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
1631
In a race of 600 m, A runs at 12 m/s and B at 11 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 600 m while B must cover 650.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 50.0 m.
1632
In a race of 1200 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
150.0
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 1200 m while B must cover 1350.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 150.0 m.
1633
In a race of 900 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
90.0
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 900 m while B must cover 990.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 90.0 m.
1634
In a race of 1550 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
129.17
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 1550 m while B must cover 1679.17 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 129.17 m.
1635
In a race of 950 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
95.0
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 950 m while B must cover 1045.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 95.0 m.
1636
In a race of 1100 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
110.0
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 1100 m while B must cover 1210.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 110.0 m.
1637
In a race of 950 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
105.56
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 950 m while B must cover 1055.56 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 105.56 m.
1638
In a race of 1600 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
145.45
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 1600 m while B must cover 1745.45 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 145.45 m.
1639
In a race of 1550 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
193.75
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 1550 m while B must cover 1743.75 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 193.75 m.
1640
In a race of 900 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
100.0
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 900 m while B must cover 1000.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 100.0 m.