9*30/54 = 5?

To solve this problem, let's first determine how many drivers will have to take a day off each day due to the cars being in repair.

Every day, 15 cars stay at the repair shop, leaving
60−15=45 cars available for driving.

Since there are 54 drivers in total,
54−45=9 drivers will have to take a day off each day.

Now, we need to find out how many days off in total the drivers will have in 30 days.

Since there are 9 drivers taking a day off each day, over 30 days,
9×30=270 days off in total.

To find out how many days off each driver will have on average, we divide the total number of days off (270) by the total number of drivers (54):

270 / 54 = 5

So, each driver will have an average of 5 days off in 30 days.

Therefore, the correct answer is option B: 5.

Bernard Baah
MS '05, Stanford
GMAT and GRE Instructor
MapAdvantage Prep

SherzodAzamov wrote: ↑

Fri Sep 24, 2021 2:05 am

There are 54 drivers and 60 cars in a taxi company. Every day, 15 cars will stay at the repair shop and drivers without cars will take a day off. How many days off will each driver have in 30 days?

A. 4
B. 5
C. 6
D. 7
E. 9

To solve this problem, we need to calculate the number of days off a driver will have in 30 days, given that 15 cars are in the repair shop each day.
Since there are 60 cars and 15 are in the repair shop, there are 60 - 15 = 45 cars available each day. With 54 drivers and only 45 cars, 54 - 45 = 9 drivers will have to take a day off each day.
Now, we need to find out how many days off each driver will have in 30 days. Since the same number of drivers take a day off each day, we can divide the total number of days by the number of drivers to find the number of days off for each driver:
30 days×9 drivers without cars​/54 drivers=270/54​=5
So, each driver will have 5 days off in 30 days.
The correct answer is B. 5.

Each driver will have 5 days off in 30 days.

The answer is 5stickman hook

Total days off for drivers without cars = 30 days * 9 drivers = 270 days.
Average days off per driver = 270 days / 54 drivers = 5 days.
Therefore, the answer is B. 5.

Step 1: Count available cars daily

Total cars = 60

Cars in repair daily = 15

So, cars available for drivers each day = 60−15=45

Step 2: Drivers and days off daily

Total drivers = 54

Cars available daily = 45

Drivers who can drive daily = 45

Drivers left without cars = 54−45=9.

So, 9 drivers take a day off each day.

Step 3: Total driver-days off in 30 days

Each day: 9 drivers off

In 30 days: 9×30=270 driver-days off.

Step 4: Average days off per driver

Total drivers = 54

So, each driver’s days off =270/54=5

Great post!