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The radius of wheel of a truck is 70cm.It takes 250 revolution per minute.Find the speed of the truck in km/hr.

Posted by Jayesh King 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years ago

Radius = 70 cm.

No of revolution = 250 / min

No of revolution = 250 × 60 / hour

Now, Circumference = 2 π r

⇒ 2 × 22 / 7 × 70

⇒ 44 × 10

⇒ 440 cm

We have ,

{tex}\sf no \: of \: revolution = \frac{distance}{circumference} \\ \\ \sf \implies distance = 250 \times 60 \times 440 \\ \\ \sf \implies distance = 660000 \: cm \\ \\ \sf \implies distance = \frac{6600000}{100000}km \\ \\ \sf \therefore distance = 66 \: km{/tex}

Speed = distance / time

⇒ speed = 66 km / 1 hour

⇒ speed = 66 km/hr.

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