Explanation
Step 1: Set up the variables for the car
Let's assume the parameters for the car journey are:
Using the basic formula Speed=TimeDistance, the speed of the car (Sc) is:
Sc=TD
Step 2: Establish the variables for the scooter based on given conditions
According to the question, the scooter parameters are relative to the car:
Now, find the speed of the scooter (Ss):
Ss=Time of scooterDistance of scooter=2T2D=4TD
Step 3: Calculate the required ratio
We need to find the ratio of the speed of the scooter to the speed of the car (ScSs):
ScSs=TD4TD
Canceling out D and T from both numerator and denominator:
ScSs=41
Thus, the ratio of the speed of the scooter to that of the car is 1:4.
Correct Answer
(d) 1:4
