20 Questions MCQ Test Quantitative Aptitude for Competitive Examinations - Time And Distance - MCQ 5
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Two trains are travelling towards each other. The distance between the trains initially is 400km. After some time they meet at a distance of 150 km from one end. Find the ratio of the speed of the trains.
Detailed Solution for Time And Distance - MCQ 5 - Question 2
At some tine T they meet each other so,
150/a = 250/b (a and b are the speeds of the train respectively)
So, a:b = 3:5
A thief steals a car at 3 pm and drives at 75 km/hr. He got discovered by the police at 4 pm Then the police start chasing him in another car travelling at 100km/hr. When will the policeman catch the thief?
Detailed Solution for Time And Distance - MCQ 5 - Question 3
In one hour thief will travel 75 km. Now let after x distance thief get caught, then
x/75 = (75+x)/100
u will get x = 225, so to travel 225 + 75 = 300 km by police, he will take 3 hours i.e at 7 pm
A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.
Detailed Solution for Time And Distance - MCQ 5 - Question 4
10 = 320/st + 480/sb and
8 = 240/st + 560/sb
st and sb are the speeds of train and bus respectively
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.
Detailed Solution for Time And Distance - MCQ 5 - Question 7
D = 20*3/2 = 30 km. So side of square is 15km, so area – 225km2
The distance between two cities P and Q is 300km. A train starts from station P at 10 am with speed 80 km/hr towards Q. Another train starts from Q towards P with speed 40km/hr at 11 am. At what time do they meet?
Detailed Solution for Time And Distance - MCQ 5 - Question 8
First train starts at 10am so in one hour it covers 80 km in one hour. Now distance b/w P and Q is 220. Suppose at some’ x’ km they meet. So,
x/80 = (220-x)/40
x = 440/3. The time after which they meet = (440/3)/80 = 11/6 i.e = 1hr 50 min.
Two guns were fired from the same place at an interval of 13 minutes but a person travelling in a train approaching the place hear the second sound after 12 minutes than the first. Find the speed of the train. Consider sound travels at a speed of 330 meter per sec.
Detailed Solution for Time And Distance - MCQ 5 - Question 10
Sound travels at 330m/sec. In one minute sound travel = 330*60 meter.
So speed of train = (330*60)/720 = 330/12 m/sec or 330/12 of 18/5 = 99 km/hr
Two stations P and Q are 400 km apart from each other. One train start from P at a speed of 60km/hr towards Q and after 2 hours another train starts from Q towards P at 45 km/hr. At what distance from P the train will meet.
Detailed Solution for Time And Distance - MCQ 5 - Question 15
First train will travel 120 km before the start of second train, Now the distance between them is 280km.
Now, x/60 = (280 – x)/45
We get x = 160 km, so distance from P = 120 + 160 = 280 km
Two stations A and B are 150 km apart from each other. One train starts from A at 6 AM at a speed of 30 km/hr and travels towards B. Another train starts from station B at 7 AM at a speed of 20 km/hr. At what time they will meet.
Detailed Solution for Time And Distance - MCQ 5 - Question 16
Distance travel by first train in one hour = 30, now the distance remains 120 km only.
x/30 = (120 – x)/20, so we get x = 72 km
Now, time = (30 + 72)/30 = 3hrs and 24minutes i.e. 9: 34 am
Two trains are moving in opposite direction having speed in the ratio 5:7. First train crosses a pole in 12 second and second train crosses the same pole n 15 second. Find the time in which they can cross each other completely.
Detailed Solution for Time And Distance - MCQ 5 - Question 20
Let the length of first train and second train be a and b meter. Then
a = 5x*12 = 60x and b = 7x*15 = 105x
They are moving in opposite direction, 165x = (12x)*T
T = 165/12 = 55/4 sec
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