Question

Walking at 3/4 of his usual speed a man is 16 minutes

Answer 1

Question:

Walking at 3/4 of the usual speed a man is 16 minutes late in reaching his office. What is The usual time taken by the man to reach the office ?

Answer:

The usual time taken to reach the office is 48 minutes.

Step-by-step explanation:

Let the distance covered be = s

Speed = v

Time =t

So we know that v=s/t

So now we get s=vt. -------------1

It is given that the man has covered the distance with 3/4 of the actual speed.

So now the speed = 3/4s. ------------2

Also time time has been decreased by 16 minutes.

So now the time = t+16

From equation 1 & 2 , we get

st= 3/4s×(t+16)

=> Cancelling s from both the sides , we get

t=3/4(t+16)

=>t=3t/4+3×16/4

=>t-3t/4= 12

=>1t/4=12

=>t=12×4=48

Hence actual time is 48 minutes.

Answer 2

Answer:

The usual time taken to reach the office is 48 minute.

Step-by-step explanation:

Let the distance covered be = s

Speed = v

Time = t

So we know that v = s/t

So now we get s = vt -----------1

It is given that the man has covered the distance with 3/4 of the actual speed.

So now the speed = 3/4s ----------------2

Also time has been decreased by 16 minutes.

So now the time = t + 16

From equation 1 & 2 , we get

st = 3/4s × ( t + 16 )

» Cancelling s from both the sides, we get

t = 3/4 ( t + 16 )

» t = 3t/4 + 3 × 16/4

» t - 3t/4 = 12

» 1t/4 = 12

» t = 12 × 4 = 48

Hence actual time is 48 minutes.