# Speed and Time Quiz 13

Home > > Tutorial
5 Steps - 3 Clicks

# Speed and Time Quiz 13

### Introduction

Speed and Time is one of important topic in Quantitative Aptitude Section. In Speed and Time Quiz 13 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Speed and Time Quiz 13 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

2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
A. 11:9 B. 13:9 C. 17:9 D. 21:9

A
We know total distance is 200 Km
If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km [110 + 90 = 200km]
So ratio of their speed = 110:90 = 11:9

### Q2

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?
A. 200 km B. 222 km C. 224 km D. 248 km

C
Let time taken to travel the first half = x hr
Then time taken to travel the second half = (10 – x) hr
Distance covered in the the first half = 21x [because, distance = time $\times$ speed]
Distance covered in the the second half = 24(10 – x)
Distance covered in the the first half = Distance covered in the the second half
So,
21x = 24(10 – x)
$\Rightarrow 45x = 240$
$\Rightarrow x = \frac {16}{3}$
Total Distance = $2 \times 21(\frac {16}{3})$ = 224 Km [multiplied by 2 as 21x was distance of half way]

### Q3

A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
A. 16 km B. 14 km C. 12 km D. 10 km

A
Let the time in which he travelled on foot = x hour
Time for travelling on bicycle = (9 – x) hr
Distance = Speed $\times$ Time, and Total distance = 61 km
So,
4x + 9(9-x) = 61
$\Rightarrow$ 5x = 20
$\Rightarrow$ x = 4
So distance traveled on foot = 4(4) = 16 km

### Q4

If a train runs at 40 km/hour, it reaches its destination late by 11 minutes. But if it runs at 50 km/hour, it is late by 5 minutes only. The correct time (in minutes) for the train to complete the journey is?
A. 13 B. 15 C. 19 D. 21

C
If the distance be x km, then $\frac {x}{40} -\frac {x}{50} = \frac {6}{60}$
$\frac {x}{4} - \frac {x}{5} = 1$
x = 20 km.
Required time = $(\frac {20}{40})$ hour – 11 minutes
= $(\frac {1}{2} \times 60 - 11)$ minutes = 19 minutes

### Q5

Busses start from a bus terminal with a speed of 20 km/hr at intervals of 10min. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8min?
A. 3 km/hr B. 4 km/hr C. 5 km/hr D. 7 km/hr

C
Distance covered in 10 minutes at 20 kmph = distance covered in 8 minutes at (20 + x) kmph
$20 \times \frac {10}{60} = \frac {8}{60(20+x)}$
200 = 160 + 8x
8x = 40
x = $\frac{40}{8}$ = 5 kmph