Model 5 Problems with Races Practice Questions Answers Test with Solutions & More Shortcuts
time & distance PRACTICE TEST [5 - 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
Question : 11 [SSC CGL Tier-I 2015]
Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?
a) 35 min.
b) 45 min.
c) 40 min.
d) 50 min.
Answer »Answer: (c)
2 hours 45 minutes
= $(2 + 45/60)$ hours
= $(2 + 3/4)$ hours = $11/4$ hours
Distance = Speed × Time
= 4 × $11/4$ = 11 km.
Time taken in covering 11 km at 16.5 kmph
= $11/{16.5}$ hour
= $({11 × 10 × 60}/165)$ minutes
= 40 minutes
Question : 12 [SSC CPO S.I.2007]
In a race of 200 metres, B can give a start of 10 metres to A, and C can give a start of 20 metres to B. The start that C can give to A, in the same race, is
a) 25 metres
b) 27 metres
c) 29 metres
d) 30 metres
Answer »Answer: (c)
According to the question,
Since, When B runs 200 m metres, A runs 190 metres
When B runs 180 metres, A runs
= $190/200 × 180$ = 171 metres
When C runs 200m, B runs 180 metres.
Hence, C will give a start to A by
= 200 - 171 = 29 metres
Question : 13 [SSC CPO S.I.2007]
In a race of 800 metres, A can beat B by 40 metres. In a race of 500 metres, B can beat C by 5 metres. In a race of 200 metres, A will beat C by
a) 1.19 metre
b) 1.27 metre
c) 12.7 metre
d) 11.9 metre
Answer »Answer: (d)
According to the question,
When A runs 800 metres, B runs 760 metres
When A runs 200 metres, B runs
= $760/800 × 200$ = 190 metres
Again, when B runs 500 metres, C runs 495 metres.
When B runs 190 metres, C runs
= $495/500 × 190$ = 188.1 metres
∴ Hence, A will beat C by
200 - 188.1 = 11.9 metres in a race of 200 metres.
Question : 14 [SSC SO 2006]
In a one-kilometre race A, B and C are the three participants. A can give B a start of 50 m. and C a start of 69 m. The start, which B can allow C is
a) 20 m.
b) 18 m.
c) 19 m.
d) 17 m.
Answer »Answer: (a)
Let the time taken to complete the race by A,B, and C be x minutes.
Speed of A = $1000/x$,
B = ${1000 - 50}/x = 950/x$
C = ${1000 - 69}/x = 931/x$
Now, time taken to complete the race by
B = $1000/{950/x} = {1000 × x}/950$
and distance travelled by C in
${1000x}/950$ min = ${1000x}/950 × 931/x$ = 980 km.
B can allow C
= 1000 - 980 = 20 m
Question : 15 [SSC CPO S.I.2008]
In a race of one kilometre, A gives B a start of 100 metres and still wins by 20 seconds. But if A gives B a start of 25 seconds, B wins by 50 metres. The time taken by A to run one kilometre is
a) $500/29$ seconds
b) $700/29$ seconds
c) $1200/29$ seconds
d) 17 seconds
Answer »Answer: (a)
Let A take x seconds in covering 1000m and b takes y seconds
According to the question,
x + 20 = $900/1000$ y
x + 20 = ${9y}/10$ ...(i)
and, $950/1000$ x + 25 = y ...(ii)
From equation (i),
${10x}/9 + 200/9 = y$
${10x}/9 + 200/9 = {950x}/1000 + 25$
${10x}/9 + 200/9 = {19x}/20 + 25$
${10x}/9 - {19x}/20 = 25 - 200/9$
${200x - 171x}/180 = {225 - 200}/9$
${29x}/180 = 25/9$
$x = 25/9 × 180/29 = 500/29$ seconds.
IMPORTANT quantitative aptitude EXERCISES
Model 5 Problems with Races Shortcuts »
Click to Read...Model 5 Problems with Races Online Quiz
Click to Start..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 …
quantitative aptitude CATEGORIES
RECENT BLOGS
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 »