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Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 99 hours and 1616 hours respectively. The ratio of their speeds is
2:3
2:1
3:2
4:3
Answer with explanation
Answer: Option DExplanation
Required Ratio =√16:√9=4:3
Workspace
When a train travels from Delhi to Mumbai at the rate of 120km/hr and returns back at the rate of 180km/hr then what is the average speed of the train?
144km/hr
154km/hr
160km/hr
170km/hr
Answer with explanation
Answer: Option AExplanation
Average Speed=2*120*180/(120+180)=144km/hr
Workspace
250 meters
260 meters
280 meters
270 meters
Answer with explanation
Answer: Option DExplanation
First, convert speed from km/hr to m/sec
So, Speed = 72*(5/18) = 20 m/sec
Time = 26 seconds
Let the length of the train be x meters.
We know, Distance = Speed*Time.
[you can remember this formula as remembering DUST = D*ST… Distance=Speed*Time]
x+250 = 20*26
=> x = 270 meters
So length of the goods train is 270 meter
Workspace
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
48sec
36sec
55sec
47sec
Answer with explanation
Answer: Option AExplanation
Workspace
A train travels a distance of 30 km at a constant speed. If the rate of a train is increased by 5 km per hour, the journey would have taken 2 hours less. Find the original speed of the train?
25km/hr
22 km/h
26 km/hr
27 km/hr
Answer with explanation
Answer: Option AExplanation
Workspace
45m
50m
55m
60m
Answer with explanation
Answer: Option BExplanation
First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec
Let the length of the train is x meter and speed is y m/sec
then,
So the length of the train is 50 meter.
Workspace
Two trains moving in same direction run at a speed of 60 km/hr and 40 km/hr respectively. If a man sitting in slow train is passed by the fast train in 10 seconds, then what is the length of the faster train?
53.2 m
55.6 m
150 m
200 m
Answer with explanation
Answer: Option BExplanation
Workspace
A man sitting on a train which is traveling at 50 mph observes that goods train, traveling in the opposite direction, takes 9 seconds to pass him. If the goods trains are 280 m long, find its speed.
47kmph
45kmph
56kmph
62kmph
Answer with explanation
Answer: Option DExplanation
Workspace
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?
170m
100 m
320 m
270 m
Answer with explanation
Answer: Option CExplanation
Relative speed = (72 – 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.
The length of the faster train = 320 m.
Workspace
How many seconds will a 500500 metre long train moving with a speed of 6363 km/hr, take to cross a man walking with a speed of 33 km/hr in the direction of the train ?
42
56
28
30
Answer with explanation
Answer: Option DExplanation
Distance =500=500 metre
Relative speed =(63−3)=60=(63−3)=60 km/hr
=60×518=503=60×518=503 m/s
Time taken =500(503)=30 seconds
Workspace
wo trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are sunning the same direction?
72 sec
132 sec
192 sec
252 sec
Answer with explanation
Answer: Option DExplanation


Total distance covered = Sum of lengths of trains = 350 m.  

Workspace
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
200m
225 m
245 m
250 m
Answer with explanation
Answer: Option CExplanation


Let the length of bridge be x meters.  

Workspace
A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another trainY starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at:
4.36 p.m.
4.42 p.m.
4.48 p.m.
4.50 p.m.
Answer with explanation
Answer: Option AExplanation
Suppose, the distance between Meerut and Ghaziabad is x km.  
Time taken by X to cover x km = 1 hour.  




Let them meet y hours after 4 p.m. Then,  


So, the two trains meet at 4.36 p.m.  
Workspace
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one
12 sec
24 sec
48 sec
60 sec
Answer with explanation
Answer: Option CExplanation


Distance covered = (500 + 500) m = 1000 m.  

Workspace
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