### If Jeff drives at three fourth 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.

9 hours

Step by Step Explanation:
1. Let us assume that Shweta drives at a usual speed of S km/hr and takes t hours to cover a certain distance.

According to the question,
If, speed =

 3 4
× S km/hr
Time = t + 3 hours
2. We know that the distance travelled in both the cases remains same.

Also, Distance = Speed × Time

So, S × t =

 3 4
× S × (t + 3)
⇒ St =
 3 4
S(t + 3)
⇒ St =
 3 4
St +
 9 4
S
⇒ St -
 3 4
St =
 9 4
S
⇒
 1 4
St =
 9 4
S
⇒ t = 9
3. Thus, the time taken by her to cover the distance with usual speed is 9 hours.

You can reuse this answer