## 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 Ã¨ 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 2/7

^{th}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

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

Ã° 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