A car covers a distance of 40 km on 2 L 500 mL of petrol and a motorcycle covers a distance of 60 km on 1 L 500 mL of petrol. Which of these will cover more distance on 3 L of petrol and how much?
Answers
Step-by-step explanation:
Given:-
A car covers a distance of 40 km on 2 L 500 mL of petrol and a motorcycle covers a distance of 60 km on 1 L 500 mL of petrol.
To find:-
Which of these will cover more distance on 3 L of petrol and how much?
Solution:-
Distance covered by a car = 40 km
The amount of petrol used for the journey
= 2 l 500 ml
We know that
1 l = 1000 ml
2 l 500 ml = 2000+500 = 2500 ml
= 2.5 l
The distance of 40 km for 2.5 l of petrol
The distance covered by the car of 1 litre petrol =
40/2.5
=> 40/(25/10)
=> (40×10)/25
=> 400/25
=> 16 km
Car will cover 16 km with 1 litre petrol
The distance covered by the car using 3 litres of petrol
=> 16×3 km
=> 48 km -------------(1)
Distance covered by a motor cycle = 60 km
The amount of petrol used for the journey
= 1 l 500 ml
We know that
1 l = 1000 ml
1 l 500 ml
= 1000+500
= 1500 ml
= 1.5 litres
The motor cycle covered 60 km of 1.5 litres petrol
The distance will be covered by the motor cycle usin 1 litre of petrol
=> 60/(1.5)
=> 60/(15/10)
=> 600/15
=40 km
The distance will cover with 1 litre of petrol = 40 km
The distance will cover with 3 litres of petrol => 3×40
=> 120 km---------(2)
From (1)&(2)
The motorcycle will cover more distance than the car .
The motor cycle will cover 120-48 = 72 km more than the distance covered by the car
Answer:-
The motorcycle will cover more distance than the car
The motor cycle will cover 72 km more than the distance covered by the car