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A jeep travels a distance of 100 km at a uniform speed. If the speed of the jeep is 5 kmph more, then it takes 1 hour less to cover the same distance. The original speed of the jeep is:
- a)20 kmph
- b)25 kmph
- c)30 kmph
- d)50 kmph
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A jeep travels a distance of 100 km at a uniform speed. If the speed o...
Let the original speed of the jeep be x kmph.
⇒100/x−100/(x+5)=1
Solving this, we get x = 20 kmph.
Most Upvoted Answer
A jeep travels a distance of 100 km at a uniform speed. If the speed o...
Problem Statement:
A jeep travels a distance of 100 km at a uniform speed. If the speed of the jeep is 5 kmph more, then it takes 1 hour less to cover the same distance. The original speed of the jeep is:
a) 20 kmph
b) 25 kmph
c) 30 kmph
d) 50 kmph
Solution:
Let the original speed of the jeep be x kmph.
Time taken to cover the distance of 100 km at the original speed = 100/x hours
New speed of the jeep = (x + 5) kmph
Time taken to cover the distance of 100 km at the new speed = 100/(x+5) hours
According to the problem statement, the new speed takes 1 hour less to cover the same distance. Hence,
100/x - 100/(x+5) = 1
Simplifying the above equation, we get:
x(x+5) = 500
x^2 + 5x - 500 = 0
Solving the above quadratic equation, we get:
x = 20 or x = -25 (negative value is not possible)
Therefore, the original speed of the jeep is 20 kmph.
Answer: a) 20 kmph
A jeep travels a distance of 100 km at a uniform speed. If the speed of the jeep is 5 kmph more, then it takes 1 hour less to cover the same distance. The original speed of the jeep is:
a) 20 kmph
b) 25 kmph
c) 30 kmph
d) 50 kmph
Solution:
Let the original speed of the jeep be x kmph.
Time taken to cover the distance of 100 km at the original speed = 100/x hours
New speed of the jeep = (x + 5) kmph
Time taken to cover the distance of 100 km at the new speed = 100/(x+5) hours
According to the problem statement, the new speed takes 1 hour less to cover the same distance. Hence,
100/x - 100/(x+5) = 1
Simplifying the above equation, we get:
x(x+5) = 500
x^2 + 5x - 500 = 0
Solving the above quadratic equation, we get:
x = 20 or x = -25 (negative value is not possible)
Therefore, the original speed of the jeep is 20 kmph.
Answer: a) 20 kmph
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A jeep travels a distance of 100 km at a uniform speed. If the speed of the jeep is 5 kmph more, then it takes 1 hour less to cover the same distance. The original speed of the jeep is:a)20 kmphb)25 kmphc)30 kmphd)50 kmphCorrect answer is option 'A'. Can you explain this answer?
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