Question 1: Express the following speeds in meter/sec:

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Question 2: Express the following speeds in km/hr:

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Question 3: An athlete covers a distance of meters in minutes seconds. Find his speed in km/hr.

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Question 4: Walking at the rate of a man covers a certain distance in hours. How much time will be taken by the man to cover the same distance, if he cycles at ?

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Question 5: A car can finish a certain journey in hours at a speed of . By how much the speed of car must be increased to cover the same distance in hours?

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Question 6: A bus covers a certain distance in minutes, if it runs at a speed of . What must be the speed of the bus in order to reduce the time of journey to minutes?

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Question 7: A motor car starts with the speed of with its speed increasing every two hours by . In how much time will it cover a distance of km?

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Question 8: A man takes steps in walking meters. If he takes steps in second, find his speed in (i) m/sec (ii) km/hr.

Answer:

i)

ii)

Question 9: A man walks at for hours and at for hours. Find his average speed.

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Question 10: A man covers a distance of km at the speed of and another km at the speed of . Find his average speed for the whole journey.

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Question 11: Two buses travel to a place at and respectively. If the second bus takes hours less than the first for the same journey, find the length of the journey.

Answer:

be the distance of the journey

Question 12: A boy goes to school from his village at and returns back at . If he takes hours in all, what is the distance between the village and the school?

Answer:

Let be the distance of the journey

Question 13: A bus completes a journey of km in . The first part of the journey performed at . Calculate the speed of the rest of the journey.

Answer:

Let be the speed of the rest of the journey

Question 14: A man drives km from town A to town B in hours min and returns back to town A from town B in hours min. Find his average speed for the whole journey.

Answer:

Question 15: A car completed a journey in hours. One-third of the journey was performed at and the rest at . Find the total length of the journey.

Answer:

Let be the distance of the journey.

Question 16: A cyclist covered a certain distance in hours. The speed for first half of the distance was and for the second half it was . Find the total distance covered by him.

Answer:

Let be the distance of the journey.

Question 17: A person travels equal distances with speeds of , and and takes a total time of minutes. Find the total distance.

Answer:

Let be the distance of each leg

Question 18: A farmer traveled a distance of km in hours. He traveled partly on foot at and partly on bicycle at . Find the distance traveled by him on foot.

Answer:

Let be the distance traveled by foot

Question 19: Rohan cycles to his office at the rate of and is late by minutes. However, if he travels at , he reaches minutes earlier than the usual time. What is the distance of his office from his residence?

Answer:

Let be the distance to office. The difference of the time in the two cases is 8 minutes.

Solving for (Distance of his office from his residency)

Question 20: Robert is travelling on his cycle and has calculated to reach point A at 2 p.m. if he travels at . However, he will reach there at 12 noon if he travels at . At what speed must he travel to reach A at 1 p.m.?

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Question 21: If a train runs at , it reaches its destination late by minutes, but if it runs at , it is late by minutes only. Find the correct time for the train to complete its journey.

Answer:

(Distance of his office from his residency)

Time taken to cover 20 km=30 minutes

Therefore the correct time is 19 minutes

Question 22: The distance between Delhi and Hyderabad is km. A train leaves Delhi and proceeds towards Hyderabad at a uniform speed of . Another train leaves Hyderabad at the same time and proceeds towards Delhi at a uniform speed of . When and where will they meet?

Answer:

from Delhi

. The trains will meet 1000 km from Delhi.