Final answer:
The ratios are 31:42 for the time comparison, and 9:2 for the eggs comparison. For the bus travel question, the bus can travel 192 km with 8 litres of diesel.
Step-by-step explanation:
Solving Ratio and Proportion Questions
For the first question about the ratio of 4 weeks 3 days to 6 weeks, we first convert everything to days. 1 week equals 7 days, so 4 weeks are 28 days and 3 additional days make it 31 days in total. For 6 weeks, we have 6 × 7 = 42 days. The ratio would be 31:42, which simplifies to 31/42 when transformed into a fraction.
For the second question regarding the ratio of 3 dozen eggs to 8 eggs, we need to note that 1 dozen equals 12 eggs. Therefore, 3 dozen eggs are 3 × 12 = 36 eggs. The ratio of 3 dozen eggs to 8 eggs is then 36:8, which simplifies to 9:2.
To solve the third question about the distance a bus can travel in 8 litres of diesel, we use a proportion. If 144 km is covered with 6 litres, then with 1 litre, the bus would travel 144 km / 6 litres = 24 km. Hence, in 8 litres, the bus can travel 8 × 24 km = 192 km.