# Speed and Time – Quiz 8

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# Speed and Time – Quiz 8

### Introduction

Speed and Time is one of important topic in Quantitative Aptitude Section. In Speed and Time – Quiz 8 article candidates can find questions with answers. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Speed and Time – Quiz 8 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is
A. 15.4 kmph B. 14.5 kmph C. 14.4 kmph D. 14 kmph

C
Given distance = 100m
Speed of kamal= 18 kmph
Time taken by kamal= $\frac {100}{(\frac {18 × 5}{18})}$ = 20 sec
Time taken by Bimal = 20 + 5 = 25 sec
So, Bimal’s speed= $\frac{100}{25}$ = 4 m/s
$\frac{4 × 18}{5}$ = 14.4 kmph
Hence option 3 is correct.

### Q2

A train, 240m long crosses a man walking along the line in opposite direction at the rate of 3 kmph in 10 seconds. The speed of the train is
A. 63 kmph B. 75 kmph C. 83.4 kmph D. 86.4 kmph

C
Given
Distance= length of train = 240m
If the speed of train be x kmph then.
Its relative speed = (x + 3) kmph
Time = length of train/relative speed
= $\frac {10}{3600}$ = $\frac{(\frac{240}{1000})}{(x + 3)}$
X + 3 = 86.4
X = 83.4 kmph
Hence option 3 is correct.

### Q3

A person walks a certain distance at 8 km/ hr and returns at 6 km/hr. If the total time taken by him in going and returning is 3 1/2 hours, the total distance walked by him is
A. 28 km B. 24 km C. 14 km D. 16 km

B
According to the question :
Let one side distance is D
T1 = $\frac {D}{8}$ ------------ (I)
T2 = $\frac {D}{6}$ ------ (II)
Adding (I) and (II)
T1 + T2 = D( $\frac {1}{8} + \frac {1}{6}$)
3 $\frac {1}{2}$ = D $\frac {( 3 + 4)}{(24)}$
$\frac {7}{2}$ = D ($\frac {7}{24}$) = D = 12 kms.
For both the sides = 12 + 12 = 24 km.

### Q4

A motor car does a journey in 10 hrs, the first half at 21 km/hr and the second half at 24 km/hr. find the distance.
A. 224 km B. 223 km C. 225 km D. 228 km

A
Distance = $\frac {2 × Time × {S}_{1} × {S}_{2}}{{S}_{1} + {S}_{2}}$
Where ${S}_{1}$ = speed during first half
${S}_{2}$ = speed during second half of journey
i.e, Distance = $\frac {2 × 10 × 21 × 24}{21 + 24}$ = 224 km

### Q5

Ram travels half of his journey by train at the speed of 120 km/h and rest half by car at 80 km/h. What is the average speed?
A. 88 km/h B. 100 km/h C. 96 km/h D. None of these

C
Average speed = $\frac {2(xy)}{(x + y)}$
Where x = 120, y = 80
$\frac {2(120 \times 80)}{(120 + 80)}$ = $\frac {2(120 \times 80)}{200}$ = 96 km/h

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