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
| Cars | Drift | Time to reach finishing line (in sec) | Crash |
|---|---|---|---|
| P | 5 | 180 | 3 |
| Q | 7 | 120 | 5 |
| R | 6 | 150 | 4 |
| S | 8 | 100 | 6 |
Speed of car S is what percentage more than that of car Q?
Correct Answer :
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:
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:
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:
Therefore, the speed of car S is 20% more than that of car Q.
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