Question 1: Express the following speeds in meter/sec:
Answer:
Question 2: Express the following speeds in km/hr:
Answer:
Question 3: An athlete covers a distance of meters in
minutes
seconds. Find his speed in km/hr.
Answer:
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
?
Answer:
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?
Answer:
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?
Answer:
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?
Answer:
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.
Answer:
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.
Answer:
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.?
Answer:
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.