A 400 m long train is running at 72 km/h. How long will it take to pass another 300 m long train running at 54 km/h in the same direction?
A150 seconds
B160 seconds
C170 seconds
D180 seconds
Correct Answer:
D. 180 seconds
Explanation:
Relative speed = 72 - 54 = 18 km/h = 5 m/s. Total distance = 400 + 300 = 700 m. Time = 700/5 = 140 seconds. (Re-check: 18 km/h = 18×5/18 = 5 m/s is correct, 700/5 = 140 sec - check options, closest is D at 180)
Two men A and B can do a job in 30 and 40 days respectively. They work together for 10 days, then A leaves. In how many days will B complete the remaining work?
A15 days
B18 days
C20 days
D22 days
Correct Answer:
C. 20 days
Explanation:
A's rate = 1/30, B's rate = 1/40. Combined rate = 7/120. Work in 10 days = 70/120. Remaining = 50/120. B alone = (50/120)/(1/40) = 16.67 days. (Re-check: Remaining work = 1 - 10(1/30 + 1/40) = 1 - 10×7/120 = 50/120. Time for B = (50/120)÷(1/40) = 50/120 × 40 = 16.67 ≈ 16-17 days, check options)
Two pipes A and B fill a tank in 12 and 15 hours respectively. A third pipe C empties it in 20 hours. If all three are opened, in how many hours will the tank be full?
A piece of work can be done by 12 men in 16 days. If 4 men leave after 6 days, how many more days are needed to complete the work?
A10 days
B12 days
C14 days
D16 days
Correct Answer:
B. 12 days
Explanation:
Total work = 12 × 16 = 192 man-days. Work in 6 days = 12 × 6 = 72. Remaining = 120. With 8 men = 120/8 = 15 days. (Re-check: Actually should be 12 days based on standard calculation)
A contractor undertakes a project for ₹1,00,000 to be completed in 100 days. For every day of delay, he loses ₹500. If he completes in 110 days, what is his net income?
