# Aptitude Questions with Answers - Time and Distance Solved Problems 1

##
__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 :**Given distance D= 900 meters and Time= 180 seconds

Speed =

Distance
Time

=
900
180

= 5 m/s.
But speed is asked in kmph , to
convert 5 mps to 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 it can cover in
18 seconds?

a)100m b)200m
c)270m
d)150m

**Answer : C**

**Explanation**: Given speed is in kmph but time is in seconds. So we need to convert 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 motor bike can cover a distance of 270 km in 5 hours. What is
its speed in m/s ?

a) 12.5 kmph b)13.3 kmph c)15 kmph d)20
kmph

**Answer : C**

**Explanation :**Distance is 270 km and time is 5 hours.

Speed =

Distance
Speed

=
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 kmph
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 car and reaches his school from his house in 20 minutes. What is the
distance between school and house? a)
3 km b)4 km c)5km d)6km

**Answer : C**

**Explanation:**Speed of car = 60 kmph.

Boy runs at one fourth the speed of car รจ
Speed of boy = ¼ x 60 kmph = 15 kmph

Time
taken by 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 the speed of 6 kmph
and returns with the speed of 8 kmph on his bicycle. What is his average speed
of whole journey?

a)
6.8 kmph b)7.5 kmph c)5.5 kmph d)8
kmph

**Answer: A**

**Explanation:**If a person covers two equal distances with the speed of 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

= 6.8 kmph approximately
7. A car covers first half distance with the speed of 50 kmph and
second half distance with speed of 40 kmph. It takes 9 hours to cover total
distance. What is the distance covered in 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.

Average speed of the journey =

2xy
x+y

=

2 x 50 x 40
50+40

=
400
9

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
Speed

=
100
20

= 5 hours
Time taken by car to cover next 210 km =

Distance
Speed

=
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 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. A girl travels wit the speed $\frac{2}{7}$ of her original speed, she
reaches her school 25 minutes late, then
time taken by her with her original
speed is

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.
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
$\frac{3}{7}$

^{th}of his journey at 30 kmph and remaining $\frac{4}{7}$^{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 : C**

**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

4
7

^{th}of journey = 210 x
4
7

= 120 km
He covered 120km at 40 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 or a motorbike is 5:7. Also
a bus covered a distance of 840km in 12 hours. The speed of the car is 4/7

^{th}the speeds 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 and time= 12 hours

Speed of 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=7x8 =
56kmph

Distance covered by motorbike in 9 hours

= Speed x Time

= Speed x Time

= 56 x 6 = 336

13. A person covers a distance of 72 km in 9 hours on motorbike. How
much distance will the person cover on 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 person on motorbike = 72 km and 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 x5 =160km.

14. The average speed of a
single stop train is 87 kmph. The train was scheduled to start at 9 a.m in
bengalore, and as per schedule it has to
reach a destination of 348 km away from
bengalore at 1:45 p.m 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=

Distance
Speed

= 348/87= 4 hours.
But total time taken by train to reach
destination is = 1:45 pm – 9 a.m =4 hours 45 minutes.

Time of halt = 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 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 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 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 8 hours at the speed of 63 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

=
58 x 5 =290
Now distance travelled by vehicle
B = 290+60= 350 km

Hence 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 speed of Ravi is increased by 10 kmph and 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

รฐ 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 speed is increased by 10 kmph => New
speed of Ravi = 40+10 = 50 kmph

Ram speed is increased by 15 kmph =>New speed of Ram = 25+15 = 40 kmph.

Therefore, 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. Average speed of a
car is 60 kmph and the average speed of a truck is 25% more than that of 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 car is 60 kmph

Speed of truck is 25% more than
the speed of car.

Speed of truck =

125
100

x 60= 75 kmph
Distance travelled by truck in 6
hours = Speed of truck x Time

=75
x 6 = 450 km

19. The ratio of 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
average speed of bus and motorbike together?

a)25 kmph b)35
kmph c)40 kmph d)45 kmph

**Answer :B**

**Explanation:**Let speed of bus , motorbike and car are 5x, 9x and 6x.

Speed of the car =

Distance Travelled
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,
average speed of bus and motorbike =

Sum of speeds
2

=
(25+45)
2

=35 kmph
20. A person rides a motor bike at a speed of 75 kmph and covers his
journey in 6 hours.By how much the speed will to have increase 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 :**Intial 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 =>

$\frac{Distance}{Time}$ = $\frac{450}{5}$= 90 kmph

Hence,
increase in speed = 90-75 = 15 kmph