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Made bySaurav Hathi

[Advance Learning] Quant - Time & Speed, Work & Wages and Trigonometry-2

Q1:

A train travels at a speed of 80 km/hr. After every 15 kms, It stops for 4 mins. Then the time taken by it to cover a distance of 330 km will be? 

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Q2:

Anvi can complete one-fourth of a piece of work in five-twelfth of the time taken by Bhavani to complete the entire work. If they together can complete the work in 15 days, then in how many days can Bhavani working alone complete the work?

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Q3:

A 300 m long train is running at a speed of 50 km/h. How much time will it take to pass a boy cycling at 15 km/h in the same direction in which the train is going? 


 

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Q4:

The rate at which Annie chops the vegetables is 50% more than that of Nanny. If both of them chop the vegetables simultaneously, they take 2 hours to fill the container. The time taken by Nanny to fill the container alone is:

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Q5:

Arvind can do a piece of work in 10 days and Bhupesh in 20 days. They work together but 2 days before the completion of the work, Arvind leaves. In how many days was the work completed? 

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Q6:

If Kriti walks at 5 km/h she is late for her school by 7 min. If she walks at 6 km/h she reaches 5 min early from her school time. Find the distance between her home and her school.

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Q7:

An ant climbs th part of remaining portion of a plant every hour and slips 20% of the total part climbed. Find the time taken by ant to reach at the top of plant. 

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Q8:

If 20 adults and 17 children can complete a given task in 3 days and 18 adults and 9 children can do it in 5 days, then what is the ratio of the work done daily by an adult to a child?

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Q9:

If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days, compare the daily work done by a man with that done by a boy.

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Q10:

A and B can do a piece of work 10 days. B and C can do it in 15 days. If A is twice as good as  C, find in what time B alone can do the total work? 

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Q11:

A journey is covered by a sports bike in 25 hours. It covered the first half at 40 km/h and the second half at 50 km/h. What is the distance covered in the journey?

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Q12:

Two trains are running on parallel tracks. The slower train is moving at 18 km/hr. The faster train passes a man sitting in the slower train in 52 seconds. Find the time taken by the faster train to overtake the slower one if the lengths of the slower and the faster trains are 100 m and 130 m respectively. 

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Q13:

A man travels on a scooter from A to B at the speed of 30 km/hr, and returns from B to A at 20 km/hr. The total journey took 10 hr. But when he increased his speeds in both conditions by 20%, find the time taken to cover the same distance. 

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Q14:

Find minimum value of 4cos60∘ + 3sin60∘.

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Q15:

A, B and C can walk at the rate of 3, 4 and 5 Km per hour respectively. They start from Pune at 1, 2, 3 o’clock respectively. When B catches A, B sends A back with a message to C. When will (C) get the message?

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Q16:

A motor car does a journey in 27 hrs, the first half at 14 km/hr and the second half at 13 km/hr. Find the distance.

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Q17:

Two men and seven boys can do a piece of work in 14 days, three men and eight boys can do the same in 11 days. Find the amount of time taken by eight men and six boys to complete three times the work? 

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Q18:

In a game of billiards, A can give B 12 points in 60 and A can give C 10 points in 90. How many can C give B in a game of 70? 

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Q19:

A can do a piece of work in days ,B and C can do the same work in days each.If working together they charge Rs 190for completion of work and their earnings ratio is 4:6:9.Find the sum of money earned by C,if he completes the whole work alone. 

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Q20:

The ratio of speed of A and B is 2:3.To cover a certain distance A takes 10 minutes more than the time taken by B.If A had walked at double the speed ,how much less time A will take as compared to B to cover the same distance. 

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