Time and Distance

Time and Distance

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Question 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
Question 1 Explanation: 
Speed = 600/(5 x 60)m/sec. = 2 m/sec. Converting m/sec to km/hr = 2 x(18/5) km/hr = 7.2 km/hr.
Question 2
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/2 hours, it must travel at a speed of ?
A
300 kmph
B
360 kmph
C
600 kmph
D
720 kmph
Question 2 Explanation: 
Distance = (240 x 5) = 1200 km. Speed = Distance/Time Speed = 1200/(5/3) km/hr. Required speed =1200 x(3/5) km/hr = 720 km/hr.
Question 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
Question 3 Explanation: 
Let the actual distance travelled be x km. Then, x/10 =(x + 20)/14 =>14x = 10x + 200 => 4x = 200 => x = 50 km.
Question 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
Question 4 Explanation: 
Let speed of the car be x kmph. Then, speed of the train =(150/100)x =3/2 x kmph. =>75/x - 75/(3/2)x = 125/(10 x 60) =>75/x - 50/x= 5/24 => x = (25 x24/5)= 120 kmph.
Question 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
Question 5 Explanation: 
Due to stoppages, it covers 9 km less. Time taken to cover 9 km =(9/54)x 60min = 10 min.
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