Question

A motorcycle covers 315 km distance with 7 liters of petrol.

i)how many kilometres does it cover with 12 liters of petrol in the same mileage?
ii)how much petrol is needed to cover 270 km in the same mileage?​

Answer 1

Explanation:

225 km travels in =25 ltr

1 km travel = 225 25

540 km will require = 22525 ×540=60 L

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Answer 2

1) 540 km

2) 6 liters of petrol

Explanation:

To answer the two questions, it is easiest to fist find the relationship between kilometers (km) and liters of petrol. Since 7 liters (L) results in 315 km, we can find the km/liter petrol conversion factor (converts liters of petrol to km):

(315 km)/(7 liters) = 45 km/L

1) 12 liters times the conversion factor will tell us how many km the motorcycle will travel"

(12 liters)*(45 km/liter) = 540 km [Note that the liters unit cancles, leaving only km]

2) To find the liters of petrol to travel 270 km, we can use the same conversion factor, but now we need to divide to get the units we want, which is km:

(270 km)/(45 km/l) = 6 liters [Note that km cancels and l moves to the top, leaving liters as the only unit.