Question

A takes 1 hr more than b in walking 24 km if a increase his speed by 50% he wiol take 1 hr less than b find the walking speed of a and b

Answer 1

Answer:

Distance = 24 km

Let’s assume,  

Speed of A be “x” km/hr

Speed of B be “y” km/hr

We know,

Time = Distance/Speed

Step 1:

It is given that A takes 1 hr more than B

So,  

Time taken by A = 24/x hr

Time taken by B = 24/y hr

∴ 24/x – 24/y = 1

⇒ 24/y = 24/x - 1 ….. (i)

Step 2:

Also, given that A increases his speed by 50% i.e., his speed now becomes “1.5 x” km/hr and thus takes 1 hr less than B.

So,  

Time taken by A = 24 / (1.5 x) hr = 16/x hr

Time taken by B = 24/y hr

∴ 24/y – 16/x = 1

Substituting (i), we get

⇒ 24/x – 1 - 16/x = 1

⇒ 8/x = 2

⇒ x = 8/2 = 4 km /hr

And,  

Substituting the value of x in eq. (i)

24/y = 24/4 – 1  

⇒ 24/y = 5

⇒ y = 24 / 5 = 4.8 km /hr

Thus, the speed of A is 4 km/hr and B is 4.8 km/hr.

Answer 2

Answer:

speed of A = 4 km/hr

speed of B = 4.8 km/hr

Explanation:

Given the total Distance = 24 km

Let’s assume that; 

Speed of A be “x” km/hr;

&

Speed of B be “y” km/hr

Since we know that;

Time = Distance/Speed

Since according to question it is being mentioned that;

A takes 1 hr more than B

So,  

Time taken by A will be = 24/x hr

Time taken by B will be  = 24/y hr

∴ 24/x – 24/y = 1..........(1)

Since according to question it is being mentioned that;

if A increase his speed by 50% he will take 1 hr less than B

A takes 1 hr less than B

Also, given that A increases his speed by 50% i.e., his speed now becomes “1.5 x” km/hr and thus takes 1 hr less than B.

So,  

Now speed of A will increse by 50%

∴ 50 % off x = x + x/2 = 1.5x

Time taken by A will be = 24/1.5 hr = 16 /x hr

Time taken by B will be  = 24/y hr

∴ 24/y - 16/x = 1..............(2)

Adding (1) and (2);

We get,   $\frac{24}{x} -  \frac{24}{y}  +\frac{24}{y} -\frac{16}{y}  = 2$

$\frac{8}{x}  = 2$

x = 4 km/hr

∴ The speed of A is 4 km/hr.

Putting x in eq (1);

$\frac{24}{4} -1 = \frac{24}{y}$

$5 \times y = 24$

y = 4.8 km/hr

∴ The speed of B is 4.8 km/hr.