Question

A cyclist rides his bike at a speed of 33 feet per secondWhat is this speed miles per hour? How many miles will the cydist travel 5 hours your computations, use the fact that mile is equal to 5280 feet. not found your answers,

Answer 1

The speed in miles per hour is 22.5 miles per hour

112.5 miles is traveled by cyclist in 5 hours

Solution:

Given that,

A cyclist rides his bike at a speed of 33 feet per second

Speed = 33 feet per second

What is this speed miles per hour?

Given that, 1 mile = 5280 feet

Therefore,

`1 \text{ feet } = (1)/(5280) \text{ mile }`

We know that,

`1\text{ second}=(1)/(3600)\text{ hour}`

So, 1 feet per second to 1 mile per hour is given as:

`1\text{ feet/second}=(3600)/(5280)\text{ miles/hour}`

Convert 33 feet per second to miles per hour

`33 \text{ feet/second}= 33 * (3600)/(5280)\text{ miles/hour}\\\\33 \text{ feet/second}= 22.5 \text{ miles/hour}`

Thus speed in miles per hour is 22.5 miles per hour

How many miles will the cydist travel 5 hours?

Time taken = 5 hours

speed = 22.5 miles per hour

The distance covered is given by,

`\text{Distance}=\text{Speed}* \text{Time}`

`\text{ Distance } = 22.5 * 5 = 112.5`

Thus 112.5 miles is traveled by cyclist in 5 hours