Question

2 1) "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​

Answer 1

Answer:

(3)

Explanation:

Let his original velocity be v, and he takes time = t to reach his office.

Let the distance of office from home be x then,

x = vt                  ------- (1)

Now he has reduced the speed by 20%, so new speed = v - 20v/100 = 4v/5

or, x = 4vt₁/5       -------(2)

From, 1 and 2

vt = 4vt₁/5

or, t = 4t₁/5

or, t₁ = 5t/4

Also, t₁ - t = 16 minutes

or, 5t/4 -t = 16

or, t = 64 minutes