Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
Correct Answer : C
A leather factory produces two kinds of bags, standard and deluxe. The profit margin is Rs.20 on a standard bag and Rs.30 on a deluxe bag. Every bag must be processed on machine A and on machine B. The processing times per bag on the two machines are as follows:
Time required (Hours / bag)
The total time available on machine A is 700 hours and on machine B is 1250 hours. Among the following production plans, which o ne meets the machine availability constraints and maximizes the profit?
A tank can be filled by two taps - Tap I and Tap II. The volume of the tank is 5000 litres. Tap I fills the tank at a rate of 1 litre/second. Tap II fills the tank at a rate of 3 litres in 2 seconds. On a particular day, Tap II is opened 33 1/3 minutes after the time at which Tap I is opened. If after 45 minutes from the time when Tap I was opened, the tank develops a hole which empties the tank at the rate of 2.5 litres/second, how full is the tank in 2 hours from the time when Tap I opened?
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?