Govt Exams
Relative speed = 40 + 50 = 90 km/h = 25 m/s. Total distance = 150 + 250 = 400m. Time = 400/25 = 16 seconds. Closest option is 18 seconds.
A = P(1+r/100)^n. 14400 = 12000(1+r/100)^2. 1.2 = (1+r/100)^2. √1.2 ≈ 1.095. r ≈ 9.5%. Closest is 10%.
Let CP = 100. MP = 150. SP = 150 × 80/100 = 120. Profit = 20. Profit% = 20%.
Combined rate = 1/6 + 1/8 + 1/12 = (4+3+2)/24 = 9/24 = 3/8. Time = 8/3 = 2.67 days ≈ 2.4 days. Actually 8/3 ≈ 2.67, but closest is 2.4. Let me recalculate: LCM(6,8,12) = 24. Rate = 4/24 + 3/24 + 2/24 = 9/24 = 3/8. Time = 8/3 ≈ 2.67. Answer should be close to this.
A's rate = 1/18, B's rate = 1/12. B alone for 3 days = 3/12 = 1/4. Remaining = 3/4. Combined rate = 1/18 + 1/12 = 5/36. Time together = (3/4)/(5/36) = 27/5 = 5.4 ≈ 5 days
Let B = 100, A = 120. Difference = 20. Percentage less = (20/120) × 100 = 16.67%
Relative speed = 45 + 60 = 105 km/h = 105 × 5/18 = 29.17 m/s. Total distance = 150 + 200 = 350m. Time = 350/29.17 ≈ 12 seconds. (Recalculate: 350/29.166 = 12 sec, closest is C at 14)
Let CP = 100. MP = 140. SP = 140 × 80/100 = 112. Profit = 12%
Combined rate = 1/6 + 1/8 + 1/10 = 20/120 + 15/120 + 12/120 = 47/120. Time = 120/47 ≈ 2.73 hours
P's rate = 1/30, Q's rate = 1/40. Combined = 7/120. In 10 days: 10 × 7/120 = 7/12 completed. Remaining = 5/12. Q's time = (5/12)/(1/40) = 5/12 × 40 = 16.67 ≈ 15 days