Model 1 Basic Time & Distance using formula Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 5 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on time & distance topic of quantitative aptitude

Questions : A train covers a certain distance in 210 minutes at a speed of 60 kmph. The time taken by the train, to cover the same distance at a speed of 80 kmph is :

(a) 3 hours

(b) 4$5/8$ hours

(c) 2$5/8$ hours

(d) 3$5/8$ hours

The correct answers to the above question in:

Answer: (b)

Speed of train = 60 kmph

Time = 210 minutes

= $210/60$ hours or $7/2$ hours

Distance covered

= $60 × 7/2$ = 210 km

Time taken at 80 kmph

= $210/80 = 21/8$ hours

= 2$5/8$ hours

Using Rule 9,

Here, $S_1 = 60, t_1 = 210/60 hrs, S_2 = 80, t_2$ = ?

$S_1t_1 = S_2t_2$

60 × $210/60 = 80 × t_2$

$t_2 = 21/8$ hrs = 2$5/8$ hrs

Read more questions on time and distance of basic problems formulas Click Here »

Practice time & distance (Model 1 Basic Time & Distance using formula) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more basic problems formulas Based Quantitative Aptitude Questions and Answers

Question : 1

An athlete runs 200 metres race in 24 seconds. His speed (in km/ hr) is :

a) 30

b) 28.5

c) 24

d) 20

Answer: (a)

Using Rule 1,

Speed = $\text"Distance"/\text"Time"$

= $200/24$ m/s

$200/24$ m/s = $200/24 × 18/5$

= 30 km/h [Since, x m/s = $18/5$ x km/h]

Question : 2

A car driver leaves Bangalore at 8.30 A.M. and expects to reach a place 300 km from Bangalore at 12.30 P.M. At 10.30 he finds that he has covered only 40% of the distance. By how much he has to increase the speed of the car in order to keep up his schedule?

a) 30 km/hr

b) 35 km/hr

c) 40 km/hr

d) 45 km/hr

Answer: (a)

Distance covered by car in2hours

=${300 × 40}/100$ = 120km

Remaining distance

= 300 - 120 = 180 km

Remaining time= 4 - 2= 2 hours

Required speed

=$180/2$= 90kmph

Original speed of car

=$120/2$= 60kmph

Required increase in speed

= 90 - 60 = 30 kmph

Question : 3

A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/ hr. If he takes 5 hours in going and coming, the distance between his house and school is :

a) 6.5 km

b) 5.5 km

c) 5 km

d) 6 km

Answer: (d)

Let the required distance be x km. Then,

$x/3 + x/2$ = 5

${2x + 3x}/6$ = 5

5x = 6 × 5

x = ${6 × 5}/5$ = 6 km

Using Rule 5,

Here, x = 3, y = 2

Average Speed = ${2 × x × y}/{x + y}$

= ${2 × 3 × 2}/{3 + 2} = 12/5$ km/hr

Total distance = $12/5 × 5$ = 12km

Required distance = $12/2$ = 6 km

Question : 4

Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find the distance.

a) 9 km

b) 6 km

c) 7 km

d) 8 km

Answer: (c)

If the required distance be x km, then

$x/3 - x/4 = 1/2$

${4x - 3x}/12 = 1/2$

$x/12 = 1/2$ ⇒ x = 6 km

Using Rule 9,

Here $S_1 = 4, t_1 = x, S_2 = 3, t_2 = x + 1/2$

$S_1t_1 = S_2t_2$

$4 × x = 3(x + 1/2)$

$4x - 3x = 3/2 x = 3/2$

Distance= $4 × 3/2$ = 6 kms

Question : 5

A man riding his bicycle covers 150 metres in 25 seconds. What is his speed in km per hour ?

a) 20

b) 23

c) 21.6

d) 25

Answer: (b)

Using Rule 1,

Speed = $150/25$ = 6 m/sec

= $6 × 18/5 = 108/5$ = 21.6 kmph

Question : 6

A train starts from a place A at 6 a.m. and arrives at another place B at 4.30 p.m. on the same day. If the speed of the train is 40 km per hour, find the distance travelled by the train ?

a) 400 km

b) 320 km

c) 230 km

d) 420 km

Answer: (d)

Using Rule 1,

Time = 10$1/2$ hours = $21/2$ hours

Speed = 40 kmph

Distance = Speed × Time

= $40 × 21/2$ = 420 km

Need More Mcqs on time & distance of Model 1 Basic Time & Distance using formula Click Here »
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
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

Free Antonyms (English) MCQ Test for SSC STENO 2024 Exam

Top Antonyms General English Section-based multiple choice questions and answers, Free Full Test Series & Online Quiz PDF for SSC Steno Grade C & D 2024 Exam

24-Apr-2024 by Careericons

Continue Reading »

Free Ratio & Proportion MCQ Test for SSC STENO 2024 Exam

Top Ratio and Proportion Aptitude-based multiple choice questions and answers practice test series, Online MCQ Quiz PDF for SSC Steno (Grade C & D) 2024 Exam

23-Apr-2024 by Careericons

Continue Reading »

Free Synonyms (English) MCQ Test for SSC STENO 2024 Exam

Top Synonyms General English Section-based multiple choice questions and answers, Free Full Test Series & Online Quiz PDF for SSC Steno Grade C & D 2024 Exam

22-Apr-2024 by Careericons

Continue Reading »

Free Surds and Indices MCQ Test PDF | SSC Steno 2024 Exam

Free Power, Indices and Surds Aptitude-based multiple choice questions and answers practice test & Online MCQ Quiz PDF for SSC Steno (Grade C & D) 2024 Exam

20-Apr-2024 by Careericons

Continue Reading »