Model 4 Time & Distance with Ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 5 EXERCISES
The following question based on time & distance topic of quantitative aptitude
(a) 3 : 2
(b) 4 : 3
(c) 5 : 4
(d) 2 : 1
The correct answers to the above question in:
Answer: (a)
Using Rule 11,Time taken by 1st man to reach B after meeting 2nd man at C is '$t_1$' and time taken by 2nd man to reach A after meeting 1st man at C is '$t_2$' then:${\text"Speed of 1st man"(s_1)}/{\text"Speed of 2nd man"(s_2)} = √{t_2/t_1}$Distance from A to B = $s_1t_1 + S_2t_2$
Required ratio of the speed of two trains
= $√{9}/√{4} = 3/2$ or 3 : 2
Discuss Form
Read more problems with ratios Based Quantitative Aptitude Questions and Answers
Question : 1
A car travels 80 km. in 2 hours and a train travels 180 km. in 3 hours. The ratio of the speed of the car to that of the train is :
a) 3 : 2
b) 3 : 4
c) 4 : 3
d) 2 : 3
Answer »Answer: (d)
Speed = $\text"Distance"/ \text"Time"$
∴ Speed of car : Speed of train
= $80/2 : 180/3$ = 40 : 60 = 2 : 3
Question : 2
It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is
a) 3 : 2
b) 3 : 4
c) 4 : 3
d) 2 : 3
Answer »Answer: (b)
Using Rule 1,
Speed of train = x kmph
Speed of car = y kmph
Case I,
$120/x + {600 - 120}/y$ = 8
$120/x + 480/y$ = 8
$15/x + 60/y$ = 1 ...(i)
Case II,
$200/x + 400/y$ = 8 hours 20 minutes
$200/x + 400/y = 8{1}/3$ hours = $25/3$
$8/x + 16/y = 1/3$
$24/x + 48/y$ = 1 ...(ii)
$15/x + 60/y = 24/x + 48/y$
$24/x - 15/x = 60/y - 48/y$
$9/x = 12/y$
$x/y = 9/12 = 3/4$ = 3 : 4
Question : 3
The speeds of three cars are in the ratio of 1 : 3 : 5. The ratio among the time taken by these cars to travel the same distance is
a) 15 : 3 : 5
b) 15 : 5 : 3
c) 5 : 3 : 1
d) 3 : 5 : 15
Answer »Answer: (d)
Speed ∝ $1/\text"Time"$
Required ratio of time
= $1 : 1/3 : 1/5$
= 15 : $1/3 × 15 : 1/5 × 15$
= 15 : 5 : 3
Question : 4
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is :
a) 3 : 4
b) 4 : 3
c) 4 : 5
d) 3 : 5
Answer »Answer: (a)
Let the speed of train be x kmph. and the speed of car be y kmph.
Time = $\text"Distance"/ \text"Speed"$
According to the question,
$120/x + 480/y$ = 8
$15/x + 60/y$ = 1 ...(i)
and, $200/x + 400/y = 25/3$
$8/x + 16/y = 1/3$
$24/x + 48/y$ = 1 ...(ii)
From equations (i) and (ii),
$24/x + 48/y = 15/x + 60/y$
$24/x - 15/x = 60/y - 48/y$
$9/x = 12/y$
$x/y = 9/12 = 3/4$ = 3 : 4
Question : 5
The ratio of length of two trains is 5 : 3 and the ratio of their speed is 6 : 5. The ratio of time taken by them to cross a pole is
a) 11 : 8
b) 25 : 18
c) 27 : 16
d) 5 : 6
Answer »Answer: (b)
Required ratio
= $5/6 : 3/5$
${30 × 5}/6 : {30 × 3}/5$ = 25 : 18
Question : 6
The speed of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination ?
a) 2 hours
b) 2$2/3$ hours
c) 1$2/3$ hours
d) 1$1/3$ hours
Answer »Answer: (d)
Ratio of speed = 3 : 4
Ratio of time taken = 4 : 3
Let the time taken by A and B be 4x hours and 3 x hours respectively.
Then, $4x - 3x = 20/60 ⇒ x = 1/3$
Time taken by A = 4x hours
= $(4 × 1/3)$ hours = 1$1/3$ hours
Using Rule 9,
Here, $S_1 = 3x, S_2 = 4x$
$t_2 = y, t_1 = y + 20/60 = y + 1/3$
$S_1t_1 = S_2t_2$
$3x(y + 1/3) = 4xy$
3y + 1 = 4y, y = 1
∴ Time taken by A
= 1 + $1/3 = 1{1}/3$ hours
GET time & distance PRACTICE TEST EXERCISES
Model 1 Basic Time & Distance using formula
Model 2 Vehicles in x/y of its usual speed
Model 3 Problems on average speed
Model 4 Time & Distance with Ratios
Model 5 Problems with Races
time & distance Shortcuts and Techniques with Examples
-
Model 1 Basic Time & Distance using formula
Defination & Shortcuts … -
Model 2 Vehicles in x/y of its usual speed
Defination & Shortcuts … -
Model 3 Problems on average speed
Defination & Shortcuts … -
Model 4 Time & Distance with Ratios
Defination & Shortcuts … -
Model 5 Problems with Races
Defination & Shortcuts …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »