Question : A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination. It's usual time to cover the same distance is:
Option 1: 15 minutes
Option 2: 10 minutes
Option 3: 30 minutes
Option 4: 20 minutes
Correct Answer: 15 minutes
Solution :
Given,
A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination.
We know that, time × Speed = Distance
Let the usual speed of the train and distance be 4S km/h and D km.
Time to cover the distance =
45 minutes =
According to the question,
⇒
⇒
⇒
⇒
=
=
= 15 minutes
Hence, the correct answer is 15 minutes.