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The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.

The distances covered during four laps of the journey are listed in the table below

$$\begin{array}{|c|c|}\hline \textbf{Lap}  &  \textbf{Distance} & \textbf{Average Speed}\\ & \textbf{(kilometres)} & \textbf{(kilometres per hour)} \\\hline \textbf{P} & 15 & 15 \\\hline \textbf{Q} & 75 & 45 \\\hline \textbf{R} & 40 & 75 \\ \hline \textbf{S} & 10 & 10 \\ \hline  \end{array}$$

From the given data, we can conclude that the fuel consumed per kilometre was least during the lap

  1. $P$
  2. $Q$
  3. $R$
  4. $S$
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4 Answers

Best answer
3 votes
3 votes
The first graph gives the fuel consumption in kilometers per litre for various speeds and at $45$ kmph kilometers traveled per litre is $90$ which is the maximum distance per litre and so at this speed fule consumption per litre is the least.  

Second graph shows that for lap $Q$ the average speed is $45$ kmph and so for lap $Q$ we should have the least fuel consumption per litre.

Correct Answer: B.
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15 votes
15 votes
This is not very hard question, You just got to do table like the below (It is 2 mark question )
$$\begin{array}{|c|c|c|c|c|} \hline \textbf{Lap} & \textbf{Distance} &\textbf{Speed} &\textbf{Mileage} &\textbf{Total Petrol used} &\textbf{Fuel Consumed Per KM} \\\hline \text{P} & \text{15} &\text{15} &\text{60} &\text{250 ml} &\text{16.66 ml} \\\hline \text{Q} & \text{75} &\text{45} &\text{90} &\text{833 ml} &\text{11.11 ml}\\\hline \text{R} & \text{40} &\text{75} &\text{75} &\text{533 ml} &\text{13.33 ml} \\\hline \text{S} & \text{10} &\text{10} &\text{30} &\text{333 ml} &\text{33.33 ml} \\\hline \end{array}$$
So, answer is $Q$

You get speed, Mileage, Distance from given diagram. You can easily calculate

Total Petrol used in ltr =  Distance / Mileage

Per Km $\implies$ Petrol Used / Mileage.

Correct Answer: $B$
8 votes
8 votes
Lap

Distance

(kilometer)

Average speed

(kilometer/hour)

From Graph

Fuel Consumed

(kilometer/liters)

Fuel Consumed

(Liters/kilometer)

P 15 15 60 0.016
Q 75 45 90 0.011
R 40 75 75 0.013
S 10 10 30 0.033

$\therefore$  Option B. $Q$ is the correct answer.


Explanation

$P$ covers $15 km$ with an average speed of $15 km/hr.$

From the graph we can see that when speed is $15 km/hr$ then fuel consumed is $60 km/L.$

$\Rightarrow$ For 60 km fuel consumed     = $1$ L

$\Rightarrow$ For 1 km  fuel consumed       = $\frac{1}{60}$ L = $0.016$ L

$\therefore$ Fuel consumed per kilometer for Lap P is  0.016 L/km


$Q$ covers $75 km$ with an average speed of $45 km/hr.$

From the graph we can see that when speed is $45 km/hr$ then fuel consumed is $90 km/L.$

$\Rightarrow$ For 90 km fuel consumed     = $1$ L

$\Rightarrow$ For 1 km fuel consumed       = $\frac{1}{90}$ L = $0.011$ L

$\therefore$ Fuel consumed per kilometer for Lap Q is  0.011 L/km


$R$ covers $40 km$ with an average speed of $75 km/hr.$

From the graph we can see that when speed is $75 km/hr$ then fuel consumed is $75 km/L.$

$\Rightarrow$ For 75 km fuel consumed     = $1$ L

$\Rightarrow$ For 1 km fuel consumed       = $\frac{1}{75}$ L = $0.013$ L

$\therefore$ Fuel consumed per kilometer for Lap R is  0.013 L/km


$S$ covers $10 km$ with an average speed of $10 km/hr.$

From the graph we can see that when speed is $10 km/hr$ then fuel consumed is $30 km/L.$

$\Rightarrow$ For 30 km fuel consumed     = $1$ L

$\Rightarrow$ For 1 km fuel consumed       = $\frac{1}{30}$ L = $0.033$ L

$\therefore$ Fuel consumed per kilometer for Lap S is  0.033 L/km


$\therefore$ We can conclude that the fuel consumed per kilometer was least during the lap Q.

So Option B is the correct answer.

Answer:

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