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Raja covers a certain distance in 14 hrs 40 min. He covers one half of the distance by the train at 60 km/hr and the rest half by road at 50 km/hr. The distance traveled by him is
  • a)
    960
  • b)
    720 km
  • c)
    1000 km
  • d)
    800 km
Correct answer is option 'D'. Can you explain this answer?
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Raja covers a certain distance in 14 hrs 40 min. He covers one half of...
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Raja covers a certain distance in 14 hrs 40 min. He covers one half of...
Let the total distance to be covered by Raja be x.
Then,according to question,
by train , he covers x/2 distance at speed 60 km/hr
60km = 1hr
x/2 km = (1/60)*x/2 hr. -(1)

also , by road he covers x/2 km at speed 50 km/hr
50 km = 1hr
x/2 km = (1/50)*x/2 hr. -(2)

Total time taken to cover x km = 14hrs 40min
=14hrs + 40/60hrs = 14+2/3 hrs = 44/3 hrs

x/120 + x/100 = 44/3 {~adding eqns (1) and (2)}
5x+6x = 44/3 * 600
11x = 44*200
x = 4*200
x = 800km
Thus , total distance covered by him = 800km
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Community Answer
Raja covers a certain distance in 14 hrs 40 min. He covers one half of...
Total distance - x
x/2×60 + x/2×50 = 14+ 40/60 hours
x/120+x/100 = 14 + 2/3
(5x+6x)/600 = 44/3
11x/600 = 44/3
x = 600×44/33
x = 800 Ans
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Raja covers a certain distance in 14 hrs 40 min. He covers one half of the distance by the train at 60 km/hr and the rest half by road at 50 km/hr. The distance traveled by him isa)960b)720 kmc)1000 kmd)800 kmCorrect answer is option 'D'. Can you explain this answer?
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Raja covers a certain distance in 14 hrs 40 min. He covers one half of the distance by the train at 60 km/hr and the rest half by road at 50 km/hr. The distance traveled by him isa)960b)720 kmc)1000 kmd)800 kmCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Raja covers a certain distance in 14 hrs 40 min. He covers one half of the distance by the train at 60 km/hr and the rest half by road at 50 km/hr. The distance traveled by him isa)960b)720 kmc)1000 kmd)800 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Raja covers a certain distance in 14 hrs 40 min. He covers one half of the distance by the train at 60 km/hr and the rest half by road at 50 km/hr. The distance traveled by him isa)960b)720 kmc)1000 kmd)800 kmCorrect answer is option 'D'. Can you explain this answer?.
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