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Arithmetic: Time Speed Distance Test-2

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Question 1
The length of a train and that of a platform are equal. If with a speed of 90 km/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
A
500
B
600
C
750
D
900
Question 1 Explanation: 
In 60 mins the train travels 90 Km.
In 1 minute the train travels 90/60 =1.5 Km.
Therefore the length of the train is (1.5 x 1000)/2 = 750 m.
Question 2
The train passes two bridges of lengths 600m and 200m in 80 seconds and 40 seconds respectively. The length of the train is :
A
80 m
B
90 m
C
200 m
D
150 m
Question 2 Explanation: 
Let the length of the train be l m.
(600 +l)/(200 +l) = 80/40
600 +l = 400 +2l
l = 200 m
Question 3
A 150 metre long train crosses a 500 metre long bridge in 30 seconds. What time will it take to cross a platform 370 metre long?
A
36 seconds
B
30 seconds
C
24 seconds
D
18 seconds
Question 3 Explanation: 
Total distance travelled is 500 + 150 = 650 m in 30 secs.
To cross a platform of 370 m, total distance to be travelled is = 370+150 = 520m.
Time required is  $ \displaystyle \frac{520}{\left( 650/30 \right)}$  = 24 secs.
Question 4
A train 300 metres long is running at a speed of 25 metres per second. It will cross a bridge of 200 metres in
A
5 seconds
B
10 seconds
C
20 seconds
D
25 seconds
Question 4 Explanation: 
Here we will remember one thing that on crossing the bridge the train travels its own length plus the length of the bridge. This means the total distance would be the total length = 300 + 200  = 500 m. Speed = 25m/ sec. Therefore the required time = 500 ÷ 25 = 20 seconds
Question 5
A train 800 metres long is running at the speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is
A
772
B
500
C
1300
D
13
Question 5 Explanation: 
First we will convert it in m/sec = 78 Km/hr = 78 x 5/18 = 13X5/3 m/s.
Length of the train = 800 m
Speed of the train = 78 km/h
Total distance travelled is = 13 x 5/3 x 60 =1300 m.
Length of the tunnel = 1300 – 800 = 500 m.
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