Question Details

The table given below shows the data about track record of car racing game, where 4 cars P, Q, R and S are competing to reach finishing line which is at a distance of 3000 m from their initial starting point.

1. Drift refers to over starting intentionally done by driver.
2. While calculating average speed, do not consider time taken in drift/crash.
3. Points = 50 × drifts – 20 × crashed

CarsDriftTime to reach finishing line (in sec)Crash
P51803
Q71205
R61504
S81006

Speed of car S is what percentage more than that of car Q?

Options

A

25%

B

3313%

C

50%

D

20%

E

15%

Show Answer

Correct Answer :

Option D

20%

Solution :

To find how much percentage more the speed of car S is compared to car Q, we first need to calculate the speeds of both cars.

The total distance to the finishing line for all cars is given as:
Distance = 3000 m

Step 1: Calculate the speed of Car Q
From the table, the time taken by Car Q to reach the finishing line is 120 seconds.
The speed of Car Q is calculated using the formula:

Speed of Q = Distance Time taken by Q

Speed of Q = 3000 120 = 25 m/s

Step 2: Calculate the speed of Car S
From the table, the time taken by Car S to reach the finishing line is 100 seconds.
The speed of Car S is:

Speed of S = Distance Time taken by S

Speed of S = 3000 100 = 30 m/s

Step 3: Calculate the percentage difference
We want to find by what percentage the speed of car S is more than that of car Q.
Difference in speed = Speed of S - Speed of Q = 30 m/s - 25 m/s = 5 m/s.
Percentage more is calculated with respect to the speed of car Q:

Percentage more = Speed of S - Speed of Q Speed of Q × 100

Percentage more = 5 25 × 100 = 20 %

Therefore, the speed of car S is 20% more than that of car Q.

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