थान पर 10 मिनट पहले पहुँच जाता है।
तय की गई दरी है​

Answer 1

Given:

यदि एक व्यक्ति 30 कि.मी./घंटा की चाल से जाता है.

तो वह अपने गंतव्य स्थान पर 10 मिनट देरी से पहुँचता है,

जबकि 42 कि.मी./घंटा की चाल से चलने पर वह  अपने गंतव्य स्थान पर 10 मिनट पहले पहुँच जाता है।

To find:

तय की गई दरी है​|

Solution:

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 = $\frac{20}{60} \:hr$ = $\frac{1}{3} \: hr$

We know,

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

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

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

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

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

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

$\implies D = \frac{210}{6}$

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

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

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A man travelling at a speed of 20 km/ hr reaches his office 10 minutes late. next day he travelled at a speed of 30 km/ hr and he reached his office 10 minutes earlier. the distance between his office and home.

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Answer 2

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