Physics, asked by sanchitapandey12, 8 months ago

12
12
5.
A person goes to his office from his home daily at a fixed speed. But today he decided to reduce his speed
by 20% as a result he reaches his office 16 minute late. What's the actual/original time he takes to reach
his office daily?
(1) 20 minutes
(2) 30 minutes
(3) 64 minutes
(4) 40 minutes
150​

Answers

Answered by harshika21410
1

Answer: Is 64 minutes because

Explanation :ANSWER

Let the speed by which he goes to his office be x.

So, his speed by 20%, his final speed would be  

80%ofx

=  

100

80x

​  

 

=  

5

4x

​  

 

Initially:

Speed =  

t

d

​  

 

x = d/t -----------(1)  

xt = d

After decrease in speed

5

4x

​  

=  

t

d

​  

+16 -------(2)

Or the equation can also be written as -

4xt+64x=5d

Eliminating d from equation(1)&(2)

5xt=5d  Rewriting Eq.1

4xt+64x=5d ---- Eq.2

4xt

5xt

​  

+64x=1

5xt=4xt+64x

xt=64x  

t=64 minutes

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