Who thinks Time, Speed and Distance (TSD) is tough? No one I
hope!

IBPS PO had TSD, IBPS Clerical will have TSD and SBI Associates PO may have TSD too. Is a very easy chapter – and hence getting this correct in every exam that you appear for is a given and a must!

Quick Revision of the theory of TSD will be followed by some good revision worthy questions (picked up especially for you from here and there and there and here!)

IBPS PO had TSD, IBPS Clerical will have TSD and SBI Associates PO may have TSD too. Is a very easy chapter – and hence getting this correct in every exam that you appear for is a given and a must!

Quick Revision of the theory of TSD will be followed by some good revision worthy questions (picked up especially for you from here and there and there and here!)

### Understanding Time, Speed and Distance

1. When a person/or a body such as a car, moves from one place to another, we say that it has shown ‘motion’ to be able to change places.This motion – we measure using parameters such as

(i) time (how much did it take to move),

(ii) speed (how fast/slow or at what rate did the movement take place), or

(iii) distance (how much did it move).

2. Mathematically speaking, we have a formula:

*Speed x Time = Distance => S x T = D***is nothing but the ‘rate’ at which movement is taking place. Friends, important to know – ‘rates’ are**

__Speed____always__

__per____unit__; like Rs.3

__per__pencil, Rs.140

__per__kg of apples, Rs.30 per hour of internet browsing etc.

So, Speed is always

**. Okay, okay lemme explain!**

*‘distance’*__per__‘time unit’Distance may be in centimeters/meters/kilometers; time units are seconds/minutes/hours. So speed can be denoted as – 150cm/sec or 1200mts/min or 67km/hr.

**is the total time taken for the movement to happen.**

__Time__Thus,

**will the total distance traveled, at the given rate of traveling (speed) for the given time.**

__Distance__3. Derivations from the basic formula:

(i) T = D/S, when you want to find the total time of travel

(ii) S = D/T, when you want to find the speed of movement.

4. Conversion for km/hr to mtr/sec and vice versa

(i) for converting speed from km/hr to mtr/sec =

a km/hr = (a x 5/18) mtr/sec

(ii) for converting speed from m/sec to km/hr =

b mtr = (b x 18/5) km/hr.

a km/hr = (a x 5/18) mtr/sec

(ii) for converting speed from m/sec to km/hr =

b mtr = (b x 18/5) km/hr.

### Examples

1. David travels a certain distance by car at the rate of 12 km/hr and walks back at the rate of 3 km/hr. The whole journey took 5 hours. What is the distance he covered on the car? (Hints: sometimes the answers will give you the answer more easily! Look at the options and solve.)**(b) 30 km (c) 15 km (d) 6 km**

*(a) 12 km*2. In covering a distance of 30 km, Abhay takes 2 hrs more than Sameer. If Abhay doubles his speed, then he would take an hour less than Sameer. Abhay’s speed is:

__(b) 6 km/hr (c) 6.25 km/hr (d) 7.5 km/hr__

*(a) 5 km/hr*3. A man covers a certain distance at a particular speed. If he moves 3 km/hr faster he will take 40 mins less. If he moves 2 km/hr slower he will take 40 mins more. Thus the distance he covers is (in km)

(a) 45 km (b) 35 km (c) 60 km

__(d) 40 km__4. Excluding stoppages, the speed of a bus is 54 km/hr and including the stoppages the speed is 45 km/hr. For how many minutes does the bus stop per hour?

(a) 20

*(b)*5

**(d) 11**

*(c) 10*5. The ratio between speed of two highway trucks is 7:8. If the second truck covers 400 kms in 4 hours, the speed of the first truck is:

(a) 70 km/hr (b) 75 km/hr (c) 84 km/hr

__(d) 87.5 km/hr__The option in

*italics*is your answer…I hope you got em all!

Doubts if any will be discussed in the comments…so keep the comments box lively!

That is all for today, keep practicing more and more!

Get more revision notes on Quantitative Aptitude Made Easy book here