Question

एक आदमी 40 किलोमीटर प्रति घंटे की गति से यात्रा करता है । यदि उतने गति में 16 किलोमीटर प्रति घंटे की वृद्वि की होती , तो वह उतने ही समय में 50 किलोमीटर अधिक तय कर सकता था । तय की गयी वास्तविक दूरी ज्ञात कीजिए​

Answer 1

Answer:

Step-by-step explanation:

Time = Dist./Sp.

50/16 = 25/8 Hrs.

Now, Time * Actual Speed = 25/8 * 40

= 125 kms.

Thus, actual distance travelled is 125 kms

Answer 2

The actual distance is 125 km.

Step-by-step explanation:

It is given that the speed of person is 40 km/h.

Let initial d is distance and t is time

Formula for speed is

$Speed=\dfrac{Distance}{Time}$

$40=\dfrac{d}{t}$

$40t=d$                   .... (1)

If he increase his speed 16 km/h, then he can cover 50 km extra in same time.

$40+16=\dfrac{d+50}{t}$

$56t=d+50$

$56t-50=d$               .... (2)

From (1) and (2) we get

$56t-50=40t$

$56t-40t=50$

$16t=50$

$Time=\frac{50}{16}=3.125$

It means the time is 3.125.

Speed of person is 40 km/h and time is 3.125. SO, distance is

$Distance=40( 3.125)=125$

Therefore, the actual distance is 125 km.

#Learn more

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