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Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has he been driving at 20 kmph?
  • a)
    2 hours
  • b)
    3 hours 20 minutes
  • c)
    4 hours 40 minutes
  • d)
    3 hours 12 minutes
  • e)
    None of the Above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Ram covers a part of the journey at 20 kmph and the balance at 70 kmp...
Let x be the number of hours he travels at 20 kmph.
Distance covered in this x hours = 20x km
He would have therefore, travelled the balance (8 - x) hours at 70 kmph.
Distance covered in this 8 - x hours = (8−x) X 70=(560 - 70x) km
The total distance travelled = 20x+560 - 70x = 400
⇒160 = 50x
x = 3.2 hours
= 3 hours and 12 minutes
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Most Upvoted Answer
Ram covers a part of the journey at 20 kmph and the balance at 70 kmp...
To solve this problem, we can use the concept of average speed.
Let's assume that Ram drives at 20 kmph for x hours and at 70 kmph for (8 - x) hours.
According to the given conditions, the total distance covered by Ram is 400 km.
We can use the formula:
Average Speed = Total Distance / Total Time

Let's calculate the time taken at each speed:

Time taken at 20 kmph = Distance / Speed = x hours
Time taken at 70 kmph = Distance / Speed = (8 - x) hours

Now, let's calculate the average speed:

Average Speed = Total Distance / Total Time
= 400 / 8
= 50 kmph

Since we know that average speed is the total distance divided by the total time taken, we can write the equation as:
Average Speed = (Distance covered at 20 kmph + Distance covered at 70 kmph) / Total Time

Let's substitute the values in the equation:

50 = (20 * x + 70 * (8 - x)) / 8
Multiply both sides of the equation by 8 to get rid of the denominator:

400 = 20x + 560 - 70x
Combine like terms:

50x = 160
x = 160 / 50
x = 3.2

Therefore, Ram has been driving at 20 kmph for 3.2 hours or 3 hours and 12 minutes.

Hence, the correct answer is option D) 3 hours 12 minutes.
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Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has he been driving at 20 kmph?a)2 hoursb)3 hours 20 minutesc)4 hours 40 minutesd)3 hours 12 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
Question Description
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