Question

By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?​

Answer 1

Answer:

Let the distance covered = x km

Time taken to cover the distance = x /40 hr.

Now, he has covered 2x/3 km (2/3 of the distance) in x/120 hr.(1/3 of the total time)

So, Balance distance to be covered = x/3 km.

Available time = x/60 hr.

So, required speed = ( x / 3) / ( x /60) = 20 kmph.

Ans. 20 kmph

Answer 2

The speed he should maintain for the remaining distance to reach his destination on time is 20Km/h.

Given:

By travelling at 40 kmph, a person reaches his destination on time. He covered two-third of the total distance in one-third of the total time.

To Find:

The speed he should maintain for the remaining distance to reach his destination on time.

Solution:

To find the speed he should maintain for the remaining distance to reach his destination on time is 60Km/h we will follow the following steps:

According to the question:

Let the total distance = x Km

The speed is given = 40Km/h

Now,

$Time = \frac{distance}{speed} = \frac{x}{40}$

He covered two-thirds of the total distance in one-third of the total time.

This means the remaining distance

$= x - \frac{2}{3} x = \frac{1}{3}x \: km$

Remaining time =

$\frac{x}{40} - \frac{1}{3} \times \frac{x}{40} = \frac{2}{3} \times \frac{x}{40} = \frac{x}{60} hours$

Now,

Speed to cover remaining distance =

$\frac{distance}{time} = \frac{1x}{3} \times \frac{60}{1x} = 20km {hour}^{ - 1}$

Henceforth, the speed he should maintain for the remaining distance to reach his destination on time is 20Km/h

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