Model 5 Problems with Races 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) 35 km.
(b) 45 km.
(c) 40 km.
(d) 5 km.
The correct answers to the above question in:
Answer: (a)
Let the total distance be x km.
Time = $\text"Distance"/ \text"Speed"$
According to the question,
$10/6 + 20/16 + {x - 30}/3$
= 4$35/60 = 4{7}/12$
$5/3 + 5/4 + x/3 - 10 = 55/12$
$x/3 + 5/3 + 5/4 - 10 = 55/12$
$x/3 + ({20 + 15 - 120}/12) = 55/12$
$x/3 - 85/12 = 55/12$
$x/3 = 85/12 + 55/12 = 140/12$
$x = 140/12 × 3$ = 35 km.
Discuss Form
Read more problems on races Based Quantitative Aptitude Questions and Answers
Question : 1
Two persons ride towards each other from two places 55 km apart, one riding at 12km/hr and the other at 10 km/hr. In what time will they be 11 km apart?
a) 1 hour and 30 minutes
b) 2 hours and 45 minutes
c) 2 hours
d) 2 hours and 30 minutes
Answer »Answer: (c)
Relative speed
= 12 + 10 = 22 kmph
Distance covered
= 55 - 11 = 44 km
∴ Required time
= $(44/22)$ hours = 2 hours
Question : 2
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then A's speed is equal to:
a) 4 km/hr.
b) 7 km/hr.
c) 5 km/hr.
d) 3 km/hr.
Answer »Answer: (a)
Let, A's speed = x kmph.
B's speed = (7 - x) kmph
Time = $\text"Distance"/ \text"Speed"$
According to the question,
$24/x + 24/{7 - x} = 14$
$24({7 - x + x}/{x(7 - x)})$ = 14
${24 × 7}/{x(7 - x)}$ = 14
x (7 - x) = 12 = 4 × 3 or 3 × 4
x (7 - x) = 4 (7 - 4) or 3 (7 - 3)
x = 4 or 3
A's speed = 4 kmph.
Question : 3
In a race of 1000 m, A can beat B by 100m. In a race of 400 m, B beats C by 40m. In a race of 500m. A will beat C by
a) 50 m
b) 60 m
c) 45 m
d) 95 m
Answer »Answer: (d)
When A runs 1000m, B runs 900m.
When A runs 500m, B runs 450 m.
Again, when B runs 400m, C runs 360 m.
When B runs 450m, C runs
= $360/400 × 450$ = 405 metres
Required distance
= 500 - 405 = 95 metres
Question : 4
A jeep is chasing a car which is 5km ahead. Their respective speed are 90 km/hr and 75 km/ hr. After how many minutes will the jeep catch the car ?
a) 20 min.
b) 25 min.
c) 24 min.
d) 18 min.
Answer »Answer: (a)
Relative speed
= 95 - 75 = 15 kmph
Required time
= $\text"Distance"/ \text"Relative speed"$
= $5/15$ hours = $5/15 × 60$ minutes
= 20 minutes
Question : 5
A can give 40 metres start to B and 70 metres to C in a race of one kilometre How many metres start can B give to C in a race of one kilometre ?
a) 31$1/4$ metre
b) 32 metre
c) 31$3/4$ metre
d) 30 metre
Answer »Answer: (a)
According to the question,
When A covers 1000m, B covers
= 1000 - 40 = 960 m
and C covers =1000 - 70 = 930 m
When B covers 960m, C covers 930 m.
When B covers 1000m, C covers
= $930/960 × 1000$ = 968.75 metre
Hence, B gives C a start of
= 1000 - 968.75 = 31.25 metre
Question : 6
Walking at $3/4$ of his usual speed, a man reaches his office 20 minutes late. Then his usual time for walking to his office is :
a) 30 minutes
b) 40 minutes
c) 45 minutes
d) 1 hour
Answer »Answer: (d)
Usual time = x minutes
New time = ${4x}/3$ minutes
$(Since, \text"Speed ∞ "\text"1"/\text"Time")$
According to the question,
${4x}/3 - x = 20$
$x/3 = 20$
x = 60 minutes i.e. 1 hour.
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
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 »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »