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 |
In order to gain 10 more points than car S, how many total drifts should car P have made, if car P’s time and number of crashes remain same.
Correct Answer :
7
Solution :
To find the total number of drifts car P needs to make to gain 10 more points than car S, let us first calculate the points scored by car S and the current points of car P using the given formula:
Points = 50 × drifts - 20 × crashes
First, we look at the data for Car S from the table:
• Drifts made by S = 8
• Crashes by S = 6
Now, we calculate the points for Car S:
Points for S = 50 × 8 - 20 × 6
Points for S = 400 - 120 = 280
The question states that car P wants to gain 10 more points than car S.
Therefore, the target points for Car P is:
Target Points for P = Points for S + 10
Target Points for P = 280 + 10 = 290
Next, let us look at the data for Car P:
• Number of crashes by P remains the same, which is 3 (from the table).
Let be the new total number of drifts car P needs to make.
Using the points formula for car P:
50 × - 20 × 3 = 290
Let us solve for :
50 × - 60 = 290
50 × = 290 + 60
50 × = 350
= 350 / 50 = 7
Thus, car P should have made a total of 7 drifts.
Therefore, the correct option is 7.
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