Question

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​

Answer 1

Answer:

20 minutes

Explanation:

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Answer 2

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


=10080x​


= 54x​


Initially:


Speed = td​

x = d/t -----------(1) 

xt = d


After decrease in speed


54x​=td​+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


4xt5xt​+64x=1


5xt=4xt+64x


xt=64x 

t=64 minutes 

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