Question

Aman takes 2 hours more than Nishant to cover a distance of 30 km. If aman doubles his speed he would take 1 hour less than Nishant. Find their speed of walking??​

Answer 1

Answer:

The speed of Aman is 5 km/hour and that of Nishant is 7.5 km/hour.

Step-by-step explanation:

The two conditions are studied and accordingly the two equations are formed.

They are solved individually and then equated( attached in the picture below).

From the two equations, we get the ratio between both their speeds-

Let N be the initial speed of Nishant and A be the initial speed of Aman

We get- N: A= 3:2 ( Ratio of the time will be just the opposite, which is 2: 3)

Since originally Aman takes two hours more than Nishant, it can be stated that,

The difference in their time= 2 hours

So 1 unit = 2 hours

So, 3 units= 6 hours ( Aman)

So, 2 units= 4 hours ( Nishant)

Now, as we know,

Speed = Distance/Time

For Aman, Speed = 30/6 = 5 km/hour

For Nishant, Speed = 30/4 = 7.5 km/hour