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Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.?
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Mohana covers a distance of 150 m in a certain time if he increases hi...
Problem
Mohana covers a distance of 150 m in a certain time. If he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.
Solution
Let the original speed of Mohana be S and the time taken to cover the distance of 150 m be T.
Distance = Speed × Time
150 = S × T
Or, T = 150/S
When Mohana increases his speed to 4 times its original speed, his new speed becomes 4S.
His new time taken to cover the same distance of 150 m becomes (T - 30) seconds.
Distance = Speed × Time
150 = 4S × (T - 30)
Or, T - 30 = 150/4S
Or, T = 150/4S + 30
Substituting the value of T from the first equation, we get:
150/S = 150/4S + 30
Or, 1/S = 1/4S + 1/10
Or, 6/40S = 1/4S
Or, S = 40/6 = 20/3 m/s
Substituting the value of S in the first equation, we get:
T = 150/(20/3) = 22.5 seconds
Therefore, the original time taken by Mohana to cover the distance of 150 m is 22.5 seconds.
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Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.?
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Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.?.
Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohana covers a distance of 150 m in a certain time if he increases his speed to 4 times its original speed, the time taken reduces by 30 seconds. Find the original time taken.?.
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