Model 6 Change in speed Vs Change with time travel Practice Questions Answers Test with Solutions & More Shortcuts
trains PRACTICE TEST [6 - EXERCISES]
Model 1 Train Vs Train in same direction
Model 2 Train Vs Train in opposite direction
Model 3 Train Vs Bridge/Platform
Model 4 Train Vs Pole/Signal Post/Man
Model 5 Train Vs Both platform and a man/a pole
Model 6 Change in speed Vs Change with time travel
Question : 6 [SSC CHSL 2012]
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be :
a) 13 minutes 20 sec
b) 13 minutes
c) 11 minutes 20 sec
d) 10 minutes
Answer »Answer: (a)
Using Rule 1,
Speed of train = $\text"Distance"/\text"Time"$
= $10/{12/60}$ kmph
= ${10 × 60}/12 = 50$ kmph
New speed = 45 kmph
∴ Required time = $10/45$ hour
= $2/9 × 60$ minutes
= $40/3$ minutes or 13 minutes 20 seconds
Question : 7 [SSC CGL Tier-1 2011]
A student goes to school at the rate of 2$1/2$ km/h and reaches 6 minutes late. If he travels at the speed of 3 km/h. he is 10 minutes early. The distance (in km) between the school and his house is
a) 4
b) 3
c) 1
d) 5
Answer »Answer: (a)
Let the required distance be x km.
$x/{5/2} - x/3 = 16/60$
${2x}/5 - x/3 = 4/15$
${6x - 5x}/15 = 4/15 ⇒ x = 4$ km.
Using Rule 10,
Here, $S_1 = 2{1}/2 , t_1 = 6, S_2 = 3, t_2$ = 10
Distance = ${(S_1 × S_2)(t_1 + t_2)}/{S_2 - S_1}$
= ${5/2 × 3(6 + 10)}/{3 - 5/2}$
= $15 × 16/60$ km = 4 km
Question : 8 [SSC CGL Tier-1 2011]
Walking at 5 km/hr a student reaches his school from his house 15 minutes early and walking at 3 km/hr he is late by 9 minutes. What is the distance between his school and his house ?
a) 8 km
b) 3 km
c) 2 km
d) 5 km
Answer »Answer: (b)
Let the required distance be x km.
Then, $x/3 - x/5 = 24/60$
${5x - 3x}/15 = 2/5$
${2x}/3 = 2$ ⇒ 2x = 2 × 3
x = 3 km
Using Rule 10,
Here, $S_1 = 3, t_1 = 9, S_2 = 5, t_2$ = 15
Distance = ${(S_1 × S_2)(t_1 + t_2)}/{S_2 - S_1}$
= ${(3 × 5)(9 + 15)}/{5 - 3}$
= $15/2 × 24/60$ = 3 km
Question : 9 [SSC CGL Tier-II 2012]
A train covers a distance between station A and station B in 45 minutes. If the speed of the train is reduced by 5 km/hr, then the same distance is covered in 48 minutes. The distance between station A and B is
a) 64 km
b) 80 km
c) 55 km
d) 60 km
Answer »Answer: (d)
Using Rule 1,Distance = Speed × TimeSpeed = $\text"Distance"/\text"Time"$ , Time = $\text"Distance"/\text"Speed"$1 m/s = $18/5$ km/h, 1 km/h = $5/18$ m/s
Let the distance between stations be x km, then speed of train
= $x/{45/60} = {4x}/3$ kmph
$x/{{4x}/3 - 5} = 48/60$
${3x}/{4x - 15} = 4/5$
16x - 60 = 15x
x = 60 km
Question : 10 [SSC CGL Tier-I 2014]
If a train runs at 70 km/hour, it reaches its destination late by 12 minutes. But if it runs at 80 km/ hour, it is late by 3 minutes. The correct time to cover the journey is
a) 2 hours
b) 1 hour
c) 59 minutes
d) 58 minutes
Answer »Answer: (b)
Distance of journey = x km
Difference of time
= 12 - 3 = 9 minutes
= $9/60$ hour = $3/20$ hour
$x/70 - x/80 = 3/20$
$x/7 - x/8 = 3/2$
${8x - 7x}/56 = 3/2$
$x/56 = 3/2$
$x = 3/2 × 56$ = 84 km
∴ Required correct time
= $84/70$ hours - 12 minutes
= $(84/70 × 60 - 12)$ minutes
= 72 - 12 = 60 minutes
= 1 hour
IMPORTANT quantitative aptitude EXERCISES
-
Top 399+ Trains Based Time and Distance MCQs For BANK SSC »
-
New 500+ Aptitude Problems on Train For All BANK SSC Exam »
-
Top 499+ Aptitude MCQs on Trains Crossing Bridge/Platform »
-
New 500+ Aptitude MCQs on Train Crossing Pole/Post or Man »
-
Top 499+ Trains Problems Using Time and Distance For SSC »
-
Top 489+ Time And Distance MCQ Problems on Train For BANK »
Model 6 Change in speed Vs Change with time travel Shortcuts »
Click to Read...Model 6 Change in speed Vs Change with time travel Online Quiz
Click to Start..trains Shortcuts and Techniques with Examples
-
Model 1 Train Vs Train in same direction
Defination & Shortcuts … -
Model 2 Train Vs Train in opposite direction
Defination & Shortcuts … -
Model 3 Train Vs Bridge/Platform
Defination & Shortcuts … -
Model 4 Train Vs Pole/Signal Post/Man
Defination & Shortcuts … -
Model 5 Train Vs Both platform and a man/a pole
Defination & Shortcuts … -
Model 6 Change in speed Vs Change with time travel
Defination & Shortcuts …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »