Question

1. if a train moves at a speed of 110 miles/hour, how much time would it take for it to travel 33.4 miles?
2. if isabelles pet tarantula moves at a speed of 1.9 cm/s, how much time would it take the spider to move 20 centimeters?
3. a truck travels 15 km in 10.7 minutes. what is the speed of the truck?
4. how much time would it take to drive 75 km if your speed is 51 km per hour?
5. if you run at a speed of 7 m/s for 3 seconds, what distance would you cover?
6. a car moves south for 5 miles in 2 minutes. what is the speed of the car?

Explanation:

5.

Step1: Identify formula

We use the formula $t=\frac{d}{v}$, where $t$ is time, $d$ is distance and $v$ is speed.

Step2: Substitute values

Given $v = 110$ miles/hour and $d=33.4$ miles. So $t=\frac{33.4}{110}$ hours.

Step3: Calculate

$t=\frac{33.4}{110}\approx0.304$ hours.

Step1: Identify formula

Using $t = \frac{d}{v}$, with $t$ as time, $d$ as distance and $v$ as speed.

Step2: Substitute values

Given $v = 1.9$ cm/s and $d = 20$ cm. So $t=\frac{20}{1.9}$ s.

Step3: Calculate

$t=\frac{20}{1.9}\approx10.53$ s.

Step1: Identify formula

The formula for speed is $v=\frac{d}{t}$, where $v$ is speed, $d$ is distance and $t$ is time. First convert time to hours. $t = 10.7$ minutes $=\frac{10.7}{60}$ hours and $d = 15$ km.

Step2: Substitute values

$v=\frac{15}{\frac{10.7}{60}}$ km/h.

Step3: Calculate

$v=\frac{15\times60}{10.7}=\frac{900}{10.7}\approx84.11$ km/h.

Answer:

$0.304$ hours

6.