Sasi Math (Revised for 1024)

Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4338)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

A car takes 5 hours to cover a particular distance at a uniform speed of 55 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 33 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 5 hours to cover a particular distance at a uniform speed of 56 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 36 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 4 hours to cover a particular distance at a uniform speed of 57 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 35 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 6 hours to cover a particular distance at a uniform speed of 50 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 33 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 2 hours to cover a particular distance at a uniform speed of 52 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 31 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 6 hours to cover a particular distance at a uniform speed of 52 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 35 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 2 hours to cover a particular distance at a uniform speed of 56 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 34 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 2 hours to cover a particular distance at a uniform speed of 58 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 37 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 3 hours to cover a particular distance at a uniform speed of 57 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 40 $\frac{km}{hr}$

hrs

Answer:_______________

10)

A car takes 4 hours to cover a particular distance at a uniform speed of 51 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 36 $\frac{km}{hr}$

hrs

Answer:_______________

A car takes 5 hours to cover a particular distance at a uniform speed of 55 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 33 $\frac{km}{hr}$

Answer: 8 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
5(y)	55(x)
(a)	33

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

55 x 5 = 33 x a

(55 x 5)/ 33 = a

$\frac{275}{33}$ = a

8 hrs = a

A car takes 5 hours to cover a particular distance at a uniform speed of 56 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 36 $\frac{km}{hr}$

Answer: 8 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
5(y)	56(x)
(a)	36

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

56 x 5 = 36 x a

(56 x 5)/ 36 = a

$\frac{280}{36}$ = a

8 hrs = a

A car takes 4 hours to cover a particular distance at a uniform speed of 57 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 35 $\frac{km}{hr}$

Answer: 7 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
4(y)	57(x)
(a)	35

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

57 x 4 = 35 x a

(57 x 4)/ 35 = a

$\frac{228}{35}$ = a

7 hrs = a

A car takes 6 hours to cover a particular distance at a uniform speed of 50 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 33 $\frac{km}{hr}$

Answer: 9 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
6(y)	50(x)
(a)	33

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

50 x 6 = 33 x a

(50 x 6)/ 33 = a

$\frac{300}{33}$ = a

9 hrs = a

A car takes 2 hours to cover a particular distance at a uniform speed of 52 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 31 $\frac{km}{hr}$

Answer: 3 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
2(y)	52(x)
(a)	31

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

52 x 2 = 31 x a

(52 x 2)/ 31 = a

$\frac{104}{31}$ = a

3 hrs = a

A car takes 6 hours to cover a particular distance at a uniform speed of 52 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 35 $\frac{km}{hr}$

Answer: 9 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
6(y)	52(x)
(a)	35

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

52 x 6 = 35 x a

(52 x 6)/ 35 = a

$\frac{312}{35}$ = a

9 hrs = a

A car takes 2 hours to cover a particular distance at a uniform speed of 56 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 34 $\frac{km}{hr}$

Answer: 3 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
2(y)	56(x)
(a)	34

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

56 x 2 = 34 x a

(56 x 2)/ 34 = a

$\frac{112}{34}$ = a

3 hrs = a

A car takes 2 hours to cover a particular distance at a uniform speed of 58 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 37 $\frac{km}{hr}$

Answer: 3 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
2(y)	58(x)
(a)	37

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

58 x 2 = 37 x a

(58 x 2)/ 37 = a

$\frac{116}{37}$ = a

3 hrs = a

A car takes 3 hours to cover a particular distance at a uniform speed of 57 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 40 $\frac{km}{hr}$

Answer: 4 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
3(y)	57(x)
(a)	40

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

57 x 3 = 40 x a

(57 x 3)/ 40 = a

$\frac{171}{40}$ = a

4 hrs = a

10)

A car takes 4 hours to cover a particular distance at a uniform speed of 51 $\frac{km}{hr.}$ How long will it take to cover the same distance at a uniform speed of 36 $\frac{km}{hr}$

Answer: 6 hrs

SOLUTION 1 :

Given:

Time taken{hrs)	Speed(km)
4(y)	51(x)
(a)	36

As speed decreases, time taken increases.

It is in inverse variation.

So, xy = Constant

51 x 4 = 36 x a

(51 x 4)/ 36 = a

$\frac{204}{36}$ = a

6 hrs = a