# Time and distance

1.

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.     3.6    B.     7.2
C.     8.4    D.     10

Explanation:

Speed =         600     m/sec.
5 x 60

= 2 m/sec.

Converting m/sec to km/hr (see important formulas section)

=         2 x     18         km/hr
5

= 7.2 km/hr.

2.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
A.     300 kmph    B.     360 kmph
C.     600 kmph    D.     720 kmph

Explanation:

Distance = (240 x 5) = 1200 km.

Speed = Distance/Time

Speed = 1200/(5/3) km/hr.     [We can write 1 hours as 5/3 hours]

Required speed =         1200 x     3     km/hr     = 720 km/hr.
5

3.

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
A.     50 km    B.     56 km
C.     70 km    D.     80 km

Explanation:

Let the actual distance travelled be x km.

Then,     x     =     x + 20
10     14

14x = 10x + 200

4x = 200

x = 50 km.

4.

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
A.     100 kmph    B.     110 kmph
C.     120 kmph    D.     130 kmph

Explanation:

Let speed of the car be x kmph.

Then, speed of the train =     150     x     =         3     x     kmph.
100     2

75     –     75     =     125
x     (3/2)x     10 x 60

75     –     50     =     5
x     x     24

x =         25 x24         = 120 kmph.
5

5.

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.     9    B.     10
C.     12    D.     20