Question

3. A train travels at an average speed of x km per hour.it is going from Lucknow to Patna, after
travelling for 5 hours, Lucknow is still 30 km away. Express the distance from Lucknow to Patna in
terms of x.​

Answer 1

Answer:

Therefore, T1 = D/30 and T2 = D/50

Now, T1 + T2 = T which is D/30 + D/50 = 80D/1500

Therefore, Avg. Speed = Total distance covered/total time taken

Which is, = (D + D)/(80D/1500)

And there’s the answer.

Hope it helped :)

Answer 2

Given :- A bus travels at x km/hr. It is going from Lucknow to Patna. After the bus has travelled for 5 hours, Gorakhpur is still 20 km away. What is the distance from Lucknow to Patna ? Express it using x.

Solution :-

→ Speed of bus = v km/h

so,

→ In 5 hours bus travelled distance = speed * time = v * 5 = 5v km.

now, given that, after travelling for 5 hours , Patna is still 30 km away .

therefore,

→ The distance from Lucknow to Patna = Distance covered + Distance left .

→ The distance from Lucknow to Patna = 5v + 30 = 5(v + 6) km (Ans.)

Hence, the distance from Lucknow to Gorakhpur is 5(v + 6) km .

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