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Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking a 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 'E'. 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) × 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, let's assume that Ram drives for x hours at 20 kmph.

- Ram covers a part of the journey at 20 kmph and the balance at 70 kmph, taking a total of 8 hours to cover the distance of 400 km.

So, the time taken to cover the distance at 20 kmph is x hours and the time taken to cover the remaining distance at 70 kmph is (8-x) hours.

- Distance covered at 20 kmph = 20x
- Distance covered at 70 kmph = 70(8-x)

Since the total distance covered is 400 km, we can write the equation:

20x + 70(8-x) = 400

Simplifying the equation:

20x + 560 - 70x = 400
-50x = -160
x = 3.2

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

Hence, option (d) 3 hours 12 minutes is the correct answer.
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Community Answer
Ram covers a part of the journey at 20 kmph and the balance at 70 kmp...
E
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Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking a 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 'E'. Can you explain this answer?
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