A man having 20 litres of petrol in his car, uses it for 600 km. How many kilometers will the same man travel with 19.25 litres.
There are two ways to analyze these rate problems:
a) Ratio analysis. 600km:20L::x/19.25 or
600/20=distance/19.25 and then distance= 19.25*600/20
b. Rate analysis. The rate of fuel consumption is 20liters/600km
The rate is constant, no matter the distance: 20Liters/600km= 19.25/DISTANCE and solving then
distance=(600km/20L)(19.25L)
(19.25 / 20) * 600
To find out how many kilometers the man will travel with 19.25 liters of petrol, we can set up a proportion using the given information.
The ratio of petrol to distance traveled will remain constant.
Let's denote the distance traveled with 20 liters of petrol as D1, and the distance traveled with 19.25 liters of petrol as D2.
So, we have the following proportion:
20 liters / D1 = 19.25 liters / D2
Cross-multiplying, we get:
20 * D2 = 19.25 * D1
To solve for D2, we divide both sides of the equation by 20:
D2 = (19.25 * D1) / 20
Now, we substitute the given information: D1 = 600 km
D2 = (19.25 * 600) / 20
Simplifying, we have:
D2 = (11550) / 20
D2 = 577.5 km
Therefore, the man will travel approximately 577.5 kilometers with 19.25 liters of petrol.
To calculate the number of kilometers the man will travel with 19.25 liters of petrol, we need to find the petrol consumption rate per kilometer.
To do this, we divide the total distance traveled (600 km) by the amount of petrol used (20 liters):
Petrol consumption rate = 600 km / 20 liters = 30 kilometers per liter
Now, let's calculate how many kilometers the man will travel with 19.25 liters of petrol using the petrol consumption rate:
Distance traveled = 19.25 liters * 30 kilometers per liter = 577.5 kilometers
Therefore, the man will be able to travel approximately 577.5 kilometers with 19.25 liters of petrol.