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Sectional Test on Time and Work XII

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Question 1

Nupur goes to Kashipur from Bareily at 6 km/hr and returns to Bareily from Kashipur at x km/hr. What is the value of x, if average speed of Nupur while going and coming back is 12 km/hr?

Question 2

A does half as much work as B does and C does half as much work as A and B do together, in the same time. If C alone can do the work in 40 days, then working together, the three of them will finish the work in?

Question 3

A train of length 500m travelling at 72 km/hr approaches a man standing on the platform. How much time does it take to completely cross him?

Question 4

A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two thirds the time needed by the second pair to complete the work. Which is the first pair?

Question 5

Two shots were fired from the same place at an interval of 12 min; but a person in the train approaching the place hears the second shot 10 min after the first. The speed of the train, if speed of sound is 330 m/s, is
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Apr 14CAT & MBA