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) 20 kmph.
(b) 15 kmph.
(c) 18 kmph.
(d) 25 kmph.
The correct answers to the above question in:
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
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Read more problems on average speed Based Quantitative Aptitude Questions and Answers
Question : 1
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.
Question : 2
A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/ hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be
a) 15$1/8$ km/hr
b) 20 km/hr
c) 12$1/2$ km/hr
d) 13 km/hr
Answer »Answer: (c)
Distance covered in first 2 hours
= 2 × 20 = 40 km.
Remaining distance
= 100 - 40 = 60 km.
Time taken in covering 60 km at 10 kmph
= $60/10$ = 6 hours
∴ Required average speed
= $\text"Total distance"/ \text"Total Time"$
= $(100/{2+6})$ kmph = $(100/8)$ kmph
= $25/2$ kmph = 12$1/2$ kmph
Question : 3
A boy rides his bicycle 10km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :
a) 11.0 km/hr
b) 12.2 km/hr
c) 10.4 km/hr
d) 10.8 km/hr
Answer »Answer: (d)
Total distance = 10 + 12 = 22 km
Total time = $10/12 + 12/10 = 244/120$ hours
Required average speed
= $\text"Total distance"/ \text"Total time"$
= $22/{244/120} = 22/244 × 120$ = 10.8 km/hr.
Using Rule 3,If a man travels different distances $d_1,d_2,d_3$, and so on with different speeds $s_1,s_2,s_3$, respectively then,Average speed = $({d_1 + d_2 + d_3 + ...})/{d_1/S_1 + d_2/S_2 + d_3/S_3 + ...}$
Here, $d_1 = 10, S_1 = 12, d_2 = 12, S_2$ = 10
Average Speed = ${d_1 + d_2}/{d_1/S_1 + d_2/S_2}$
= ${10 + 12}/{10/12 + 12/10} = {22 × 120}/244$ = 10.8 km/hrs.
Question : 4
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 : 5
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 : 6
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.
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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