All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1591
In a race of 700 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
77.78
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 700 m while B must cover 777.78 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 77.78 m.
1592
In a race of 450 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
56.25
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 450 m while B must cover 506.25 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 56.25 m.
1593
In a race of 1150 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
104.55
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1150 m while B must cover 1254.55 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 104.55 m.
1594
In a race of 750 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
83.33
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 750 m while B must cover 833.33 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 83.33 m.
1595
In a race of 450 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
45.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 450 m while B must cover 495.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 45.0 m.
1596
In a race of 850 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
85.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 850 m while B must cover 935.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 85.0 m.
1597
In a race of 1450 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
181.25
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1450 m while B must cover 1631.25 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 181.25 m.
1598
In a race of 400 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
50.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 400 m while B must cover 450.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 50.0 m.
1599
In a race of 1100 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
91.67
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1100 m while B must cover 1191.67 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 91.67 m.
1600
In a race of 1050 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
87.5
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1050 m while B must cover 1137.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 87.5 m.