This document contains 18 word problems related to calculating speed, distance, and time for objects traveling at various speeds. The problems involve converting between km/h and m/s, calculating distances and times traveled given speed and time information, determining average speeds for journeys with multiple speeds, and calculating missing information like distances or speeds given other details about journeys.

1. Time Speed
Distance-1

2. 1. Convert the following into m/s.
a) 18km/h
b) 36km/h
c) 54km/h
d) 45km/h
e) 126km/h

3. 2. Convert the following into km/h
a) 5m/s
b) 10m/s
c) 30m/s
d) 45m/s
e) 15m/s

4. 3. Amit starts from home to college every day at the speed of 15 m/s at 9AM
and reaches college at 11 am. What is the distance between home and
college?

5. 4. In the Above question, if he travels from home to gym which is 36 km away,
how much time will he take to reach?

6. 5. In Q3, one day he starts at 10am for his college, by what speed should he
travel so that he reaches on time.

7. 6. Amar travels from his farmhouse to office which is 90 km away. He covers
one-third distance with a speed of 20km/h, one-half distance with a speed
of 15km/h and the rest in 1 hour. What was his average speed for the whole
journey?

8. 7. Praveen travels from Pune to Mumbai at a speed of 50km/h and comes back
the pune with a speed of 30 km/h. What is his average speed for the entire
journey?

9. 8. Chirag is on a holiday a trip to Goa. He starts from Pune at a speed of 50km/h
and reaches Kolhapur in 4 hours. From Kolhapur he drives at a speed of
100km/h and reaches Goa in next 4 hours. What was average speed for the
entire journey?

10. 9. A train moving at two-third of its normal speed reaches the destination half
an hour late. What is the normal time taken?

11. 10. Ritu travelled from her house to the school at the rate of 15 kmph and
walked back at the rate of 5 kmph. If the whole journey took 2 hours 40
minutes, then find the distance (in km) of the school from the Ritu's house.
a) 10
b) 20
c) 30
d) 40

12. 11. A car travels 300 km at a uniform rate. If the speed of the car had been
5 km/hr more, the journey would have taken 2 hr less. What is the speed
of the car?
a) 20 km/hr
b) 25 km/hr
c) 30 km/hr
d) 60km/hr

13. 12. A boy goes to his school from his house at a speed of 3km/hr and returns at
a speed of 2km/hr. If he takes 5 hours in going and coming, the distance
between his house and school is
a) 6 km
b) 5 km
c) 5.5 km
d) 6.5 km

14. 13. Two trains start at the same time from Hyderabad and Delhi and proceed
toward each other at 80km/hr and 95 km/hr respectively. When the trains
meet, it is found that one has travelled 180 km more than the other. Find the
distance Delhi and Hyderabad.
a) 210 km
b) 2100 km
c) 2010 km
d) None of the above

15. 14. If a person has a speed of 40 km/hr, he reaches the office 5 min late and if
he increases his speed to 50 km/hr, he reaches the office 3 min early.
Calculate the distance to be covered.
a) 18 km
b) 26.6 km
c) 30 km
d) 36 km

16. 15. A CL student starts from his home and reaches CL centre at 2.30 pm by his
car. On a certain day due to an inconvenience in his car, he reduced his
speed to 3 /4 th of his usual speed and thus he was late by 10 minutes.
How much time does he take normally?
a) 40 minutes
b) 20 minutes
c) 30 minutes
d) 7.5 minutes
e) cannot be determined

17. 16. The Difference between the time taken by two cars to travel a distance of
350 km is 2 h 20 min. If the difference between their speeds is 5 km/h, then
the speed of faster car is
a) 30 km/h
b) 35 km/h
c) 40 km/h
d) 45 km/h

18. 17. If a man cycle at 10 km/h, then he arrives at a certain place at 1 pm. If he
cycles at 15 km/h, he will arrive at the same place at 11 am. At what speed
must he cycle to get there at noon?
a) 11 km/h
b) 12 km/h
c) 13 km/h
d) 14 km/h

19. 18. Mr. X and Mr. Y leave A at 8:00 am, take different routes to city C and reach
at the same time .X takes the highway from A to B to c and travels at a
average speed of 61.875 km/h Y takes the direct route AC and travels at
45 km/h on segment AD. Y’s speed on segment DC is 55 km/h
i. What is the average speed of Y?
a) 47.5 km/h
b) 49.5 km/h
c) 50 km/h
d) 52 km/h

20. 18. Mr. X and Mr. Y leave A at 8:00 am, take different routes to city C and reach
at the same time .X takes the highway from A to B to c and travels at a
average speed of 61.875 km/h Y takes the direct route AC and travels at
45 km/h on segment AD. Y’s speed on segment DC is 55 km/h
ii. The total distance travelled by Y during the journey
is approximately
a) 105 km
b) 150 km
c) 130 km
d) Cannot be determined

21. 18. Mr. X and Mr. Y leave A at 8:00 am, take different routes to city C and reach
at the same time .X takes the highway from A to B to c and travels at a
average speed of 61.875 km/h Y takes the direct route AC and travels at
45 km/h on segment AD. Y’s speed on segment DC is 55 km/h
iii. What is the length of the road segment BD?
a) 50km
b) 52.5km
c) 55 km
d) Cannot be determined

22. Thanks!