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

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.

Options

A

5

B

3

C

10

D

8

E

7

Show Answer

Correct Answer :

Option E

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 d be the new total number of drifts car P needs to make.
Using the points formula for car P:
50 × d - 20 × 3 = 290

Let us solve for d:
50 × d - 60 = 290
50 × d = 290 + 60
50 × d = 350
d = 350 / 50 = 7

Thus, car P should have made a total of 7 drifts.

Therefore, the correct option is 7.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CLAT
  • intermediate
  • 2 hours
  • current affairs, general knowledge, legal reasoning, logical reasoning, quant

  • CLAT
  • intermediate
  • 2 hours
  • current affairs, english, general knowledge, legal reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...