Question

in a 360m race Arun can beat Varun by 90m. Tharun can meet Varun by 36m. On the same day same condition with same track of 480m Arun can beat Tharun by ............

Answer 1

Given :-

• in a 360m race Arun can beat Varun by 90m.
• Tharun can meet Varun by 36m.

To find :-

• in a 480m race Arun can beat Tharun by ?

Solution :-

Given that, in a 360m race Arun can beat Varun by 90m.

So,

we can say that, when arun completes 360m varun was 90m behind the finish point .

Or,

when Arun covers 360m , varun covers (360 - 90) = 270m .

→ A : V = 360 : 270

→ A : V = 4 : 3

Similarly,

Given that, in same race of 360m race Tharun can beat Varun by 36m.

So,

we can say that, when Tharun completes 360m varun was 36m behind the finish point .

Or,

when Tharun covers 360m , varun covers (360 - 36) = 324m.

→ T : V = 360 : 324

→ T : V = 10 : 9

Therefore,

→ A : V : T = (4*9) : (3*9) : (3*10) = 36 : 27 : 30 = 12 : 9 : 10.

Conclusion :-

• when Arun runs 12m , Tharun runs 10m.

Hence,

→ Arun 12m = Tharun 10m

→ Arun 12*40m = Tharun 10*40m

→ Arun 480m = Tharun 400m.

So,

→ Arun Beats , Tharun by = 480 - 400 = 80m.

∴ in a race of 480m Arun beats Tharun by 80m. (Ans.)

Answer 2

Answer:

80m

Step-by-step explanation:

Given :-

in a 360m race Arun can beat Varun by 90m.

Tharun can meet Varun by 36m.

To find :-

in a 480m race Arun can beat Tharun by ?

Solution :-

Given that, in a 360m race Arun can beat Varun by 90m.

So,

we can say that, when arun completes 360m varun was 90m behind the finish point .

Or,

when Arun covers 360m , varun covers (360 - 90) = 270m .

→ A : V = 360 : 270

→ A : V = 4 : 3

Similarly,

Given that, in same race of 360m race Tharun can beat Varun by 36m.

So,

we can say that, when Tharun completes 360m varun was 36m behind the finish point .

Or,

when Tharun covers 360m , varun covers (360 - 36) = 324m.

→ T : V = 360 : 324

→ T : V = 10 : 9

Therefore,

→ A : V : T = (4*9) : (3*9) : (3*10) = 36 : 27 : 30 = 12 : 9 : 10.

Conclusion :-

when Arun runs 12m , Tharun runs 10m.

Hence,

→ Arun 12m = Tharun 10m

→ Arun 12*40m = Tharun 10*40m

→ Arun 480m = Tharun 400m.

So,

→ Arun Beats , Tharun by = 480 - 400 = 80m.

∴ in a race of 480m Arun beats Tharun by 80m. (Ans.)