Q: A person arrives at his destination on time if he travels at 40 kmph. He ran two-thirds of the overall distance in one-third of the time. What pace should he maintain for the remaining distance in order to arrive on time?
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A
30 kmph
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B
20 kmph
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C
25 kmph
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D
15 kmph
B
Answer:
B
Explanation:
The time taken to reach the destination is given as 3x hours.
The distance to the destination is given as 40 * 3x = 120x km.
The person has traveled a distance of 2/3 * 120x = 80x km in 1/3 * 3x = x hours.
Therefore, to reach the destination, the person must travel the remaining distance of 40x km in 2x hours.
To find the required speed, we can use the formula speed = distance / time.
Plugging in the values given in the problem, we get speed = 40x km / 2x hours = 20 km/hr.
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