Question

Raman takes four hour more than abhinav to cover the distance of40 km if raman double his speed he takes 3/2 hour more than abhinav to cover the same distance find the speed of both?​

Answer 1

Step-by-step explanation:

Lets assume that adrew cover a distance of 40 Km in x Hour at speed y.

So, Time taken by John to cover distance of 40 Km is x + 4 Hour at speed z.

Now, Formula for this type of question is

Speed = Distance / Time.

Distance = Speed * Time

Here Distance is common

so, Andrew’s Distance = John’s Distance

Andrew’s (Speed * Time) = John’s (Speed * Time)

xy = (x+4) z —————-(1)

Now, When John doubles his speed than he take 1 & 1/2 hr more than andrew to cover 40 km.

xy = (x + 1.5) 2z ————————(2)

from both equation

(x+4) z = (x + 1.5) 2z

x+4 = 2x + 3 (removing z from both side)

4 - 3 = 2x -x (Normalize)

x = 1

As we know Speed = Distance / Time.

so, Adrew’s speed (y) = 40/x = 40/1 = 40 Kmph

and John’s old speed (z) = 40/(x+4) = 40/ (1+ 4) = 40/5 = 8 Kmph

and John’s New speed (2z) = 2 * 8 = 16 Kmph

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