algebra motion problems set 1

8/9/2019 Algebra Motion Problems Set 1

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Algebra Motion Problems

In this lesson, we will learn how to solve algebra word problems that involve motion.

Related Topics: More Algebra Word Problems

Motion (Distance) Formula

Motion problems are based on the formulad = rt

where d distance, r rate and t time.When solving motion problems, a s!etch is often helpful and a table can be used for organi"ing

the information. Example:

#ohn and Philip who live $% miles apart start at noon to wal! toward each other at rates of & mph

and % mph respectivel'. In how man' hours will the' meet( Solution:

)et x = time walked.

r t d

#ohn & x & x

Philip % x % x

& x * % x $%+ x $%

x

The' will meet in hours. Example:

In still water, Peter-s boat goes % times as fast as the current in the river. e ta!es a $/0mile trip

up the river and returns in % hours. 1ind the rate of the current. Solution:

)et x = rate of the current.r t d

down river % x * x $/ 2 / x $/

up river % x 0 x $/ 2 & x $/

Verbal Reasoning :: Logical Sequence of Words

In this t'pe of 3uestion, some words are given. 4ou have to arrange these words in a meaningful

order. The order ma' be according to age, si"e and need etc.

Example 1:Arrange the following words in a meaningful order.

$. 5eath . Marriage &. 6ducation

%. 7irth /. 1uneral

8A9 /, $, , &, %879 %, , &, $, /

89 %, &, , /, $

859 %, &, , $, /

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Answer is Option D

6;planation:

1irst of all a man is born then he ta!es education< after this he is married. Then after sometimeshe dies. After death the order is of 1uneral. =o the correct order is %, &, , $ and /.

Example 2:Arrange the following words in a logical se3uence.

$. >rass . urd &. Mil!

%. ow /. 7utter

8A9 $, , &, %, /

879 , &, %, /, $89 %, $, &, , /

859 /, %, &, , $

Answer is Option C 6;planation:

We !now that cow eats grass and then gives mil!. With the mil!, curd is made and then from

curd, butter is made.ence logical se3uence is ow, >rass, Mil!, urd, 7utter.

The rate of the current is mph.

Verbal Reasoning :: Series om!letion

5irections to =olve

hoose the correct alternative that will continue the same pattern and replace the

3uestion mar! in the given series.

$. $?, @@, ?, B&, %, (

A.&/ 7.&.&@ 5.%?

Answer C 6;planation

Ans"er: Dption A

#$!lanation:

The pattern is 0 $, 0 $@, 0 $+, 0 $/,.....=o, missing term % 0 $& &/.

. /@B/%&+, @B/%&+, @B/%&, @B/%&, (

A./@B/ 7.B/%&.@B/% 5.@B/%

Answer C 6;planationAns"er: Dption D

#$!lanation:

The digits are removed one b' one from the beginning and the end in order

alternatel'so as to obtain the subse3uent terms of the series.

&. &, $?, $?$,(A.$?$?$ 7.$??$



.$?? 5.$$?$


Ans"er: Dption

#$!lanation:

6ach term in the series is obtained b' adding $ to the s3uare of the preceding term.

=o, missing term 8$?$9

* $ $??.

%. In the series , B, $, /%, ...... what will be the th term (

A.%&+? 7.%&+%.+%%& 5.+%&%


Ans"er: Dption %

#$!lanation:

learl', ; & B, B ; & $, $ ; & /%,.....

=o, the series is a >.P. in which a , r &.

Therefore th term ar 0$ ar + ; &+ 8 ; $+9 %&+%.

/. $/,?,%/,?,(

A./ 7..$? 5.$


Ans"er: Dption A

#$!lanation:

The pattern is 0 %/, 0 &/, 0 /, .....

=o, missing term ? 0 $/ /.



Verbal Reasoning :: Arit&metic Reasoning

$. The total of the ages of Amar, A!bar and Anthon' is ? 'ears. What was the total of their agesthree 'ears ago (

A.+$ 'ears

7.+ 'ears

.+% 'ears5.++ 'ears


Ans"er: Dption A

#$!lanation:

Re3uired sum 8? 0 & ; &9 'ears 8? 0 @9 'ears +$ 'ears.

. Two bus tic!ets from cit' A to 7 and three tic!ets from cit' A to cost Rs. ++ but three tic!ets

from cit' A to 7 and two tic!ets from cit' A to cost Rs. +&. What are the fares for cities 7

and from A (A.Rs. %, Rs. &

7.Rs. $&, Rs. $+

.Rs. $/, Rs. $%

5.Rs. $+, Rs. $&Answer C 6;planation

Ans"er: Dption %

#$!lanation:

)et Rs. ; be the fare of cit' 7 from cit' A and Rs. ' be the fare of cit' from cit' A.

Then, ; * &' ++ ...8i9 and

&; * ' +& ...8ii9Multipl'ing 8i9 b' & and 8ii9 b' and subtracting, we get: /' / or ' $+.

Putting ' $+ in 8i9, we get: ; $&.

&. An institute organised a fete and $2/ of the girls and $2 of the bo's participated in the same.What fraction of the total number of students too! part in the fete (

A.2$&

7.$&2%?.5ata inade3uate

5. Eone of these


Ans"er: Dption

#$!lanation:

Eo answer description available for this 3uestion. Let us discuss.

%. A number of friends decided to go on a picnic and planned to spend Rs. @B on eatables. 1our

of them, however, did not turn up. As a conse3uence, the remaining ones had to contribute Rs.

% each e;tra. The number of those who attended the picnic wasA. 7.$

.$B 5.%


http://www.indiabix.com/verbal-reasoning/arithmetic-reasoning/discussion-1399

http://www.indiabix.com/verbal-reasoning/arithmetic-reasoning/discussion-1399



Ans"er: Dption A

#$!lanation:

/. A, 7, , 5 and 6 pla' a game of cards. A sa's to 7, FIf 'ou give me three cards, 'ou will have

as man' as 6 has and if I give 'ou three cards, 'ou will have as man' as 5 has.F A and 7

together have $? cards more than what 5 and 6 together have. If 7 has two cards more thanwhat has and the total number of cards be $&&, how man' cards does 7 have (

A. 7.&

./ 5.&/Answer C 6;planation

Ans"er: Dption

#$!lanation:

learl', we have :70& 6 ...8i9

7 * & 5 ...8ii9A*7 5 * 6*$? ...8iii9

7 * ...8iv9

A*7 * * 5 * 6 $&& ...8v9

1rom 8i9 and 8ii9, we have : 7 5 * 6 ...8vi9

1rom 8iii9 and 8vi9, we have : A 7 * $? ...8vii9

Gsing 8iv9, 8vi9 and 8vii9 in 8v9, we get:

87 * $?9 * 7 * 87 0 9 * 7 $&& /7 $/ 7 /.

Verbal Reasoning :: Direction Sense 'est Introduction:There are four main directions 0 East , West , North and South as

shown below:

There are four cardinal directions0 North-East (N-E, North-West

(N-W, South-East (S-E, andSouth-West (S-W as shown below:

$. At the time of sunrise if a man stands facing the east, his shadow will be towards west.

. At the time of sunset the shadow of an obHect is alwa's in the east.&. If a man stands facing the Eorth, at the time of sunrise his shadow will be towards his left

and at the time of sunset it will be towards his right.

%. At $:?? noon, the ra's of the sun are verticall' downward hence there will be no

shadow.



road which goes to station is Hust opposite to the road which IT0Par!, then in which direction to

ema is the road which goes to IT0Par!(

Solution:1rom II it is clear that the road which goes to IT0Par! is left to ema.

algebra motion problems set 1

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