To solve the problem, we need to find the ratio of 20 hours to 7 days and determine which of the given options it corresponds to.
Step 1: Convert days to hours
1 day = 24 hours.
Therefore, 7 days = \(7 \times 24 = 168\) hours.
Step 2: Express the ratio
We are given 20 hours to 7 days; in hours, this ratio becomes:
\(\frac{20}{168}\).
Step 3: Simplify the ratio
To simplify the fraction \(\frac{20}{168}\), we find the greatest common divisor (GCD) of 20 and 168, which is 4.
Simplified ratio: \(\frac{20 \div 4}{168 \div 4} = \frac{5}{42}\).
Hence, the ratio of 20 hours to 7 days is equivalent to 5:42.
Conclusion: The correct answer is 5:42, which matches option:
5:42
.
Important Questions from Simple Ratios
The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is:
The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:
A sum of Rs. 6342 is divided amongst A, B, C and D in the ratio 3 : 4 : 8 : 6. What is the difference between the shares of B and D?
The ratio of monthly incomes of A and B is 4 ∶ 5 and that of their monthly expenditures is 3 ∶ 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?
The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save Rs. 4,000 per month, then find the difference in their incomes (in Rs.)
