2,890 views

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. $S$

### 1 comment

The basis Rules OF speed is

Speed = Distance/ time

and According to the Time = Distance / Speed

so check the every option and elinimated and also clear the question ask least fules so answer must be highest time they consume low fuels..

A & D both same 1 False

B  1.65 True.

C is 0.53 false

So Q are correct

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.

by

@Arjun but sir that's the maximum value so how does it say it's the least?

yes. The question is a data interpretation one. Fuel consumption is given in graph 1 interms of milage. I have edited the answer. It should be clear now. No calculation required for this question.

@Arjun sir, I believe the explanation is ambiguous. distance per kilometer and fuel consumption per litre don’t make sense to me. Shouldn’t these be distance per litre and fuel consumption per kilometer?

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: $B$

it can be directly solved (no need to consider distance traveled in a lap)---

fuel consumed per liter in a lap = 1/mileage in that lap
can someone help me how to calculate mileage from the graph

This is how unknown entries can be filled for the table:

$P:$

$1l\Leftarrow60km$

$?\Leftarrow\ 15km$

$?=0.25l/250ml$

$0.25/250ml\Leftarrow15km$

$?\Leftarrow\ 1km$

$?=250ml\times \frac{1km}{15km}=16.66ml$

 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.

by

By taking LCM of Distance traveled we can easily visualize the fuel consumption