The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram. What is the ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am?

Histogram Data:

Time of the day	Number of Cars
6 am - 7 am	70
7 am - 8 am	105
8 am - 9 am	130
9 am - 10 am	115
10 am - 11 am	95
11 am - 12 noon	45

The correct option is 5 : 6.

Let us find the ratio step-by-step from the provided histogram data.

Step 1: Calculate the total number of cars that passed between 6 am and 8 am.
The time interval from 6 am to 8 am is composed of two sub-intervals:
• 6 am - 7 am: 70 cars
• 7 am - 8 am: 105 cars
Adding these together:
Total cars (6 am - 8 am) = 70 + 105 = 175 cars.

Step 2: Calculate the total number of cars that passed between 9 am and 11 am.
The time interval from 9 am to 11 am is composed of two sub-intervals:
• 9 am - 10 am: 115 cars
• 10 am - 11 am: 95 cars
Adding these together:
Total cars (9 am - 11 am) = 115 + 95 = 210 cars.

Step 3: Determine the ratio of the two quantities.
We need to find the ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am:
Ratio = 175 : 210

To simplify this ratio, we divide both terms by their greatest common divisor (GCD), which is 35:

$\frac{175}{35}=5$

$\frac{210}{35}=6$

Thus, the simplified ratio is 5 : 6.