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In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?
- a)8 kmph
- b)5 kmph
- c)4 kmph
- d)7 kmph
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In covering a distance of 30 km, Arun takes 2 hours more than Anil. If...
If Arun doubles his speed, he needs 3 hour less. Double speed means half time. Hence, half of the time required by Arun to cover 30 km = 3 hours
i.e., Time required by Arun to cover 30 km = 6 hours
Arun's speed = 30/6 = 5 km/h
Most Upvoted Answer
In covering a distance of 30 km, Arun takes 2 hours more than Anil. If...
Given:
Distance = 30 km
Let Anil's speed be x kmph
Let Arun's speed be y kmph
According to the question,
Time taken by Arun - Time taken by Anil = 2 hours
=> 30/y - 30/x = 2
=> 15(y-x) = xy --- (1)
If Arun doubles his speed, then he would take 1 hour less than Anil.
=> 30/2y - 30/x = -1
=> 15/x - 15/y = 1
=> y - x = 15 --- (2)
Solving equation (1) and (2), we get:
y = 10 kmph (Arun's speed)
x = 5 kmph (Anil's speed)
Therefore, the answer is option (B) 5 kmph.
Distance = 30 km
Let Anil's speed be x kmph
Let Arun's speed be y kmph
According to the question,
Time taken by Arun - Time taken by Anil = 2 hours
=> 30/y - 30/x = 2
=> 15(y-x) = xy --- (1)
If Arun doubles his speed, then he would take 1 hour less than Anil.
=> 30/2y - 30/x = -1
=> 15/x - 15/y = 1
=> y - x = 15 --- (2)
Solving equation (1) and (2), we get:
y = 10 kmph (Arun's speed)
x = 5 kmph (Anil's speed)
Therefore, the answer is option (B) 5 kmph.
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In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun's speed?a)8 kmph b) 5 kmph c)4 kmphd)7 kmphCorrect answer is option 'B'. Can you explain this answer?
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