Time and Distance - Solved Questions
1. Ravi
covers a distance of 900 meters in 180 seconds. Find his speed in kmph?
a)18
kmph b)12 kmph c)25
kmph d)22 kmph
Answer : A
Explanation : Distance = 900
meters Time= 180 seconds
Speed =
Distance
Time
=
900
180
= 5 m/s.
But speed is asked in kmph , to
convert 5 mps into kmph , multiply it by
18
5
.
Speed in kmph = 5 x
18
5
= 18
kmph
2. The
speed of a vehicle is 54 km/h. What distance can it cover in 18 seconds?
a)100m b)200m
c)270m d)150m
Answer : C
Explanation : Speed is in
kmph, but time is in seconds. So we have to convert the speed, which is in kmph
into mps.
54 km/h = 54 x
5
18
= 15
m/s.
Distance it can cover in 18
seconds => Distance = (Speed x Time)
= (15 x 18) = 270 meters
3. A
motorbike can cover a distance of 270 km in 5 hours. What is its speed in m/s?
a) 12.5 mps b)13.3 mps c)15
mps d)20 mps
Answer : C
Explanation : Distance is 270 km and time is 5 hours.
Speed =
Distance
Time
=
270
5
= 54 kmph
But in the given question, speed in m/s is asked.
Converting obtained speed 54 kmph into m/s = 54 x
5
18
= 15 mps
4. A
car travels at a speed of 30 kmph . How much distance it can cover in 1 hour 40
minutes?
a)
50 km b)60 km c)70 km d)75
km
Answer : A
Explanation : Time = 1 hour 40
minutes = 1
40
60
hours =
5
3
hours
Distance covered by the car = (Speed
x Time )= (30 X
5
3
) = 50 km
5. The
speed of a car is 60 kmph. A boy runs at one fourth the speed of the car and
reaches his school from his house in 20 minutes. What is the distance between the
school and the house?
a)
3 km b)4 km c)5km d)6km
Answer : C
Explanation: Speed of car = 60 kmph.
The boy runs at one fourth the speed of the car è Speed of the boy
= ¼ x 60 kmph = 15 kmph
Time taken by the boy to reach his
school = 20 minutes =
1
3
rd hour
Distance between his school and house =
Speed x Time
=15 x
1
3
= 5 km
6. Raju
goes to his office from his house with a speed of 6 kmph and returns with a
speed of 8 kmph on his bicycle. What is his average speed of the whole journey?
a)
6.85 kmph b)7.5 kmph c)5.5
kmph d)8 kmph
Answer: A
Explanation: If a person
covers two equal distances at speeds x and y units respectively, then the
average speed of the man for complete
journey =
2XY
(x+y)
Here x= 6 and y= 8
Average Speed =
2 x 6 x 8
(6+8)
2 x
6 x 8 / (6+8) = 6.8 kmph approximately
7. A
car covers the first half of the distance with a speed of 50 kmph and the second
half of the distance with a speed of 40 kmph. It takes 9 hours to cover the total
distance. What is the distance covered in the whole journey?
a)
250 km b)330
km c)350 km d)400 km
Answer : D
Explanation: It covered the
total distance in two equal parts with speeds of 50 and 40 kmph.
The average speed of
the journey =
2xy
x+y
2 x 50 x 40
(50+40)
=
400
9
kmph
It
takes 9 hours to cover the total distance
Distance covered =
Average speed x Time
=
400
9
x 9 = 400 km
8. A
car covers 100 km at a speed of 20 kmph and then further travels 210 km at a speed
of 70 kmph .What is the average speed of the car?
a)35 kmph b)38.75 kmph c)45 kmph d)60 kmph
Answer :B
Explanation : Time taken to
cover 100km =
Distance
Time
=
100
20
= 5 hours
Time taken by car to cover next 210 km =
Distance
Time
=
210
70
= 3
hours
Total distance covered = (100 km
+ 210 km) = 310 km
Total time taken = (5 hours + 3
hours) = 8 hours
Therefore, average speed =
Total Distance
Total Time
=
310
8
hours = 38.75 kmph
9. Car
A takes 40 minutes to cover a distance of 120km. If the speed of Car B 25% faster than Car A , it will cover the
same distance in
a)24 min b)32 min
c)38 min
d)40 min
Answer: B
Explanation: Speed of car B
is 25% faster than Car A => Car B =
125
100
Car A
The ratio of speeds of
car A and car B = 100: 125 =4: 5
The ratio of times taken by car A and B
to cover the same distance = 5: 4
Time take by car A to cover
that distance => 5x = 40 => x= 8
minutes
Time taken by car B to cover the
distance = 4x =(4 x 8) =32 minutes
10. If a
girl travels with the speed of 2/7th of her original speed, then she reaches her
school 25 minutes late. Find the time
taken by her with her original speed.
a)
10 minutes b)15
minutes c)40 minutes d)1 hour
Answer : A
Explanation : Let the usual
time be t minutes
When time speed decreases to 2/7 of her usual speed, time taken will
increase to
7
2
th of her usual time.
The ratio of times taken by her at
reduced speed and original speed = 7 : 2
Difference of times = (7x-2x) = 5x =
25 minutes
Time taken at original
speed= 2x = 10 minutes
11. A person travels
3
7
th of his journey at 30 kmph
and the remaining
3
7
th journey at 20 kmph. If the total distance
travelled is 210km, what is his average speed for the whole journey?
a)22
kmph b)25 kmph c)27.65
kmph d)23.33 kmph
Answer : D
Explanation :
3
7
th his journey = 210 x
3
7
= 90 km
He travelled 90 km at 30 kmph => Time taken
to travel 90 km =
90
30
= 3 hours.
Remaining
3
7
th of journey = 210
x
3
7
= 120 km
He covered 120km at 20 kmph=> Time taken to
travel 120km =
120
20
=6 hours
Total distance = 210 km Total time= 9 hours
Average Speed =
Total distance
Total time
=
210
9
=23.3 kmph
12. The
ratio of the speed a car to that of a motorbike is 5:7. Also, a bus covered a distance
of 840km in 12 hours. The speed of the car is
3
7
th, the speed of
the bus. How much distance will the motorbike cover in 6 hours?
a)300
km b)336 km c)420 km d)475
km
Answer : B
Explanation : Distance
travelled by bus= 840 km
Time taken by the bus = 12 hours
Speed of the bus=
Distance
Time
=
840
12
= 70 kmph
Now
Speed of car=
4
7
th the speed of car =
4
7
x 70 = 40 kmph
Ratio of speed of car and motorbike= 5:7
Speed of car= 5x=40
Then speed of motorbike=7x=(7 x 8) =
56kmph
Distance covered by motorbike in 9 hours= (Speed
x Time)
= (56 x 6) = 336
13. A
person covers a distance of 72 km in 9 hours on a motorbike. How much distance
will the person cover on the car in 5
hours, if he drives the car at 4 times the speed of the motorbike?
a)120
km b)135 km
c)150 km d)160km
Answer :D
Explanation : Distance covered by the person on motorbike = 72 km and the time taken by him= 9 hours
Explanation : Distance covered by the person on motorbike = 72 km and the time taken by him= 9 hours
Therefore speed
of motorbike=
Distance
Time
=
72
9
= 8 kmph
He drives the car with 4 times the speed of
the motorbike
=> Speed of the car=
(4 x 8) =32 kmph
Distance covered by him by car in 5 hours =(Speed
X Time) = (32 x 5) =160km.
14. The average speed of a single stop train is 87
kmph. The train was scheduled to start at 9 a.m in Bangalore, and as per
schedule, it has to reach a destination of 348 km away from Bangalore at 1:45 p.m the same day, and a
halt was scheduled on the way. For how long was the halt scheduled?
a)
45 minutes b)1 hour c)90
minutes d)
2 hour 30 minutes
Answer : A
Explanation: Speed of train = 87 kmph and distance it covers is 348 km.
Time taken to
cover the distance without stop=
Distance
Speed
=
348
87
= 4 hours.
But the total time taken by train to reach the
destination is
= (1:45 pm – 9 a.m) =4 hours 45 minutes.
Hence, halt time = (Total time – take taken
without halt )
= (4 hours 45
minutes – 4 hours) = 45 minutes
15. Hritik
goes to his office by car at a speed of 40 kmph and reaches 8 minutes earlier.
If he goes at a speed of 30 kmph , he reaches 4 minutes late. What is the
distance from his house to the office?
a)80
km b)50 km c)20 km d)24km
Answer:D
Explanation:
Let his office time be 10 a.m. He
reaches his office at 8 minutes earlier when he travels at 40 kmph => He reaches at 9:52 a.m
He reaches his
office 4 minutes late when he travels at 30 kmph speed=> He reaches at 10.04
a.m
The time
difference is (10.04 – 9.52) = 12 minutes
Let the distance be D and time=
Distance
Speed
T1 – T2 = 12
minutes =
12
60
hours =
1
5
hours
(
D
30
–
D
40
) =
1/5
(4D-3D)
120
=
1
5
D= 24 km
16. Vehicle A covers a
certain distance in 5 hours at the speed of 58 kmph. What is the average speed
of another vehicle B, which travels a distance of 60 km more than the car in
the same time?
a)60
kmph b)70 kmph
c)85 kmph d)90
kmph
Answer: B
Explanation : Speed of vehicle
A = 58 kmph and
Time taken by Vehicle A =
5 hours
Distance travelled by Vehicle A in 5 hours
=> Distance= Speed x Time
D = (58 X 5) = 290 km
Now distance travelled by vehicle B
= (290+60)= 350 km
Hence the speed of vehicle B =
Distance travelled/Time taken
=
350
5
= 70 kmph
17. Ravi drives his car at a speed of 40 kmph and
reaches his destination in 5 hours, and Ram covers the same distance in 8
hours. If the speed of Ravi is increased by 10 kmph and the speed of Ram is
increased by 15 kmph, what would be the difference between the times taken by
them to cover the distance?
a)
1 hour b)2 hours c)45
minutes d)1.5 hours
Answer: A
Explanation: Distance covered
by Ravi at a speed of 40 kmph in 5 hours
ð Distance= Speed x
Time = (40 x 5)= 200 km
Ram covers same distance in 8
hours => Speed of Rama =
Distance
Time
=
200
8
= 25 kmph.
Ravi’s speed is increased by 10 kmph => New speed of Ravi = 40+10 =
50 kmph
Ram’s speed is increased by 15 kmph
=>New speed of Ram = 25+15 = 40 kmph.
Therefore,the time taken by Ravi to cover 200 km at 50 kmph =
200
50
= 4
hours
Time taken by Ram to cover 200
km at 40 kmph =
200
40
= 5 hours
Required time difference = (5 hours – 4 hours) = 1 hour
18. The average speed
of a car is 60 kmph, and the average speed of a truck is 25% more than that of a
car. What is the distance travelled by truck in 6 hours?
a)
350 km b)400
km c)450 km d)500 km
Answer :C
Explanation: Average speed of
the car is 60 kmph
The speed of the truck is 25% more
than the speed of the car.
Speed of truck =
125
100
x 60= 75 kmph
Distance travelled by truck in 6
hours = Speed of the truck x Time
=(75 x 6) = 450 km
19. The ratio of the speed
of a bus, motorbike, and car is 5: 9: 6. The speed of the motorbike is 150% the
speed of the car. The car can cover a distance of 480 km in 16 hours. What is the
average speed of the bus and motorbike together?
a)25
kmph b)35 kmph
c)40 kmph d)45 kmph
Answer : B
Explanation: Let the speed of
the bus, motorbike, and car are 5x, 9x, and 6x.
Speed of the car =
Distance travelled by
car
Time taken
=
480
16
= 30 kmph
Now speed of motorbike is 150% of car
=>
150
100
x 30 = 45 kmph
Speed of motorbike is 5x
= 45 =>x= 5 kmph
Speed of bus=5x =25kmph.
Hence, the average
speed of bus and motorbike =
Sum of the speeds
2
=
(25+45)
2
=35 kmph
20. A
person rides a motorbike at a speed of 75 kmph and covers his journey in 6
hours.By how much the speed must be increased if the same distance is to be
covered in 5 hours?
a)
15 kmph b)20 kmph c)25
kmph d)28 kmph
Answer : A
Explanation: Initial speed of
motorbike= 75 kmph and time taken to cover the distance=6 hours
Therefore , total distance covered = Speed
x Time = 75 x 6 =450 km
To cover the same distance of 450 km in 5
hours, speed must be =>
Distance
Time
=
450
5
= 90 kmph
Hence, increase in
speed = (90-75) = 15 kmph