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HIRA LAL MAHTO

· started a discussion

· 1 Months ago

Any other solution. Can explain more effectively?

Knowledge Expert

· commented

· 1 Months ago

Dear Student, its because Speed is inversely proprtional to Time Keep Learning with Us Best Wishes Team Toprankers
amit vasishth

· started a discussion

· 1 Months ago

solution is not understandable please provide appropraite solution for this question.

Question:
The speed of a car during the second hour of its journey is thrice that in the first hour. Also its third hours speed is the average speed of the first two hours. Had the car travelled at the second hour’s speed during all the first three hours, then it would have travelled 150 km more. Find the percentage reduction in time if the original distance covered by second hour’s speed:
Options:
A) \(33\frac{1}{3}\%\)
B) 40%
C) 25%
D) 50%
Solution:

Ans: (a)               

                       First               Second       Third      Total

                       hour                 hour         hour

Initial speed       x                     3x          2x             6x

New speed         3x                   3x          3x             9x

∴ Percentage increase in speed = \(\cfrac{3x}{6x}\) × 100 = 50%

Since speed is increased by (50%)  \(\cfrac{1}{2}\)

Therefore, time will reduce by (33.33%) \(\cfrac{1}{3}\)

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