Question

a cyclist Travels 36 kilometre in 3 hours and a motorist Travels 96 km in 2 hours find the ratio of their speeds. hint. speed =distance /time​

Answer 1

Answer :

• Ratio of speeds = 1 : 4

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Given :

• A cyclist Travels 36 kilometre in 3 hours and a motorist Travels 96 km in 2 hours

To Find :

• Ratio of their speeds

Solution :

$\implies \large \sf Speed\:=\: \dfrac{Distance}{Time}$

• Case 1 : Cyclist

Distance = 36 km

Time = 3 hr

$\implies \sf Speed \:=\: \dfrac{36}{3}$

$\implies \sf Speed \:=\: 12\: km/hr$

• Case 2 : Motorist

Distance = 96 km

Time = 2 hr

$\implies \sf Speed \:=\: \dfrac{96}{2}$

$\implies \sf Speed \:=\: 48\: km/hr$

• RATIO OF SPEEDS :

$\implies \sf \dfrac{Case\:1}{Case\:2} \:=\: \dfrac{12\:km/hr}{48\:km/hr}$

$\implies \sf \dfrac{Case\:1}{Case\:2} \:=\: \dfrac{1}{4}$

• Ratio of speeds = 1 : 4

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Answer 2

Ratio of their Speeds is 1:4