Model 3 Problems on average 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 : 26 [SSC CGL Prelim 1999]
A person travels 600 km by train at 80km/hr, 800 km by ship at 40 km/hr 500 km by aeroplane at 400 km/hr and 100 km by car at 50km/hr. What is the average speed for the entire distance ?
a) 60$5/123$ km/hr
b) 62 km/hr
c) 65$5/123$ km/hr
d) 60 km/hr
Answer »Answer: (c)
Using Rule 3,
Total time
= $600/80 + 800/40 + 500/400 + 100/50$
= $246/8$ hours.
Average speed
= ${600 + 800 + 500 +100}/{246/8}$
= ${2000 × 8}/246 = 65{5}/123$ km/hr.
Question : 27 [SSC CHSL (10+2) Tier-I 2017]
To cover a distance of 216 km in 3.2 hours, what should be the average speed of the car in metre/second?
a) 37.5 metre/second
b) 18.75 metre/second
c) 67.5 metre/second
d) 33.75 metre/second
Answer »Answer: (b)
Required speed of car
= $\text"Distance"/ \text"Time"$
= $(216/{3.2})$ kmph.
= $(216/{3.2} × 5/18)$ m./sec.
= 18.75 m./sec.
Question : 28 [SSC CHSL 2014]
A train runs from Howrah to Bandel at an average speed of 20 km/ hr and returns at an average speed of 30 km/hr. The average speed (in km/hr) of the train in the whole journey is
a) 24
b) 25
c) 20
d) 22.5
Answer »Answer: (a)
Using Rule 5,
Average speed = ${2xy}/{x + y}$ kmph
= ${2 × 20 × 30}/{20 + 30}$
= ${2 × 20 × 30}/50$ = 24 kmph
Question : 29 [SSC CGL Tier-I 2016]
A man travels 50 km at speed 25 km/h and next 40 km at 20 km/ h and there after travels 90 km at 15 km/h. His average speed is :
a) 20 kmph.
b) 15 kmph.
c) 18 kmph.
d) 25 kmph.
Answer »Answer: (c)
Total distance covered
= (50 + 40 + 90) km = 180 km
Time = $\text"Distance"/ \text"Speed"$
Total time taken
= $(50/25 + 40/20 + 90/15)$ hours
= (2 + 2 + 6) hours = 10 hours
∴ Average speed
= $\text"Total distance"/ \text"Total time taken"$
= $180/10$ = 18 kmph
Question : 30 [SSC CGL Tier-I 2016]
Gautam travels 160 kms at 32 kmph and returns at 40 kmph. Then his average speed is
a) 36 kmph
b) 35.55 kmph
c) 72 kmph
d) 71.11 kmph
Answer »Answer: (b)
Here, distances are equal.
Average speed = $({2xy}/{x + y})$ kmph.
= $({2 × 32 × 40}/{32 + 40})$ kmph.
= $({2 × 32 × 40}/72)$ kmph.
= $(320/9)$ kmph. = 35.55 kmph.
IMPORTANT quantitative aptitude EXERCISES
Model 3 Problems on average speed Shortcuts »
Click to Read...Model 3 Problems on average 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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