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If a person travels at a speed of 30 kmph, he will reach his destination on time. He covered half of the journey in 3/4 of time. At what speed should he travel to cover the remaining distance to reach the destination on time ?
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If a person travels at a speed of 30 kmph, he will reach his destinati...
Given Information:
A person travels at a speed of 30 kmph and covers half of the journey in 3/4 of the time.
Calculating Time and Distance:
Let's assume the total distance to be covered is D km.
Since the person covers half of the journey in 3/4 of the time, it means he covers the remaining half of the journey in the remaining 1/4 of the time.
So, the time taken to cover the first half of the journey is 3/4 * T, where T is the total time taken to reach the destination.
Similarly, the time taken to cover the remaining half of the journey is 1/4 * T.
Since Distance = Speed * Time, we can write the equation as follows:
First half of the journey: (30 kmph) * (3/4 * T) = (D/2) km
Second half of the journey: (30 kmph) * (1/4 * T) = (D/2) km
Simplifying the equations, we get:
(90/4) * T = (D/2)
(30/4) * T = (D/2)
Calculating Speed for the Remaining Distance:
To find the speed at which the person should travel to cover the remaining distance and reach the destination on time, we need to find the time taken to cover the remaining distance.
Let's assume the speed required to cover the remaining distance is S kmph.
Using the formula Distance = Speed * Time, we can write the equation as follows:
Remaining distance: S kmph * (1/4 * T) = (D/2) km
Simplifying the equation, we get:
S * (T/4) = D/2
S * T = (2D)/4
S * T = D/2
Therefore, the person should travel at a speed of S kmph to cover the remaining distance and reach the destination on time.
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If a person travels at a speed of 30 kmph, he will reach his destination on time. He covered half of the journey in 3/4 of time. At what speed should he travel to cover the remaining distance to reach the destination on time ?
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