Model 3 Problems on average speed 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) 8 km/hr
(b) 7.5 km/hr
(c) 7 km/hr
(d) 6$4/11$ km/hr
The correct answers to the above question in:
Answer: (c)
Time taken to cover 30km at 6 kmph
= $30/6$ = 5 hours
Time taken to cover 40 km = 5 hours
Average speed
= $\text"Total distance"/ \text"Total time"$
= ${30 + 40}/10 = 70/10 = 7$ kmph
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Read more problems on average speed Based Quantitative Aptitude Questions and Answers
Question : 1
A man covers the journey from a station A to station B at a uniform speed of 36 km/hr and returns to A with a uniform speed of 45 km/hr. His average speed for the whole journey is :
a) 41 km/hr
b) 42 km/hr
c) 40 km/hr
d) 40.5 km/hr
Answer »Answer: (c)
Using Rule 5,
Here same distances are covered at different speeds.
Average speed
= $({2xy}/{x + y})$ kmph
= $[{2 × 36 × 45}/({36 + 45})]$ kmph
= ${2 × 36 × 45}/81$ = 40 kmph
Question : 2
A car travels from A to B at the rate of 40 km/h and returns from B to A at the rate of 60 km/ h. Its average speed during the whole journey is
a) 45 km/h
b) 60 km/h
c) 48 km/h
d) 50 km/h
Answer »Answer: (c)
Here, distance is same.
Average speed = ${2xy}/{x + y}$
= $({2 × 40 × 60}/{40 + 60})$ kmph.
= $({2 × 40 × 60}/100)$ kmph.
= 48 kmph.
Question : 3
When Alisha goes by car at 50 kmph, she reaches her office 5 minutes late. But when she takes her motorbike, she reaches 3 minutes early. If her office is 25 kms away, what is the approximate average speed at which she rides her motorbike ?
a) 58 kmph
b) 52 kmph
c) 68 kmph
d) 62 kmph
Answer »Answer: (c)
Difference of time
= 5 + 3 = 8 minutes
= $8/60$ hour = $2/15$ hour
If the speed of motorbike be x kmph, then
$25/50 - 25/x = 2/15$
$25/x = 1/2 - 2/15$
$25/x = {15 - 4}/30 = 11/30$
11x = 25 × 30
$x = {25 × 30}/11 = 750/11$
= 68.18 kmph ≈ 68 kmph
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
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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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