Model 2 Vehicles in x/y of its usual speed 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 : 1 [SSC CGL Tier-I 2016]
A car covers a certain distance in 25 hours. If it reduces the speed by $1/5$th, the car covers 200 km. less in that time. The speed of car is
a) 50 km./hr.
b) 40 km./hr.
c) 30 km./hr.
d) 60 km./hr.
Answer »Answer: (b)
Speed of car = x kmph.
Distance = Speed × Time = 25x km.
Case II,
Speed of car = ${4x}/5$ kmph.
Distance covered
= ${4x}/5 × 25$ = 20x km.
According to the question,
25x - 20x = 200
5x = 200
x = $200/5$ = 40 kmph.
Question : 2 [SSC CGL Tier-II 2015]
A car covers four successive 7 km distances at speeds of 10 km/hour, 20 km/hour, 30 km/ hour and 60 km/hour respectively. Its average speed over this distance is
a) 40 km/hour
b) 60 km/hour
c) 20 km/hour
d) 30 km/hour
Answer »Answer: (c)
Total distance
= 7 × 4 = 28 km.
Total time
= $(7/10 + 7/20 + 7/30 + 7/60)$ hours
= $({42 + 21 + 14 + 7}/60)$ hours
= $84/60$ hours = $7/5$ hours
Average speed
= $\text"Total distance"/ \text"Total time" = (28/{7/5})$ kmph
= ${28 × 5}/7$ = 20 kmph
Question : 3 [SSC CGL Tier-1 2011]
Walking at $3/4$ of his usual speed, a man is 1$1/2$ hours late. His usual time to cover the same distance, (in hours) is
a) 5
b) 5$1/2$
c) 4
d) 4$1/2$
Answer »Answer: (d)
Time and speed are inversely proportional.
$4/3$ of usual time –usual time = $3/2$
$1/3$ usual time = $3/2$
Usual time = ${3 × 3}/2$
$9/2 = 4{1}/2$ hours
Using Rule 8,
Here, A = 3, B = 4, t= $3/2$
Usual time = $\text"A"/\text"Diff of A and B"$ × time
= $3/{(4 - 3)} × 3/2 = 4{1}/2$ hrs.
Question : 4 [SSC CHSL 2015]
A car goes 20 metres in a second. Find its speed in km/hr.
a) 20
b) 36
c) 72
d) 18
Answer »Answer: (c)
1 m/sec = $18/5$ kmph
20 m/sec = ${20 × 18}/5$
= 72 kmph
Question : 5 [SSC CGL Prelim 2005]
A car travelling with $5/7$ of its usual speed covers 42 km in 1 hour 40 min 48 sec. What is the usual speed of the car?
a) 30 km/hr
b) 25 km/hr
c) 35 km/hr
d) 17$6/7$ km/hr
Answer »Answer: (c)
1 hr 40 min 48 sec
= 1 hr $(40 + 48/60)$ min
= 1 hr $(40 + 4/5)$ min
= 1 hr $204/5$ min
= $(1 + 204/300)$ hr = $504/300$ hr
Speed = $42/{504/300}$ = 25 kmph
Now, $5/7$ usual speed = 25
Usual speed = ${25 × 7}/5$ = 35 kmph
IMPORTANT quantitative aptitude EXERCISES
Model 2 Vehicles in x/y of its usual speed Shortcuts »
Click to Read...Model 2 Vehicles in x/y of its usual speed 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 …
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