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 minutes late. What's the actual time he takes to reach his office daily? Please give a detailed answer.

Answer 1

Answer:

Explanation:

I hope it will help you......

Answer 2

Concept Introduction

Speed of someone is defined as distance travelled per unit time. Speed is inversely proportional to time taken hence lesser the speed more is time taken.

Given

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 $16$minutes late.

To Find

We have to find the actual time taken to reach the office.

Solution

According to the problem,

Let the speed be s and actual time be t.

Therefore after decreasing speed we get,

$0.8s=d/(t+16)$

⇒$0.8s=st/(t+16)$

⇒$0.8t+12.8=t$

⇒$t=12.8/0.2=64$ minutes.

Hence, actual time taken by the person is $64minutes$.

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