Introduction
Speed and Time is one of important topic in Quantitative Aptitude Section. In Speed and Time Quiz 11 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Speed and Time Quiz 11 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.
Q1
The length of the bridge, on which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
- A. 200 m
B. 225 m
C. 245 m
D. 250 m
Let L is the length of Bridge
Speed of the train = 45 km/hr = [latex]45 × (\frac {5}{18})[/latex] m/s = 12.5 m/s
Time taken by train to travel (130 + L) meters at 12.5 m/s is 30 seconds.
[latex]\Rightarrow \frac {(130 + L)}{12.5} = 30[/latex]
[latex]\Rightarrow[/latex] (130 + L) = 12.5 × 30
[latex]\Rightarrow[/latex] 130 + L = 375
[latex]\Rightarrow[/latex] L = 245 meters
Q2
If the total distance of a journey is 120 km. If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey?
- A. 45 kmph
B. 50 kmph
C. 48 kmph
D. 55 kmph
For Forward Journey
Distance = 120 km
Speed = 60kmph
Time Taken = [latex]\frac {(Distance Travelled)} {(Speed)} = \frac {120}{60} = 2[/latex] hrs
For Backward Journey
Distance = 120 km
Speed = 40kmph
Time Taken = [latex]\frac {(Distance Travelled)}{(Speed)} = \frac {120}{40}[/latex] = 3 hrs
Total Distance = 120 + 120 = 240
Total Time taken = 3 + 2 = 5
Avg. Speed = [latex]\frac {(Total Distance Travelled)}{ (Total Time)}[/latex]
Avg. Speed = [latex]\frac {240}{5}[/latex] = 48 kmph
Q3
An aeroplane flies twice faster than a train which covers 60 miles in 80 minutes. What distance will the aeroplane cover in 20 minutes?
- A. 30 miles
B. 40 miles
C. 50 miles
D. 60 miles
Since train covers 60 miles in 80 minutes,
The distance covered by train in 20 minutes = [latex](\frac {20}{80}) × 60[/latex]
= 15 miles
Now we know that speed of aeroplane is 2 times the speed of the train
Hence, it will cover twice the distance as covered by the train
= 2 × 15
= 30 miles
Q4
A train 50 metres long passes a platform 100 metres long in 10 seconds. The speed of the train is:
- A. 10 km/hr
B. 54 km/hr
C. 100 km/hr
D. 15 km/hr
We have the total distance covered by the train = length of the platform + length of the train
= 100 + 50 metres
= 150 metres
Total time taken = 10 sec
Using the formula
[latex] Speed = \frac {distance}{time} [/latex]
Speed of the train = [latex]\frac {150}{10}[/latex] m/s
= 15 metres/sec
= [latex] 15 × (\frac {18}{5})[/latex] = 54 km/hr
Q5
Rajdhani Express travels at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
- A. 6 hrs 21 min
B. 6 hrs 42 min
C. 6 hrs 18 min
D. 6 hrs 36 min
Since, Rajdhani Exp. Travels at 100 km/hr,
Time taken by it to cover 600 km = distance/speed
= [latex] \frac {600}{100}[/latex]
= 6 hours
Also,
Since it takes break after every 75 km, number of breaks taken = 600/75 – 1
= 8 – 1
= 7
We subtracted one because after reaching at 600 km, it won’t take a break
Hence total time spent in breaks = 3 × 7
= 21 minutes
Total time = 6 hours and 21 minutes