# Speed, Time and Distance

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Speed Time and Distance:

• Speed = Distance/Time , Time = Distance/Speed, Distance = Speed * Time
• x km/hr = (x* 5/18) m/sec
• x m/sec = (x* 18/5) km/hr
• If the ratio of the speeds of A and is a:b, then the ratio of the time taken by them to cover the same distance is 1/a : 1/b or b:a
• Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is (2xy/(x+y)) km/hr

# Aptitude Questions (Speed Time and Distance):

1. An athlete runs 200 mtrs race in 24 seconds. His speed is:

A)    40km/hr

B)    34 km/hr

C)    28 km/hr

D)    30 km/hr

E)    None of these

Explanation:

Speed = (200/24) m/sec = 25/3 m/sec = (25/3*18/5 ) km/hr = 30 km/hr

2. A man walking at the rate of 5km/hr crosses a bridge in 18 minutes. The length of the bridge (in metres) is:

A)    600

B)    750

C)    1500

D)    1250

E)    None of these

Explanation:

Speed = (5*5/18 ) m/sec = (25/18) m/sec
Distance covered in 15 minutes = ((25/18)*18*60)) m = 1500m.

3. A car is running at a speed of 126km/hr. What distance will it cover in 20 seconds?

A)    450 metres

B)    550 metres

C)    700 metres

D)    300 metres

E)    None of these

Explanation:

Speed = 126 kmph = (126*5/18 ) m/sec = 35 m/sec
∴ Distance covered in 20 sec = (35 * 20)m = 700m.

4. A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is:

A)    3:4

B)    4:3

C)    3:5

D)    50:3

E)    None of these

Explanation:

Ratio of speeds = (550/6)*(18/5 ) : (33/45)*60  = 33 : 44 = 3 : 4

5. An airplane covers a distance at a speed of 250 kmph in 5 hours. To cover the same distance in 1(2/3) hours, it must travel at a speed of:

A)    300 kmph

B)    360 kmph

C)    600 kmph

D)    750 kmph

E)    None of these

Explanation:

Distance = (250 * 5) km = 1250 km
∴ Required speed = (1250*3/5 ) km/hr = 750 km/hr