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Vivek travelled a distance of 50km in 7hrs. He travelled the distance partly on foot at 5kmph and partly on bicycle at 8kmph. What is the distance that he travelled on foot ?
  • a)
    12km
  • b)
    5km
  • c)
    10km
  • d)
    18km
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Vivek travelled a distance of 50km in 7hrs. He travelled the distance ...
x/5 + 50-x/8 =7
8x+250-5x = 7*40
3x+250 = 280
3x = 30
X = 30/3 = 10km
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Most Upvoted Answer
Vivek travelled a distance of 50km in 7hrs. He travelled the distance ...
Given information:
- Total distance travelled = 50 km
- Total time taken = 7 hours

Let's assume Vivek travelled a distance of x km on foot.

Distance travelled on foot = x km
Distance travelled on bicycle = (50 - x) km

Speed of Vivek on foot = 5 km/hr
Speed of Vivek on bicycle = 8 km/hr

Time taken on foot = Distance travelled on foot / Speed on foot = x / 5 hours
Time taken on bicycle = Distance travelled on bicycle / Speed on bicycle = (50 - x) / 8 hours

Total time taken = Time taken on foot + Time taken on bicycle

7 = x/5 + (50 - x)/8

To solve this equation, we can simplify it by multiplying through by 40 to get rid of the fractions:

7 * 40 = 8x + 5(50 - x)

280 = 8x + 250 - 5x

280 - 250 = 8x - 5x

30 = 3x

x = 10

Therefore, Vivek travelled a distance of 10 km on foot. So, the correct answer is option C) 10 km.
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Vivek travelled a distance of 50km in 7hrs. He travelled the distance partly on foot at 5kmph and partly on bicycle at 8kmph. What is the distance that he travelled on foot ?a)12kmb)5kmc)10kmd)18kme)None of theseCorrect answer is option 'C'. Can you explain this answer?
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