Mr. Jerry travelled some distance with a speed of 50 kmph. With what speed should he return so that the average speed of the total journey is 60 kmph?
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Mr. Jerry travelled some distance with a speed of 50 kmph. With what speed should he return so that the average speed of the total journey is 60 kmph?
65 kmph
70 kmph
75 kmph
78 kmph
80 kmph
Average speed = (2 * v1 * v2) / (v1 + v2). 60 = (2 * 50 * v2) / (50 + v2). 60 * (50 + v2) = 100 * v2. 3000 + 60 * v2 = 100 * v2. 3000 = 40 * v2. v2 = 75 kmph.
Since the distances in both directions are the same, apply the average speed formula for equal distances, which is two times the product of the two speeds divided by their sum. Substituting the known values gives 60 equals two times 50 multiplied by the return speed, all divided by 50 plus the return speed. Solving this linear equation, 60 multiplied by 50 plus the return speed equals 100 multiplied by the return speed, which simplifies to 3000 equals 40 multiplied by the return speed. Therefore, the return speed is 3000 divided by 40, resulting in 75 kmph.