Question

If Srikant drives at four fifths of his usual speed, he covers a certain distance in $3$ hours more than the time he takes while driving at his usual speed. Find the time taken by him to cover this distance with his usual speed.

• A. $12$ hours
• B. $14$ hours
• C. $10$ hours
• D. $8$ hours

Answer 1

The correct option is A $12$ hours

We know that

$V=\frac{D}{T}$ .............(i)

$V$ = Usual speed , $D$ = Distance and $T$ = Usual time

As in given question,

$V\times \frac{4}{5}=\frac{D}{T+3}$ ...............(ii)

From (i) & (ii):-

$\frac{D}{T}\times \frac{4}{5}=\frac{D}{T+3}$

$4D(T+3)=5TD$

$4TD+12D=5TD$

$TD=12D$

$T=12$ hours